given that l has been defined to refer to a list, write an expression whose value is a set containing all the elements of l.
Answers
For given that L has been defined to refer to a list , the expression whose value is a set containing all the elements of L is
set = { 1,2,3,4}
Writing List in Python :Lists are used to store multiple items in one variable. Lists are one of Python's four built-in data types used to store collections of data, the other three being tuples, sets and dictionaries, all of different qualities and uses.
A list is a container which holds comma-separated values (items or elements) between square brackets where items or elements need not all have the same type.
#Programme representation
Input:
#Python code
#A list L is initialised
L = [ 3,4,2,1 ]
#set L containing all elements of list L
print(str(set(L)))
Output:
{ 1, 2, 3, 4 }
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Related Questions
for problems 16-18, find the volume of the solid obtained by rotating the specified region about the x axis. 16. Region under f(x)=x^2+3 for -1 < = x < = 2.
Answers
The volume of the solid obtained by rotating the specified region about the x-axis is 12.
Here we have to find the volume of the solid.
Data given:
f(x) = x² + 3
Limit of x is -1≤x≤2
Volume = [tex]\int\limits^2_-1 {(x^{2} + 3}) \, dx[/tex]
= ( x³/3 + 3x[tex])^{2} _{-1}[/tex]
= [( 8/3 + 6) - ( -1/3 - 3)]
= 26/3 +10/3
= 36/3
= 12
Therefore the volume is 12.
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An office is divided into 8 cubicles. How many of the cubicles are painted if only 1/8 of the cubicles are painted?
A) 2 B) 4
C) 8 D) 1
Answers
Answer:
D) 1
Step-by-step explanation:
(1/8) x 8= 1
Hope this helps!
Which of the following represents the value of an investment with a principal of $1500 with a nominal interest
rate of 2.5% compounded monthly after 5 years?
(1) $1,697.11
(3) $4,178.22
(2) $1,699.50
(4) $5,168.71
Answers
The value of an investment with a $1500 principal and a nominal interest rate of 2.5% compounded monthly after 5 years is $1,699.11. So, option 1 is correct.
What is meant by compound interest?Compound interest is the term used to describe interest on savings that is calculated using both the initial principal and interest that has accrued over time. You can earn interest on interest, which is known as compound interest. Mathematically, if you have $100 and it earns 5% interest annually, you will have $105 at the end of the first year. You will have $110.25 by the conclusion of the second year.
Amount =[tex]P(1+r/n)^{nt}[/tex]
= 1500(1+0.25/12)5*12
= $1699.50 for an investment with a principal of $1500 and a nominal interest rate of 2.5% compounded monthly after five years.
Therefore, after five years, $1,699.50 reflects the value of an investment with a $1500 principal and a nominal interest rate of 2.5% compounded monthly.
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Suppose a power series converges if |6x 12/<78 and diverges if |6x 12| 78 Determine the radius and interval of convergence. The radius of convergence is R =
Answers
The radius of convergence is a-R a+R = 6+12 =18 and 6-12 = -6 for the |6x 12/<78 and diverges if |6x 12| 78.
The set of actual numbers x wherein the collection converges is the c program language period of convergence. If there exists a actual wide variety R such that the collection converges for |x−a|R, then R is the radius of convergence.
The radius of convergence is 1/2 of of the duration of the c program language period of convergence. If the radius of convergence is R then the c program languageperiod of convergence will consist of the open c program languageperiod: (a − R, a + R). To discover the radius of convergence, R, you operate the Ratio Test.
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Burton Bush wants to retire in Arizona when he is 80 years of age. Burton, who is now 55, believes he will need $400,000 to retire comfortably. To date, he has set aside no retirement money. If he gets an interest rate of 6% compounded annually, what will he have to invest today (to the nearest dollar) to reach his goal?
Multiple Choice
$160,000
$91,243
$96,500
$93,199
Answers
Burton Bush has to invest $93,199 to get $400,000 at the end. Hence, option D is correct.
What is compound interest?Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.
As per the given information in the question,
Rate, r = 6%
Number of years, n = 25
Present value, PV = ?
Final value, FV = $400,000
Use the equation of compound interest:
[tex]PV = FV (1 + r)^-^n[/tex]
Put values from above in the given equation,
PV = 400,000 (1 + 0.06)⁻²⁵
PV = 400,000 × 0.23
PV = $93,199.
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Perform the addition or subtraction and use the fundamental identities to simplify. There is more than one correct form of the answer: cos(x) 1 + sin(x) cos(x) 1 - sin(x) 2tan
Answers
After simplifying the given equation the answer will be -2tanx.
What is identity?
An equation is referred to as an identity if it has one or more variables and is true for all alternate values of the variables for which both sides of the equation are defined.
Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios. The six trigonometric ratios are the source of all fundamental trigonometric identities.
Given: [tex]\frac{cosx}{1+sinx}-\frac{cosx}{1-sinx}[/tex]
We have to solve this.
Take cross multiplication.
[tex]= \frac{cosx - cosxsinx-cosx-cosxsinx}{(1-sin^2x)}\\= \frac{-2cosxsinx}{(1-sin^2x)}[/tex]
Since,
[tex]1-sin^2x=cos^2x[/tex]
[tex]= \frac{-2sinx}{cosx}[/tex]
Since, [tex]\frac{sinx}{cosx} = tanx[/tex]
[tex]= -2tanx[/tex]
Hence, after simplifying the given equation the answer will be -2tanx.
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help please!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation: you have to use the variables
Ackerman and Goldsmith (2011) found that students who studied text from printed hardcopy had better test scores than students who studied from text presented on a screen. In a related study, a professor noticed that several students in a large class had purchased the e-book version of the course textbook. For the final exam, the overall average for the entire class was � = 81.7, but the n = 9 students who used e-books had a mean of M = 77.2 with a standard deviation of s = 5.7.
Answers
The sample is sufficient to conclude that scores for students using e-books were significantly different from scores for the regular class.
What are the hypothesis tested?At the null hypothesis, it is tested if the scores are not different from the regular class, that is, if the mean is of 81.7, hence:
[tex]H_0: \mu = 81.7[/tex]
At the alternative hypothesis, it is tested if the scores are different from the regular class, that is, if the mean is different of 81.7, hence:
[tex]H_1: \mu \neq 81.7[/tex]
We have a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05 and 9 - 1 = 8 df, hence the critical value is given as follows:
|t| = 2.306.
Thus the decision rule is given as follows:
|t| < 2.306 -> do not reject the null hypothesis -> sample is not sufficient evidence.|t| > 2.306 -> reject the null hypothesis -> sample is sufficient evidence.What is the test statistic?The test statistic is given by the equation presented as follows:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The parameters for this problem are of:
[tex]\overline{x} = 77.2, \mu = 81.7, s = 5.7, n = 9[/tex]
Hence the test statistic is calculated as follows:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{77.2 - 81.7}{\frac{5.7}{\sqrt{9}}}[/tex]
t = -2.37.
|t| > 2.306, hence the sample is sufficient to conclude that scores for students using e-books were significantly different from scores for the regular class.
Missing InformationThe problem asks if the sample is sufficient to conclude that scores for students using e-books were significantly different from scores for the regular class? Use a two-tailed test with α = .05.
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16. Suppose A is a 3x3 matrix with real entries that has complex eigenvalue 5 _ 8i with corresponding eigenvector Find another eigenvalue and eigenvector for A. Eigenvalue Eigenvector [=]
Answers
If A is a 3x3 matrix with real entries that has complex eigenvalue -5-8i then the other eigen value is -5+8i and the other eigen vector is [tex]\left[\begin{array}{ccc}-6+5i\\-1\\-5i\end{array}\right][/tex] .
In the question ,
it is given that ,
the eigen value of the matrix is = -5+8i .
we know that ,
if A is a matrix with real entries , then both the eigen values and eigen vectors occurs in conjugate pairs ,
the other complex eigen value is conjugate ,
that is the other eigen value is = -5+8i .
and the other eigen vector corresponding to eigen value of -5+8i is conjugate at eigen vector [tex]\left[\begin{array}{ccc}-6-5i\\-1\\5i\end{array}\right][/tex] is [tex]\left[\begin{array}{ccc}-6+5i\\-1\\-5i\end{array}\right][/tex] .
Therefore , the eigen value is -5+8i and the other eigen vector is [tex]\left[\begin{array}{ccc}-6+5i\\-1\\-5i\end{array}\right][/tex] .
The given question is incomplete , the complete question is
Suppose A is a 3x3 matrix with real entries that has complex eigenvalue -5-8i with corresponding eigenvector [tex]\left[\begin{array}{ccc}-6-5i\\-1\\5i\end{array}\right][/tex] . Find another eigenvalue and eigenvector for A .
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A certain association provided data on the cost of the most popular home remodeling projects. Sample data on the cost in thousands of dollars for two types of remodeling projects are as follows.
Kitchen Master Bedroom
25.2 18.0 16.4 22.9 21.8 26.4 20.9 24.8 18.7 26.9 22.0 17.8 19.7 24.6 15.9 21.0 21.8 22.6
(a) Develop a point estimate of the difference in thousands of dollars) between the population mean remodeling costs for the two types of projects. (Use Kitchen - Master Bedroom.) thousand (b) Develop a 90% confidence interval for the difference in thousands of dollars) between the two population means. (Use Kitchen - Master Bedroom. Round your answers to one decimal place.)
Answers
As per the given confidence interval, the population mean remodeling costs for the two types of projects is -1.6
Confidence interval
The range of values that's likely to include a population value with a certain degree of confidence is known as confidence interval.
Given,
A certain association provided data on the cost of the most popular home remodeling projects.
Here we need to find the the population mean remodeling costs for the two types of projects.
Here we will find the point estimate of the difference between the population mean remodeling costs for the two types of projects using an equation,
=> X1 − X2
In order to calculate the sample mean we will use equation,
=> X = ∑x/n
Now, we have to substitute values we get,
=> X1 = 21.2
=> X2 = 22.8
Here X1 refers the sample mean remodeling costs for the kitchen and X2refers the sample mean remodeling cost for the master bedroom.
Therefore, the point estimate of the difference between the population mean remodeling costs for the two types of projects are,
=> X1 − X2 = −1.6
Therefore, we estimate that the remodeling master bedroom has the mean costs of 1.6 greater than mean remodeling costs for the kitchen.
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what is the value of the function at x=−2?
Answers
Answer: -2
Step-by-step explanation:
Draw that point of intersection. Similarly construct a horizontal line which goes through the point of intersection. The value of the function here at x = 2 is -2.
The cement manufacturing company supplies 5000 tons cement per day and it has sold $150 per ton. The company has a unit variable cost of $80 per ton of cement and it use 5% commission. Besides to this the company has S12,000 fixed cost per month. Therefore, formulate the total cost of the company and its break-even revenue?
Answers
Answer:
Step-by-step explanation:To calculate the total cost of the cement manufacturing company, you need to consider the unit variable cost, the commission, and the fixed costs.
First, calculate the total variable cost per day by multiplying the unit variable cost by the number of tons of cement produced per day: $80/ton * 5000 tons/day = $400,000/day
Then, calculate the total commission cost by multiplying the total variable cost by the commission rate: $400,000/day * 5% = $20,000/day
Next, calculate the total fixed cost per day by dividing the monthly fixed cost by the number of days in a month: $12,000/month / 30 days/month = $400/day
Finally, add the total variable cost, the total commission cost, and the total fixed cost to calculate the total cost per day: $400,000/day + $20,000/day + $400/day = $420,400/day
To calculate the break-even revenue, divide the total cost by the difference between the sales price and the unit variable cost, then multiply by the number of tons of cement sold per day: ($420,400/day) / ($150/ton - $80/ton) * 5000 tons/day = $600,000/day
This means that the cement manufacturing company needs to generate at least $600,000 in revenue per day in order to break even.
donate for kindness pal
buymeacoffee.com/hxdxis
Help with these two questions please
Answers
Answer:
a) x = -4
b) x = 4
c) y = 4
d) y = -2
y = -3/4x + 1
Step-by-step explanation:
Your horizontal lines are going to be written
y =
Your vertical lines are going to be written
x =
y = mx + b is the slope intercept form of a line.
The b is there the line crosses the x axis. It is crossing at 1, The slope is m. In this case, if you select a point on the line and go down 3 units and 4 units to the right, you will end up right back on the line again.
find the slope of the question below
Answers
Answer:6/3 or 1/2
Step-by-step explanation:
What single transformation maps ABC onto ABC?; Which rigid transformations can map triangle ABC onto triangle Fed?; What are the rigid transformations that will map โณ ABC to โณ DEF ?; Which pair of triangles can be proven congruent by the HL theorem?; Which rigid transformation S can map Triangleabc onto Triangledec ?
Answers
Single transformation maps ABC onto A'B'C' is reflection.
Given :
Reflection the single transformation maps ABC onto A'B'C' is reflection .
The rigid transformations can map triangle Δ ABC onto triangle Δ FED is reflection then translation .
The rigid transformations that will map Δ ABC to Δ DEF is rotation then translation .
pair of triangles can be proven congruent by the HL theorem is rotation then translation .
rigid transformation S can map Triangle abc onto Triangle dec is reflection then rotation .
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4. Complete: For the function f(x)=√x-1, the average rate of change to the nearest hundredth over the interval 3 ≤ x ≤ 6 is?
Answers
Answer:
the interval is positive
If x³ = 1/125 then 625x³ =
Answers
Answer: 5 i think
because if x^3 = 1/125 then 625 times 1/125 is 5
Yanilen needs to buy 5/8 pounds of peanuts at the store. The scale only measures in 16ths. What fraction will be equivalent to 5/8 with a denominator of 16
Answers
The fraction that will be equivalent to 5/8 with a denominator of 16 is 10/16
How to determine the fraction that will be equivalent to 5/8?From the question, we have the following parameters that can be used in our computation:
Fraction = 5/8
This fraction is to be converted to a fraction with a denominator of 16
This is so because the scale only measures in 16ths
So, we have the following representation
Fraction = 5/8
When 8 is multiplied by 2, the result is 16
So, we multiply 5 and 8 by 16
This gives
Fraction = 10/16
Hence. the solution is 10/16
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Find the value of x
3/4x(its a fraction) + 5 = 5 -2 (x + 7)
Answers
Answer:
Step-by-step explanation:
3/4x + 5 = 5 -2( x + 7 )
First, use Distributive Property.
-2 ( x + 7 ) --> -2x - 14
3/4x + 5 = 5 -2x - 14
Next, you can get rid of the fraction by multiplying EVERYTHING by 4...
3x + 20 = 20 - 8x - 56
Then, move x by subtracting 3x on BOTH sides...
20 = 20 - 11x - 56
Combine like terms...
20 = - 11x - 36
Add 36 on BOTH sides...
56 = - 11x
Divide -11 on BOTH sides...
56/11 = 5.09 repeating
x = 5.0909090909090909...
Correct me if I'm wrong, but there you go!
simplify the following expression a^2b^-2c^-1 / e^7
Answers
Answer:
a²/(b²ce^7)
Step-by-step explanation:
a^2b^-2c^-1 / e^7 =
= a²/(b²ce^7)
least-squares fitting of a regression line only applies when there is one dependent variable and one independent variable.
Answers
No, least-squares fitting of a regression line doesn't only applies when there is one dependent variable and one independent variable.
What are the least squares of a linear regression?A least-squares regression line, which minimizes the vertical distance between the data points and the regression line, is the line that best fits a linear relationship between two variables when the data indicates such a relationship.
Is least squares fit the same as linear regression?The most used modeling technique is without a doubt linear least squares regression. It is what most people mean when they claim they fitted a model to their data using "regression," "linear regression," or "least squares."
The independent variable in a cause-and-effect relationship is the cause, while the dependent variable is the effect. A technique for predicting the value of a dependent variable Y based on the value of an independent variable X is known as least squares linear regression. That's why least-squares fitting of a regression line doesn't only applies when there is one dependent variable and one independent variable.
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A family of statisticians is trying to decide if they can afford for their child to play youth baseball. The cost of joining a team is normally distributed with a mean of $750 and a standard deviation of $185. If a sample of 40 teams is selected at random from the population, select the expected mean and standard deviation of the sampling distribution below.oz= $185 oz= $29.25 oz = $4.63 nu2 = $118,59 0 nu2 = $18.75 nu2= $750
Answers
If a sample of 40 teams is selected at random from the population, the expected mean is $750 and the standard deviation is $29.25
The mean of the cost of joining a team = $750
Standard deviation = $185
A sample of 40 teams is selected at random from the population
The expected standard deviation = [tex]\sqrt{\frac{185^2}{40} }[/tex]
= $29.25
Here the cost of joining a team is normally distributed with a mean of $750
Here the distribution of the cost of joining is normal the mean of the sample distribution, so it will be equal to the mean of the population
The mean = $750
Therefore, the standard deviation is $29.25 and the mean is $750
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All of the following expressions have the same result, except
What operation is being done to the variable in the equation -5m = -40?
It's being multiplied by -5.
It's being multiplied by -40.
It's being divided by -5.
It's being divided by -40.
- ÷
Answers
The variable is m so it is being divided by 5
What is the arithmetic operations?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
We have,
-5m = -40
It's being multiplied by -5.
-5m = -40
-5m * (-5) = -40(-5)
25m = 200
m = 8
It's being multiplied by -40.
-5m * (-40)= -40 * (-40)
200m = 1600
m = 8
it's being divided by -5
-5m= -40
m = 8
It's being divided by -40.
-5m / (-40)= -40 / (-40)
m = 8
Hence, The variable is m so it is being divided by 5
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Gina runs every 8 days, cycles every 16 days, and jogs every 24 days. If she did all three activities on Tuesday, in how many days and on what day of the week will she do all three activities again on the same day?
Answers
When she did all three activities on Tuesday, the number of days that Gina will do all three activities again on the same day is in 48 days.
How to illustrate the LCM?The least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, denoted by lcm in arithmetic and number theory, is the smallest positive integer that is divisible by both a and b.
LCM is an abbreviation for "Least Common Multiple." The smallest multiple that two or more numbers have in common is defined as the least common multiple.
Since Gina runs every 8 days, cycles every 16 days, and jogs every 24 days. This will be:
Multiples of 8 = 8, 16, 24, 32, 40, 48
Multiples of 16 = 16, 32, 48
Multiples of 24 = 24, 48
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Find the dimensions of the rectangle of maximum area, with sides parallel to the coordinate axes, that can be inscribed in the ellipse given by
.
144* 13
Answers
Dimensions of the rectangle of maximum area will be [3, 12]
Area of Rectangular?
The formula for the area of a rectangle is multiply length x width.
The given equation represents an ellipse centered at the origin with semi-major axis 12 and semi-minor axis 3. The semi-major axis is the longer axis of the ellipse, and the semi-minor axis is the shorter axis.
unitsize(1.5 cm);
draw((-12,0)--(12,0));
draw((0,-3)--(0,3));
draw(shift((0,0))*xscale(12)*yscale(3)*unitcircle);
To find the dimensions of the rectangle with maximum area that can be inscribed in the ellipse, we should look for a rectangle with sides parallel to the coordinate axes and with one side coinciding with a semi-axis of the ellipse. This is because the semi-axes are the longest lines that can be drawn within the ellipse, and the rectangle will have the maximum area if it coincides with one of these lines.
In this case, we can see that the semi-minor axis of the ellipse is 3, so we can inscribe a rectangle with sides parallel to the coordinate axes and with one side of length 3 within the ellipse. The other side of the rectangle will be the semi-major axis of the ellipse, which is 12. Therefore, the dimensions of the rectangle with maximum area that can be inscribed in the ellipse are 3 and 12, and the maximum area of the rectangle is 3 * 12 = 36.
Answer: [3, 12]
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The superintendent of a large school district is curious about the relationship between students' grades and their participation in extracurricular activities. They take a random sample of 500500500 students and find that students with more participation in extracurricular activities are far more likely to have high grades than students with little or no participation.
What conclusion can they draw from this study?
There was an association between extracurricular participation and grades, but it's not necessarily a causal relationship.
Answers
Activities in which students participated in sports benefit in a variety of ways, including greater grades and test scores, higher academic achievements, more regularity in class attendance, and an increase in self.
Since the students also weren't assigned to a therapy group at random, the study was an observation one.It is a connection between extra curricular and academics.We don't know if extracurricular engagement resulted in higher grades since this wasn't a controlled experiment.There had been a link between extracurricular involvement and grades, but there was not definitely a causal relationship, thus they cannot make any conclusions from this research.
This was an observational study since students were not randomly assigned to treatment groups—so we can say that there is an association or a relationship extracurricular participation and grades. Since this wasn't an experiment, we don't necessarily know that extracurricular participation caused higher grades.
Hence we get the required answer.
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What sum of money will amount to #5200 in 6 years at the same rate of interest (simple) at which #1706 amount to #3412
in 20years
Answers
The sum of money that will amount to 5,200 in 6 years at the same rate at which #1706 amounts to #3412 in 20 years is 4000.
What is the rate of simple interest?The rate of simple interest for changing 1706 to 3412 in 20 years is this:
S.I = PRT/100
Since the principal amount doubled, we can call this a 100% increase.
Thus the rate in 20 years
= 100/20
=5%
Since the rate for the principal amount is 5%, we can apply the same in the second sentence which gives us:
5% × 6
= 30%
5200 = 130%X
X = 520,000/130
= 4,000
So, the sum of money that will amount to #5200 in 6 years at the same rate of interest (simple) as the initial figures is 4000.
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Find a parametrization of the boundary curve as with positive orientation if 1. Sis the part of the surface of the paraboloid z = 6 - X^2 - y^2 above the plane z=-3 with a normal vector pointing upward. a (6 cos(t), V6 sin(t), 0) b (46 cos(t), 46 sin(t), -3) C (3 cos(t), – 3 sin(t), -3) d (3 cos(t), 3 sin(t), -3) e (3 cos(t), 3 sin(t),0)
Answers
After converting Cartesian into polar form, ∂S = (3cost, 3sint, -3) at t=0→2π. So option d is correct.
In the given question, we have to find a parametrization of the boundary curve as with positive orientation if
1. S is the part of the surface of the paraboloid z = 6-X^2-y^2 above the plane z=-3 with a normal vector pointing upward.
a. (√6 cos(t), √6 sin(t), 0)
b. (√6 cos(t), √6 sin(t), -3)
c. (3 cos(t), – 3 sin(t), -3)
d. (3 cos(t), 3 sin(t), -3)
e. (3 cos(t), 3 sin(t),0)
The given paraboloid is z = 6-X^2-y^2 above the plane z=-3.
Now convert Cartesian form to the polar equation.
In polar form x=rcost, y=rsint z=z and x^2+y^2=r^2
Now z = 6-X^2-y^2
z = 6-(X^2+y^2)
z = 6-r^2
Now put z=-3
-3 = 6-r^2
Subtract 6 on both side, we get
-r^2 = -9Now r^2 = 9
Taking square root on both side, we get
r=3
Now x=3cost, y=3sint, z= -3
So ∂S = (3cost, 3sint, -3) t=0→2π
So option d is correct.
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Can I get some help solving this question I've got a picture to help
Answers
Answer:
Step-by-step explanation:
1. Inequality will switch
2. Inequality will stay the same
3. Inequality will stay the same
4. Inequality will switch
A dog weighs 80 pounds more than a cat. Their combined weight equals 120 pounds. What is the dog’s weight?
Answers
Answer:
100 pounds
Step-by-Step Explanation:
20+100=120
cat weighs 20
dog weighs 100
dog weighs 80 pounds more than the cat (20) = 100
