lim
t—>0 1-cos(2t) / sin^2 (11t)


Answers

Answer 1

Answer:

2/121

Step-by-step explanation:

Hello,

Hôpital's rule will help here.

[tex]\forall t \in \mathbb{R}^*\\\\f(t)=1-cos(2t)\text{ *** f is differentiable}\\f'(t)=2sin(2t)\\f''(t)=4cost(2t)\\f''(0)=4 \\ \\g(t)=sin^2(11t)\text{ *** g is differentiable}\\g'(t)=2sin(11t)\times 11 \times cos(11t)=2\times 11 sin(11t)cos(11t)\\\\g''(t)=2\times 11 (11cos^2(11t)-11sin^2(11t))\\g''(0)=2\times 11^2[/tex]

So the limit is 4/(2*121)=2/121

Thanks


Related Questions

One gym costs $24 per month and has a joining fee of $135. Another gym costs $39 per
month but does not have a joining fee. How many months would it take for each gym to
cost the same amount of money?

Answers

Answer:

It would take 1 month for the first gym (costs $24 per month) and 4 month for the second gym (costs $39 per month)

Step-by-step explanation:

If you add up $24 and $135 it equals 159. So for the first month you have to pay (in total) $159 dollars. So, if you want to get the same amount of money you have to multiply 39. To find out what number you need to multiply 39 with 4. Then you would have to add $3.

What is the value of x in the proportion below? 180 km/ 3 hours = 540 km/ x A. 6 B. 9 C. 12 D. 60

Answers

Answer: its 9

Step-by-step explanation: I took the test :)

What is 14 2/3 as an improper fraction?

Answers

Answer:

44

__

3

(another way to put it)

44/3

Answer:

44 / 3

Step-by-step explanation:

Pretty easy actually.

Draw a discrete graph that has a domain of 0<=x<=8 and a range of (2,4,6,8,10).Write a situation for the graph.(You don't have to draw the graph,I just want the situation)

Answers

Answer:

X² - Y² = 1

X² = (X - 0)²

Y² = (Y - 0)²

[(X - 0)²/1] -  [(Y - 0)²/1] = 1

Centro (0 , 0)

a² = 1 :   b² = 1

c² = 1 + 1 = 2

c =  

Focos :(0 +/- 1.414213562  , 0)

F1 : ( -1.414213562 , 0)

F2 : (1.414213562 , 0)

Vertices: (+/- 1 , 0)

V1: (1 , 0)

V2: (-1, 0)

Te anexo la grafica

 

 

Step-by-step explanation:

f(x) = (x - 3)² +5 transformations?

Answers

Step-by-step explanation:

Since (a - b)² = a²  - 2ab + b²

f(x) = (x² - 6x + 9) + 5  

     = x² - 6x + 14

Evaluate the problem -3-(+4)

Answers

Answer:

-7

Step-by-step explanation:

-3 - (4) = ?

Remove parentheses:

=  -3 - 4

Subtract the numbers:

= -7

First you remove the parenthesis then you subtract both number and the answer is x=-7

Archie is stranded in a war zone in the land of the Xhosas. His only chance of survival is to reach Sudland, which lies 100 miles away. There are just two routes to Sudland; one is through a desert, and the other is a long and perilous trek through the mountains. Both routes are terribly dangerous. In the past, 26% of all who tried to reach Sudland failed. Of all attempts to reach Sudland, 1 out of every 40 were by the desert route. Although it is the longer route, the mountains seem to provide more success: 75% of those who attempted to reach Sudland through the mountains were successful. To save time, Archie intends to go via the desert. What are his chances of making it through to Sudland

Answers

Answer:

The  chances of success for Archie is [tex]P(S|D) =  35\%[/tex]

Step-by-step explanation:

From the question we are told that

 The distance of Sudland from Xhosas is   d =  100 miles

  The probability  of failure is  [tex]P(F) = 0.26[/tex]

  The probability of choosing the desert route is   [tex]P(D) = \frac{1}{40} =  0.025[/tex]

The probability of reaching Sudland through the mountain is  [tex]P(S|M) =0.75[/tex]

Generally the probability of choosing the  mountains route is

         [tex]P(M) = 1 - P(D)[/tex]

           [tex]P(M) = 1 - 0.025[/tex]

             [tex]P(M) = 0.975[/tex]

Generally the probability of success is mathematically represented as

       [tex]P(S) =  1- P(F)[/tex]

         [tex]P(S) =  1- 0.26[/tex]

          [tex]P(S) =  0.74[/tex]

       

Generally the probability of success in reaching Sudland is also mathematically represented as

     [tex]P(S) =  P(S|M) * P(M) + P(S|D) * P(D)[/tex]

=>   [tex]P(S|D) =  \frac{P(S) - P(S|M) * P(M)}{P(D)}[/tex]

substituting values

=>  [tex]P(S|D) =  \frac{0.74 - 0.75 * 0.975}{0.025}[/tex]  

=>  [tex]P(S|D) = 0.35 [/tex]  

=>  [tex]P(S|D) =  35\%[/tex]

Problem:
Jett had a coupon to buy a computer for 40% off. He paid $210 for the computer. What was the original price?

Answers

Answer:

290

Step-by-step explanation:

Step-by-step explanation:

290 because of the percentages

3. 28/ч - 2x3 =
Answer

Answers

Answer:

28/4 - 2x^3 = 7- 2x^3

Hope this helps!

Answer:

1

Step-by-step explanation:

This is the answer because:

You can use PEMDAS or GEMS to help you remember the order of operations.

PEMDAS: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction

GEMS: Grouping (Parenthesis), Exponents, Multiplication and Division (whichever comes first from left to right), Addition and Subtraction (whichever comes first from left to right).

1) We have to use the order of operations in order to solve this.

2) First, we have to divide because it's the first thing there is, 28/4 = 7

3) Next, we have to multiply since we cannot subtract before multiplying because you have to follow the rules of Order of Operations. 2 x 3 = 6

4) Finally, 7 - 6 = 1

Hope this helps!

Solve the equation for x.
2
3
x −1
9
x + 5 = 20

Answers

AnsweSolve the equation for x. 2 3 x −1 9 x + 5 = 20

Step-by-step explanation:

Answer:

X=27

Step-by-step explanation:

Solve for x. Round to the nearest tenth.

Answers

Answer:

32

Step-by-step explanation:

just took it

What is the variable used to predict another variable called________.A. Independent variableB. Dependent variableC. Moderating variableD. Intervening variable

Answers

Answer:

A. Independent variable

Step-by-step explanation:

The prediction of a variable can be done if we have the independent variable. Which is the required variable that is used to determine the value of the other variable. The variable to be predicted is dependent on the required variable.

An independent variable can also be referred to as a predictor variable. When its value is known, it can be used to obtain the dependent variable.

Martha earns $16.50 an hour for a regular 40 hour week. He overtime payo is 1.5 times her regular hourly rate. This past week Martha earned $948.75 in total pay. Approximately, how many hours of overtime did she work this past week? (Round you answer to the nearest hour. Just put the number, do not include the word hour) *​

Answers

Answer:

12

Step-by-step explanation:

Regular work week is 40 hours; at $16.50 per hour, that comes to $660.

Subtracting $660 from the toal $948.75 yields $288.75, which represents her pay at the overtime rate of (1.5)($16.50/hr), or $24.75/hour

Dividing $288.75 by this overtime rate of $24.75/hr yields 11.666 ...

We conclude that she worked approximately 12 hours overtime to end up

with $948.75 total pay.

(01.01 MC)

The mean number of hours spent per day on the computer, according to a national

survey, is six hours, with a standard deviation of 2.5 hours. If each time was increased

by 1.5 hours, what would be the new mean and standard deviation? (2 points)

O 6,2.5

0 7.5,4

O 6,4

0 7.5, 2.5

Answers

Answer:

(7.5, 2.5)

Step-by-step explanation:

Given the following information ;

Mean hours (x) = 6

Standard deviation = 2.5 hours

If each time is increased by 1.5 hours, then the newly calculated mean will also increase by the same amount of time, that is 1.5 hours. This is because, since each individual item used in calculating the initial mean increased by the same amount, the average increase will be that same value (1.5 hours). Hence, the mean will increase by the same amount.

New mean = 6 hours + 1.5 hours = 7.5 hours

For the standard deviation ; which measures the variation of values from the mean, in this scenario, the standard deviation remains the same because the each value and the mean changed by equal amount, hence the bet change remains the same and so does the standard deviation.

When is there no solution to a compound inequality is it AND or OR

Answers

Answer:

The solution could begin at a point on the number line and extend in one direction. 3. In cases where there is no overlap between the two inequalities, there is no solution to the compound inequality.

Step-by-step explanation:

Rocko paid 12.50 for 25 game tickets

Answers

12.5/25=0.5
He paid each game ticket for 0.5$
He paid $0.5 for each game ticket

EXPLANATION
12.5/25

what would x equal if 1/2x-2=8

Answers

Answer:

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Your phone plan charges you an initial fee, and then a certain amount depending on the amount of data you use. They send you periodic updates of your usage and your current bill cost. After using 3 GB of data, you owe $30. After 5 GB of data, you owe $40. What is the initial fee prior to the data usage charge?

Answers

Answer:

Hi there!

Your answer is: 5$ flat rate!

Step-by-step explanation:

3x + 5 = 30

5x +5 = 40

Plz help!! Quesion above

Answers

C because you need to multiply x+3y=1 by -3 and when you add the two equations together, you get that y=-1 and plug everything back in, you get C.

Add like terms 5x + 2y + 2x - 4y - 3x

Answers

Answer:

4x-2y

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{4x - 2y}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{5x + 2y + 2x - 4y - 3x}[/tex]

Like terms are those which have the same base.

Combine the like terms and simplify

[tex] \dashrightarrow{ \sf{5x + 2x - 3x + 2y - 4y}}[/tex]

[tex] \dashrightarrow{ \sf{4x - 2y}}[/tex]

Hope I helped!

Best regards! :D

In a class of 25 students, 24 of them took an exam in class and 1 student took a make-up exam the following day. The professor graded the first batch of 24 exams and found an average score of 74 points with a standard deviation of 8.9 points. The student who took the make-up the following day scored 64 points on the exam. what is the new average

Answers

Answer:

The  value is   [tex]\mu_n  =  73.6[/tex]

Step-by-step explanation:

From the question we are told that

   The total number of students is  [tex]N =  25[/tex]

    The  number of student that took exam in class is  n  = 24

    The number that took make up exam is  k  =  1

     The  average score of the first 24 students is  [tex]\mu  =  74[/tex]

       The  standard deviation is [tex]\sigma  =  8.9[/tex]

      The  average score of the student who took make up test is [tex]\= x  =  64[/tex]

Generally the new average is mathematically represented as

      [tex]\mu_n  =  \frac{( n * \mu ) +  \= x }{N}[/tex]

      [tex]\mu_n  =  \frac{( 24 * 74 ) +  64 }{25}[/tex]

       [tex]\mu_n  =  73.6[/tex]

can someone help me with this question​

Answers

Answer:

Very Simple!

Step-by-step explanation:

Just use the distance formula!

(I'm in a math class right now, so I have to keep it brief)

Distance Formula, example:

[tex]AB=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2} }[/tex]

Just input the x and y values from A and B into here, and then that's it!

Hope this helps!

Happy Geometry!

HURRY DUE IN 20 MINUTES Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.

Answers

Answer:

1 = A

2= D

3= B

4= C

(3 1/3 −1 5/6 ) ÷ 2 1/7 −1 1/3 · 2.4

Answers

Answer:

Exact form -5/2 Decimal form -2.5 Mixed number -2 1/2

Step-by-step explanation:

BRAINLIEST TO THE FIRST CORRECT ANSWER!!The expression on the left side of an equation is shown below.

Negative 4 (x minus 2) + 5 x = box

If the equation has no solution, which expression can be written in the box on the other side of the equation?
2(x + 4) – x
x + 8
4(x + 2) – 5x
x

Answers

x+8
you just have to simplify -4(x-2)+5 which gives you x+8

Answer:

The correct answer is B. x + 8

1. Explain in words how you would solve the following equation: 4x + 1 = 6x - 11​

Answers

Answer:

your is x=6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

solve for x 5(3a+2)=-65

Answers

Answer:

a = -5

Step-by-step explanation:

5(3a + 2) = -65        given

5*3a = 15                 distributive property

5*2 = 10                   distributive property

(15a + 10) = -65       the +10 goes to the other side as -10

15a = -75                  divide 75/15

a = -5                        result

1-6(-X + 8) = -6x + 12
How many solutions are their

Answers

Answer:

no solution

Step-by-step explanation:

distribute -6 to get:

1-6x-48=-6x+12

the -6x on both sides cancels out giving you:

1-48=12

-47=12

since this isn't true there's no solution

tell me if you need more help

Answer:

There is one solution [tex]x = 4\frac{11}{12}[/tex]

Step-by-step explanation:

[tex]1-6\left(-x+8\right)=-6x+12\\\\\mathrm{Expand\:}1-6\left(-x+8\right):\quad 6x-47\\\\6x-47=-6x+12\\\\Collect\:like\:terms\:and\:simplify\\\\6x +6x =12+47\\\\12x=59\\\\\mathrm{Divide\:both\:sides\:by\:}12\\\\\frac{12x}{12}=\frac{59}{12}\\\\Simplify\\\\x =\frac{59}{12}\\\\59\div 12 = 4\:reemainder\: 12\\\\= 4\frac{11}{12}[/tex]

Solve for b b+4.22=7.08

Answers

Steps to solve:

b + 4.22 = 7.08

~Subtract 4.22 to both sides

b = 2.86

Best of Luck!

Suppose 24% of students chose to study French their sophomore year, and that meant that there were 54 such students. How many students chose not to take French their sophomore year?

Answers

171

24 % = 54

1 % = 2.25

100 % = 171

Other Questions
Mrs Perry shares out 21 biscuits betweenGemma and Zak in the ratio 1 : 6How many biscuits does each child get?biscuits.Gemma getsbiscuits and Zak gets Help me ASAP I need to be done with this in 10 minutes Which of the following is most likely to mark the boundary between continents? * 10 points A river A group of hills A lake An ocean product of 26.5 and 3/5 y = 1/9 * x - 8 what is the slope ? Got stuck on question 3 need help please I don't want a brownie because I like cookies betterWhat type of sentence is this? 1) Unlike themyth, themyth includes... Alex purchased a seven-year $600 bond at par value with a 5% coupon. What is the total value of the coupons? Why is it important to act and adjust after failure? 1.Integrate Information from Diverse Sources Read the first two paragraphs of Constantinople Rises. Then look at the map of Constantinople. What do the text and the map convey about Constantinople? What different information about Constantinople can you draw from both sources? how many key reasons are there for time getting away from you? Why might values such as self-sacrifice and loyalty have been so strongly emphasizedduring the Roman Republic? What is the value of x (8x-8) (7x+8) What is the density of lead if a cube measuring 2 cm per side has a mass of 90.8 g? Nina's grades could be better. She gets about five hours of sleep every weeknight and ten hours per night oweekends. How much sleep should she get to better concentrate on schoolwork? First city sate of the Fertile Crescent was _____ Read the quotation from "Song of Myself."I loafe and invite my soul,I lean and loafe at my ease observing a spear of summer grass.How do these lines reflect the poet's general style?O They show the poet's love of highly ornate language.O They reveal a formal, historical interpretation.O They show the poem's relaxed, candid tone.O They reveal natural processes in painstaking detail. To the ancient Greeks, citizenship meant _____. A. voting B. holding office C. military service D. patriotism E. political engagement find the distance between these two points (-6, -5) and (2, 0)