Answers
Answer:
-1
Step-by-step explanation:
The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.
d(log(x))/dx = 1/(x·ln(10))
d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))
Then the ratio of these derivatives is ...
lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x
__
At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.
d(-sin(x)cos(x))/dx = -cos(2x)
dx/dx = 1
so the limit is ...
lim = -cos(2x)/1
lim = -1 when evaluated at x=0.
_____
I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.
Related Questions
2(3х + 8) = 2х - 16 + 4х
Answers
Answer: 0= -32
Step-by-step explanation:
brainliest me
Question 10(Multiple Choice Worth 1 points)
(01.05 MC)
Which number line best shows the position of 13?
J3
ht
-4
-3
- 2
-1
0
1
3
2
4
13
-4
-3
- 2
.
-1
0
1
2.
3
4
13
+
1
-3
-2
-4
-1
0
2.
3
4
13
+
3
-4
-3
-1
0
1
2
4
Answers
Answer:
It's the first option
Step-by-step explanation:
√3 according to calculator is 1.73205...
And if you check the options given, you'd see that the first option is the closest answer
Select the correct answer.
Answers
Answer:
C
Step-by-step explanation:
ΔFDC and ΔFBA are similar AA Similarity
which of these government programs encourage hygiene practices
A. transportation regulations to prevent overcrowding
B. vaccination programs
C. cancer research
D. anti-obesity campaigns
Answers
Government programs help to protect citizens from possible hazards
exposure.
The government program that encourage hygiene practices is A.
Transportation regulations to prevent overcrowding.
Reasons:
Hygiene practices which include mainly cleanliness measures, meant to
keep a person healthy as well as to prevent contraction of disease.
Government programs such as stipulating social distancing rules reduces
airborne diseases, and other contagious diseases, and such programs are
useful as part of transport regulations.
Therefore, the government program that encourage hygiene practice
transport regulations to prevent overcrowding.
Learn more here:
https://brainly.com/question/10560365
PLS HELP ASAP ILL GIVE BRAINLKEST
Answers
Answer:
Its the bottom one x>5
Step-by-step explanation:
anyone ?????????????
Answers
Answer:
g(4) = 8
g(6) = 12
Step-by-step explanation:
come on dude, easier than that?
Zoila bought a rectangular rug. The rug is 8 feet long by 5 feet wide. What is the area of the rug?
Answers
Answer:
Zoila bought a rectangular rug. The rug is 8 feet long by 5 feet wide. What is the area of the rug?
Final Answer: The area of the rug is 1.6[tex]ft^{2}[/tex] .
Step-by-step explanation:
What is Ask? - What is the area of the rug?
Given - 8 feet long by 5 feet wide
Operation - Divide
Solution:
You can use Partial quotient or Algorithm or Box method dividing any number.
5 ÷ 8 = 1.3
But why 1.6?
Because it is the decimal form of it and it is an improper fraction.
[tex]\frac{8}{5}[/tex] OR 1.6 OR [tex]1\frac{3}{5}[/tex]Final Answer: 1.6 [tex]ft^{2}[/tex] is the area of the rug.
Hope it helps
#LetStudy
Quadratic Transformation Worksheet Nam Write the quadratic equation,
1. y = (x - 2)2 + 0
Answers
M-ental
A-buse
T-o
H-umans
Subscribe to DreamfanBG for support.
rewrite the expression as a single fraction 3/8 + 1/8
Answers
Answer:
Step-by-step explanation:
3/8+ 1/8 = 4/8
Which is the best estimate?
Answers
Graph this inequality:
y ≤ 1/4x
Answers
Graph: y < 1/3x+1/2 can someone graph this on a actual graph for me
Answers
Answer:
here you go
Step-by-step explanation:
i have added y < 1/3x+1/2 --> this shows more of range so i also attached what y = 1/3x+1/2 would look like
next time use this -
search up: desmos graphing calculator
help me find a please
Answers
Answer:
Ok, so the total answer in going to be 180 degrees. You have that 180 degrees between the two angles divided by 5. Once you divide 180 by 5, you will get the answer that is A=36
You deposit $5000 into a savings
account. If you cam a simple
interest rate of 3%, how much
interest will you earn after 5 years
Answers
Because if you multiply 5000 by .03 that equals $150 which is the amount of interest per year then you can multiply that by 5 giving you $750
Determine the solution for the following equation: (8x-8)3/2=64
Answers
Answer:
X=3
Step-by-step explanation:
Edge2021
if an angle is bisected to form two new 39° angles, what was the measure or the original angle
Answers
Answer:
78°
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
78°
Step-by-step explanation:
39 × 2 = 78
--
Bisected - Divided into two parts.
GHOST FACE CULT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! help me
Answers
Answer:
it would be A
Step-by-step explanation:
because 4x-7=1
x=2
4(2)-7=1
8-7=1
I hope this helps you
plz answer this question if you know it
Answers
Answer:
Step-by-step explanation:
You're required to basically scale the figure down. Angles will remain the same, horizontal lines will remain horizontal, but lengths will be 1/3 of the original. In particular the length DC will be only 1 square, bringing C' only one to the right of D. The distance DB will also shrink from 6 to two squares, below D. Finally, the point A' will be on the line AD, on the horizontal containing B'.
two ferries start moving toward each other from opposite riverbanks, a and b. when they pass each other for the first time, the distance to riverbank b is 100 meters. each ferry starts its return trip as soon as it reaches its destination. when the ferries meet for the second time, the distance to riverbank A is 50 meters. what is the distance between riverbanks a and b? Help I will give 40 points
Answers
Let 'x' be the distance from THE far bank where 700 is the distance to the NEAR bank
boat one has travelled 700 (rate = 700/unit time) boat two has travelled x rate = x / unit time
boat one then travels x + 400 more and boat two travels 700 + (700+x -400) more when they meet
The time is the same rate x time = distance distance/rate = time equate the distances divided by the respective rates
(700 + x + 400)/700 = ( x + 700 + (700+x-400) )/x
1100x + x^2 = 1400x + 700000
x^2-300x -700000 = 0 quadratic formula yields x = 1000
One boat travels 700 the other 1000 whe they first meet.....width of river = 700+ 1000 = 1700 m
what are equivalent ratios for 5:4here are the options: 5:4 10:4 15:12 10:8 5:8 4:5
Answers
15:12 is the equivalent ratio of 5:4
Question 1 Two autobody shops charge different rates for repairs. Bobby's Garage charges at a rate described by the equation 'R=250+22t". Sherie's Garage rate is described by the equation 'R=170+30t". In both cases, t' is the number of hours worked and R is the rate charged in dollars. How many hours must pass for the two shops to charge the same amount?
Answers
Answer:
t=12.5 hours Image transcriptions Bobby's Garage R = 200 + 18t Sherie's Gar
Step-by-step explanation:
I'm not sure what the rest is but I hope that can give you some sort of clue as to what it is :)
" t=12.5 hours Image transcriptions Bobby's Garage R = 200 + 18t Sherie's Gar"
Given the sequence 3, 1,-1, -3, ... use the arithmetic sequence formula to write an equation.
Then, find a32.
Answers
Answer:
a₃₂ = - 59
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = a₂ - a₁ = 1 - 3 = - 2 , then
[tex]a_{n}[/tex] = 3 - 2(n - 1) = 3 - 2n + 2 = - 2n + 5
Then
a₃₂ = - 2(32) + 5 = - 64 + 5 = - 59
Solve for g.
7 − –3g = 13
g =
Answers
Answer: g=2
Step-by-step explanation:
Remove the parentheses
7- (-3)g=13
Move the constant to the right
7+3g=13
Calculate
3g=13-7
Divide both sides
39=6
Answer:
g=2
PLEASEEE HELPPP ASAPP!!!!
Answers
Answer:
i gauth math NYU po meron yan
help me too with this one PLEASE
Answers
Answer: -___-
Step-by-step explanation:
A rectangular pool 12 meters by 8 meters is surrounded by a walkway of width x meters. At what
value of x will the area of the walkway equal the area of the pool?
Explain. (don’t send file)
Answers
x is the width of the sidewalk
The outside dimensions of the walkway are 12 + 2x by 8 + 2x
The total area is (12 + 2x)(8 + 2x)
The total area minus the area of the pool should be equal to the area of the pool
Hoped this helped!
Solve for u, z, y, or t.
Answers
Doubt --!!
Where is your question!??????
what is 15/2 into a mixed number
Answers
7 1/2.
2 goes into 15 7 times with one left over.
When ordering pizzas, 5 pizzas cost $60. Does this mean 9 pizzas will cost $100? Write a proportion and use cross products.
Answers
Answer:
108$.
Step-by-step explanation:
HELPPP PLEASEEEE………..
Answers
Answer:
the answer is 54°......
