F(x) = the integral from 0 to x cos(t^2)dt. Use your calculator to find F’(1)

Answers

Answer 1

By the fundamental theorem of calculus,

[tex]\displaystyle F(x) = \int_0^x \cos(t^2) \, dt \implies F'(x) = \cos(x^2)[/tex]

and so F'(1) = cos(1).


Related Questions

Help please !!!!!!!!

Answers

Answer:

yes

Step-by-step explanation:

yes, they are congruent for the AAS rule ( angle angle side)

Please help quick ..

What distance was an object moved by a force of 35 N if the work was 665 joules?

19m

23,275m

630m

22m

Answers

Answer:

19m, A

Step-by-step explanation:

Work = Force x distance

so rearrange to get:

distance = Work ÷ Force

distance = 665÷35

distance = 19m

please explain why. Thanks

Answers

Question :-

Is (x-2) is a factor of x³-3x²-x +7 –

Yes No ☑

Explanation :-

We are given

Polynomial function, P(x) = x³-3x²-x +7

In order to check if x - 2 is a factor of x³-3x²-x +7 or not, we must show that P(2) = 0.

Let's find value of x!

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf P(x) = x³-3x²-x +7[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf Q(x) =x - 2 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf If \:Q(x) = 0[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x - 2 = 0[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x = 2[/tex]

Now Put x = 2 into the polynomial –

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) = 2³-3(2)²-2+7}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 - 3 \times 4 +5[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 -12 +5[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 13-12[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) =1 }[/tex]

Since the value of the polynomial function st x = 2 is not Zero (0). Henceforth, ( x - 2) is a factor of  x³-3x²-x +7.

________________________________________

a film start at 17:15 and finish at 1 hour and 45 minutes later. what time did it finish?​

Answers

It ended at 19:00 or at 7 pm

Solve for xx. Leave your answer in simplest radical form.

Answers

Answer:

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

solve one step equation



-3x = -9

Answers

Answer:

x = 3

--------------------------------------------------------------------------------------------------------------

Step-by-step explanation:

-3x = -9

You have to do the inverse operation to solve a linear equation. In this case, the operation is multiplication (-3x) and the inverse would be division.

Thus, we would divide both sides by the coefficient (-3)

-3x/-3  =  -9/-3

Thus, we isolate the variable x, and the result is

x = 3

--------------------------------------------------------------------------------------------------------------

Check:

To check our answer, all we have to do is substitute the value of x.

So, we would substitute the equation as

-3(3) = 9

-3 multiplied by 3 is -9, so our answer is correct.

I’m desperate at this point

Answers

1st:
Yes functuon
D:{-4,0,1}
R:{-6,4,8}

2nd:
No function
D:{-3,2,18}
R:{6,9}

3rd:
Yes function
D:{9,13,25}
R:{7,8}

Bret buys a dining table that costs $150 before tax. The sales tax is 8%. How much sales tax did he pay?

Answers

Answer:

$12

Step-by-step explanation:

to find sales tax you multiply the cost by the percentage

you do 150 * 8%

thats also 150 * 0.08

150 * 0.08 is 12

so you pay $12 in tax

Bret paid $12 as sales tax.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.

We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.

Assume that he paid $[x] as sales tax. Then, we can write -

[x] = 8% of 150

[x] = (8/100) x 150

[x] = 12

Therefore, Bret paid $12 as sales tax.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

if you discovered a leaking faucet in your home , do you think it would be important to get it fixed why or why not ??

Answers

Answer:

b

Step-by-step explanation:

It is important to get a leaking faucet fixed as soon as possible to save water, money, and prevent potential problems in the future.

It is important to get a leaking faucet fixed because of the following reasons;

1. Water waste: A leaking faucet wastes a significant amount of water over time, which can contribute to higher utility bills and water shortages in drought-prone areas.

2. Cost-saving: Fixing a leaking faucet can save you money in the long run by reducing your water bill.

3. Preventing bigger issues: Ignoring a leaking faucet can lead to more serious plumbing problems down the line, which can be more expensive to fix.

4. Environmental impact: Wasting water unnecessarily has a negative impact on the environment and can contribute to water scarcity.

Overall, it is important to address a leaking faucet promptly to save water, money, and prevent potential problems in the future.

Learn more about Water waste here;

https://brainly.com/question/29975969

#SPJ2

A sheet of plastic is 0.12 cm thick. The sheet of plastic is folded so that the folded sheet is twice as thick after each fold.
2. How thick will it be after 3 folds?
1. What is the least number of folds you have to make before the folded plastic is thicker than 3.6 cm?​

Answers

Answer:

1. the plastic will be 0.48 cm thick after 3 folds

Step-by-step explanation:

The volume of a room is 640 cubic feet. If the length is 10 feet and the width is 4 feet, find the height

Answers

Answer:

16

Step-by-step explanation:

Divide 640 by 40.

[tex]640 = x \times 10 \times 4[/tex]

[tex]640 = 40x[/tex]

Divide both sides by 40

[tex] \frac{640}{40} = \frac{40x}{40} \\ [/tex]

[tex]x = 16[/tex]

Thus the height would be 16 feet .

Given the probabilities below, for what P(A) are events A and B independent? P(B)=0.5 P(A and B)=0.25.

A) 0.75
B) 0.5
C) 0.25
D) 0

Answers

the answer is 0.75, ive had this before


Line v passes through points (4,1) and (6, 6). Line w is parallel to line v. What is the slope of
line w

Answers

Is there a picture I can see so I can help you out?

Find the slope of the line that passes through (84, 7) and (85, -25). Simplify your answer and write it as a proper fraction, improper fraction, or integer.​

Answers

Answer: The slope is -32

Explanation:

Start with the slope formula:

m= (y2 - y1) / (x2 - x1)

Substitute point values in the formula

m = (-25 - 7) / (85 - 84)

Simplify each side of the equation

m= (-25 - 7) / (85 - 84) = -32/1

Solve for slope (m)

m= -32

Layla has 5.49 pounds of wood she divides it into 7
so basically 5.49÷7

Answers

Answer:

0.7842857142857143

Step-by-step explanation: i would right an explanation but i cant put it all so you will just have to trust me

Can someone please explain how to do the complex algebraic equation? I couldn't find any answers online

Answers

A complex equation is an equation that involves complex numbers when solving it. For example, <4+3i> is a complex number. The 4 or a part is the real part of the number and the 3i or b part is the imaginary part of the number.

A square has sides of length 36.5 yards. What is the area?

Answers

Answer:

1332.25 yd²

Step-by-step explanation:

To find the area, you do length times width. Since it is a square and each side is 36.5, you do 36.5 * 36.5 to find the area.

36.5 * 36.5=1332.25

1332.25 yd^2 would be your answer

Which expression is equivalent to

Answers

Step-by-step explanation:

this is very blurry. please make sure you pick the answer option that is the exact result of the solution here.

to get the full result, we can split the individual multiplications of fractions apart, simplify the individual fractions, and then simply connect them again :

-9/-15 = 3/5

x^‐1/x⁵ = 1/x¹x⁵ = 1/x⁶

y^-9/y^-3 = y³/y⁹ = 1/y⁶

so, by multiplying all 3 parts together again we get

3/(5x⁶y⁶).

I suspect this is the second answer option, but please make sure.

i posted this more then 2 times can someone help

Answers

The question isn’t showing

Answer:

yes

Step-by-step explanation:

yes ......................................


The graphs below have the same shape. What is the equation of the blue graph?

Answers

Answer:

B. G(x)=(x-2)^2 + 1

Step-by-step explanation:

the graph shifts two to the right x^2 turns into (x-2)^2

and the y value shifts from 0 to 1 (+1)

together, we get (x-2)^2 + 1

:)

Rename 3/4 and 9/10 using the least common denominator

Answers

See attached picture please

154 sq. cm is the area of a circle
so find its radius
[tex]\pi =\frac{22}{7}[/tex]

Answers

Answer:

r = 7 cm

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( where r is the radius )

Given A = 154 , then

πr² = 154 , that is

[tex]\frac{22}{7}[/tex] r² = 154 ( multiply both sides by 7 to clear the fraction )

22r² = 1078 ( divide both sides by 22 )

r² = 49 ( take square root of both sides )

r = [tex]\sqrt{49}[/tex] = 7 cm

helppppp meee pleaseeeee !!!!! :(

Answers

Answer:

70°

Step-by-step explanation:

the bottom small triangle is isosceles, which means in this case it has 2 35° angles. the third angle y is 180-2*35=110°

x is 180 - y = 180-110 = 70°

70 degrees is the answer

The points in the table lie on a line. Find the slope of the line.

Answers

5/2 or 2.5
Hope this helps!

9-3÷1/3+1
can you pleas solve this question
please hurry

Answers

Answer:

9

Step-by-step explanation:

pemdas

9-3÷1/3+1

division

3 and 1/3 becomes 1

we have 9-1+1

which simplifies to 9

lois made a dish with 6 1/3 cups of pasta . One serving of the pasta is 0.2 cups. How many servings of pasta were in the dish Lous made?

Answers

Answer:

33 2/3

Step-by-step explanation:

First you would change 0.2 to a fraction. This would be 1/5. You would then have to make these two have a common denominator. 6 1/3 would also become an improper fraction for visual sake.. The lowest common denominator they share is 15. I've drawn the process in the image above.

So now we have 95/15 and 3/15. From here, we would divide 95 by 3.

95 ÷ 3 = 31 10/15

This would give us 31 and 10/15 servings of pasta in the bowl. If we're talking about full servings, 31 would be the correct number, but if we're talking exact, then it is 31 2/3.

What is the expected value of X?


X 3 4 5 7 9
P 0.2 0.1 0.25 0.05 0.4

6.2
6.05
5.95
5.6

Answers

Multiply each X by its corresponding probability P, then add up them up.

E[X] = 3•0.2 + 4•0.1 + 5•0.25 + 7•0.05 + 9•0.4

⇒   E[X] = 6.2

The leader of the Protestant Reformation was a German monk called ___.

Answers

Short answer:Martin Luther

Long explanation so Brainly will let me submit that: He started it all with his arguments against the indulgences the Churches gave out and basically started the reformation and led it through to influence others and start the Lutheran’s. Who sought Christianity differently and protested the Catholics.

Tell me which option is correct: (0,m) (b,0) (m,0) (0,b) which one of those

Answers

Answer:

search-icon-header

Search for questions & chapters

search-icon-image

Class 11

>>Physics

>>Units and Measurement

>>Errors in Measurement

>>You measure two quantities ...

Question

Bookmark

You measure two quantities as A=1.0m±0.2m, B=2.0m±0.2m. We should report correct value for

AB

as

Medium

Solution

verified

Verified by Toppr

Correct option is

D

1.4m±0.2m

Here, A=1.0m±0.2m, B=2.0m±0.2m

AB=(1.0m)(2.0m)=2.0m

2

AB

=

2.0m

=1.414m

Rounding off to two significant figures, we get

AB

=1.4m

AB

ΔAB

=

2

1

(

A

ΔA

+

B

ΔB

)=

2

1

(

1.0

0.2

+

2.0

0.2

)=

2

0.3

Δ

AB

=

2

0.3

×

AB

=

2

0.3

×1.414=0.212m

Rounding off to one significant figure, we get

Δ

AB

=0.2m

The correct value for

AB

is 1.4m±0.2m

PLEASE HELP. Select all the correct answers.

Which sequences of transformations applied to shape I prove that shape I is similar to shape II?

reflection across the x-axis, followed by a reflection across the y-axis, and then a dilation by a scale factor of 0.5

a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 0.5

a 180° counterclockwise rotation about the origin, and then a dilation by a scale factor of 0.5

a translation 2 units down and 5 units left, and then a dilation by a scale factor of 0.5

Answers

Answer: 2 4 3

Step-by-step explanation:

Other Questions
2 examples of non fossil fuels ? 1) For which pair of triangles could ONLY the Side Angle Side postulate (SAS) be used to prove the triangles congruent?A) Pair AB) Pair B9 PairD) Pair D2) For which pair of triangles could either the Side Angle Side postulate (SAS) or Side Side Side postulate (SSS) be usedto prove the triangles congruent?A) Pair AB) Pair BC) Pair CD) Pair D create a equation to solve for the mid segment with bases x-6 and 2x-9 what happens to pearl at the end of the scarlet letter At the end of the Crimson Comet's soccer season, Coach Jackson hosted a party for the players. He had 20 players on his team and ordered enough extra large pizzas for each player to eat 3 slices. Extra large pizzas have 10 slices each and cost $17. How much did all the pizzas cost? Why doesnt people like me? You work in sales, and you find your work to be more of a lifestyle than a job. It often involves complex customer situations and weeks of preparation and problem solving to help find workable solutions for those situations. You enjoy it because it enables you to travel to many places and interact with people continuously. However, much of your work involves careful follow-up after your customer visits. Which personal sales channel have you chosen as a career why are salmon important to native American? Which statement describes a way lava usually affects the shape of a shield volcano?(1 point)Thick lava flows a long distance before cooling, forming steeply sloping sides.Thick lava flows a short distance before cooling, forming gently sloping sides.Thin lava flows a long distance before cooling, forming gently sloping sides.Thin lava flows a short distance before cooling, forming steeply sloping sides. all pressure topics in physics If you liquidate $3,000 of your money market mutual fund and transfer the funds to your checking account, then initially, M1 will ________ and M2 will ________. Group of answer choices hehehehehehhhehehe help It is important for the salesperson to pay close attention to the buyer's interests during the need discovery phase to: What could you say if you did not believe all perspectives were being heard in a group discussion? ""Letas try thinking about it another way. "" ""Everyoneas saying the same thing. "" ""Nobodya's listening to me. "" ""Thereas only one right answer. "". What number makes the expressions equivalent? Enter your answer in the box. 12 (""1. 4m 0. 4) = m 0. 2. sin^2 - seccos + cos^2 = Austin always saves 65% of the money he earns from mowing lawns. find the expression that represents the amount of the money Austin saves from mowing lawns where might we see changes in concentration in nature and how could these changes affect living organisms? Graph 7x+y=10x-4. Show your work and explain the method used to determine the graph. Which aspect of a reconstruction plan would Charles Sumner most likely support?