Question
Asked Feb 19, 2019
1 views
Use the first Fundamental Theorem of Calculus and properties of integrals to explain why the
following are impossible:
5. J 2t dt 2x2
7. 12t dt 2 CHint: think of x-1)
8. (Section 4.3, 54) Jo f (t) dtx1, no matter what function f is
9, f,f(t) dt x2 + 1, no matter what f and a are
help_outline

Image Transcriptionclose

Use the first Fundamental Theorem of Calculus and properties of integrals to explain why the following are impossible: 5. J 2t dt 2x2 7. 12t dt 2 CHint: think of x-1) 8. (Section 4.3, 54) Jo f (t) dtx1, no matter what function f is 9, f,f(t) dt x2 + 1, no matter what f and a are

fullscreen
check_circle

Expert Answer

Step 1

Theorem used:

First Fundamental Theorem of calculus:

fullscreen
Step 2

Calculation:

From the above equation the value of F(x)=2x^2 and f(x)=2x are continuous on [0, b], where b>0

fullscreen
Step 3

Calculate the derivative of F(x)...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Find the average value of the function f(x) = e-4x on the interval [0, 1/2].   please show and expla...

A: The function is given by,

question_answer

Q: b. Find the area of the region bounded by Y = xe ax and the x-axis on the interval 0,41, where a> 0....

A: Area of region which is bounded by f(x) and x-axis on [0,4] computed as follows.

question_answer

Q: e) 1-5x - 31 8 nD 14-0.5x| 2 8 nos AR ) D6). C-17.3.), B(0,7.51 bo g) 4>-3x - 51 9-th onanibuoos-X 3...

A: You have asked a series of independent questions. I will address the first three parts. Please post ...

question_answer

Q: Calculus Question

A: Let's call the given integral as I. Further let's make the substitution: x2 + 1 = zHence, 2xdx = dzP...

question_answer

Q: Use the graph of f` and f`` to find the critical points and inflection points of f, the intervals on...

A: The graph of f’ and f’’ is given,

question_answer

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: Given infromation:The given funcion is  

question_answer

Q: a), b) and c) please. I also forgot how to write interval notation....

A: To find the direction we have to graph the function v(t)= 3t^2-36t+105 ; [0,8]. And then we check th...

question_answer

Q: Use Newton's method to approximate all intersection points of the following pair of curves. Round to...

A: Before we get into the solution of the question, let's understand a bit about Newton's method. If xn...

question_answer

Q: find the domain and range of f(x)=X5+x (the last x is supposed to be squared) and domain and range o...

A: Given information:The given function is f(x)=X5+x^2  and g(y)=1/y-2.