Question

Asked Nov 14, 2019

38 views

f(x)= 2**x^3**+3**x^2**-36**x**

Determine whether the **Mean Value Theorem** can be applied to f on [-2,2]. If the mean value theorem can be applied, find all value(s) of c in the open interval (-2,2) that satisfies the theorem.

Step 1

Given,

Step 2

Since f is a polynomial in x, so it is continuous in the interval [-2, 2] and differentiable in the interval (-2, 2).

Now

Step 3

Now by mean value theorem there ex...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: I need help solving and understanding how to solve number 15. Thank you

A: As per the definition, the Mean Value Theorem is defined for a point “c” between two endpoints “a” a...

Q: A hunter is at a point along a river bank. He wants to get to his cabin, located 3 miles north and 7...

A: To find the distance of hunter walk along the river.Let x be the distance he doesn’t travel along t...

Q: 55-60. Approximating changes 55. Approximate the change in the volume of a sphere when its radius ch...

A: Click to see the answer

Q: Which of the given interest rates and compounding periods would provide the best investment? 2% per ...

A: Given thatThree different interest rates are as following

Q: Please assist me in finding the minimum and maximum values.

A: Definition of absolute minimum : the smallest value that a mathematical function can have over its e...

Q: The fixed sides of an isosceles triangle are of length L = 8 cm. (See the figure.) L cm L cm If the ...

A: Given, length of isosceles triangle is 8 cm. Two sides are equal which is AB and AC.

Q: Find the function F that satisfies the following differential equations and initial conditions. F'''...

A: Given:

Q: A worker is to construct an open rectangular box with a square base and a volume of 147 ft3. If mate...

A: Given,Volume of the rectangular box = 147 ft3The cost of the bottom = $6 per ft2The cost of the side...

Q: Find the absolute maximum value and the absolute minimum value f(x) = x/(64+x^2)

A: We find the critical points first. For that we need f'(x).