Determine for the the fuction guaranteed value f(x)= x²+x-2 at in conclusion of the interval Theorem...

Question

Question

Answer 1

Answer #1

(1).Solution: Given function is f(x) = x2 + x -2 on [-2,1] f(x) = { [x²+x-2] dx x) = nx n-1 f(x) = 2x +1 Since f(x) is the

Answer 2

Similar Homework Help Questions

Determine whether Rolle's Theorem can be applied to f(x) = cos(x) + sin(x) on the interval...

Determine whether Rolle's Theorem can be applied to f(x) = cos(x) + sin(x) on the interval (7/2, 7)? If so, find the point(s) guarenteed to exist by Rolle's Theorem. [6]
8. (12) Find the number guaranteed by the Mean Value Theorem for the function f(x)= on...

8. (12) Find the number guaranteed by the Mean Value Theorem for the function f(x)= on the interval [0, 3). 3
8. (12) Find the number guaranteed by the Mean Value Theorem for the function f(x) =...

8. (12) Find the number guaranteed by the Mean Value Theorem for the function f(x) = on the interval (0,3). 3

Determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]

Determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. (Select all that apply.)f (x) = sin(x), [0, 2π]If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)I thought the derivative would be cos(x) so then cos(0) would be 1 but thatz wrong so now I don't understand...
5. For f(x) = 1 - x? on (-2, 1], do the hypotheses and conclusion of...

5. For f(x) = 1 - x? on (-2, 1], do the hypotheses and conclusion of Rolle's Theorem hold? 6. Explain why not all of the hypotheses for the Mean Value Theorem hold for f(x) = 1 - Ixl on (-1,2]. A 5 Jul 20, Doc 2.pdf 29 smu sum....pdf test 28 math su....pdf 24
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then...

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.) f(x) = 2 – 24x + 2x2, [5, 7]

3 (as state Rolle's Theorem and apply it for (3pts) the function f(x) = 4x-x² on...

3 (as state Rolle's Theorem and apply it for (3pts) the function f(x) = 4x-x² on interval [0,47 (b) State mean Value Theorem and apply it for the function g(x) = 6x² on the interval [1, 2] (3 pts)
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then...

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers that satisfy the conclusion of Rolle's Theorem. f(x)=x-5x° +6x+2, (0.4) Select one: o 1.9 - 0 6.6 = 12 + c = 12 - 3 O C. None of the above 5. 3 S ſ d.. + 3 .C= 3 o e. c = 2 + -=2+2,03 o te=2-23
2. Determine whether Rolle's Theorem applies to the function f(x) = x(x - 1)?: [0,1]

2. Determine whether Rolle's Theorem applies to the function f(x) = x(x - 1)?: [0,1]

a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on...

a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on the interval [3,5). b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. O A. No, because the function is continuous on the interval [3,5), but is not differentiable on the interval (3,5). OB. No, because the function is differentiable on the interval (3,5), but is not continuous on the...