Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x)...
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer. f(x) = x8/9:[-2,5) Choose the correct answer below. O A. Yes, f(x) is continuous for every point of (-2,5) and differentiable for every point in (-2,5). O B. No, f(x) is differentiable for every point in (-2,5) but is not continuous for every point of [-2,5). OC. Yes, f(x) is continuous for every point of (-2,5) and differentiable for every...
My Notes 5. -'2 points SCalcET8 1.2.505.XP. (a) Graph the function fix) = x + 5/x and the secant line that passes through the points (1·6) and (10. 1 0.5) In the viewing rectangle [D, 1 2jby [D, 1 2]. 12 12 10 10 12 12 12 12 10 10 1 12 (bFind the numher c that satisfies the concluslon of the Man ale Theorem for this function fand the Interva [, 1D Need Help Read ItWatch It Talk to...
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) = 7 – 16x + 2x2, (3,5]
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]
pls show steps on how to, thanks! Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer. X - X f(x) = - 2 5x51 1<x54 2x2 - 3x + 1 Choose the correct answer. O A. No, f(x) is continuous at every point in (-2,4] but is not differentiable at every point in (-2,4), O B. No, f(x) is differentiable at every point in (-2,4) but is not continuous...
Let us verify the Mean Value Theorem with the function f(x) = VE on the interval (2,8). Solution. We have f is continuous on (2,8) f is differentiable on (2,8). f'(o) – f(8) – f(2) 8 - 2 We have f'(x) = The only value that satisfies the Mean Value Theorem is
SCALCET8 4.2.501.XP. 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) = 3 - 32x + 4x2, (3, 5]
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...
20. The function f(x)=e satisfies the hypotheses of the Mean Value Theorem on the interval [0, 16] Find all values of c that satisfy the conclusion of the theorem. a. - Sin 2e b. Sin c. -Sin d. Sin 2e2
9. (-/7 Points] DETAILS LARCALCET7 4.2.048.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following function and closed interval. MX) -10% (1,9) Isf continuous on the closed interval (1,9]? Yes No Iff is differentiable on the open interval (1,9), find f'(x). (if it is not differentiable on the open interval, enter DNE.) ) - Find (1) and (9) R1) - R9) - Find b) - Ra) for (a, b) - (1,9). b) - RO) Determine whether the Mean Value...