Question: If we apply Rolle's Theorem to the function f(x) = 2- 4x - 2 on the interval [ - 1, 3), how many values of

If we apply Rolle's Theorem to the function f(x) = 2- 4x - 2 on the interval [ - 1, 3), how many values of c exist such that f'(c) = 0? What is the value of c? If we try to apply Rolle's Thorem to the function f(x) = 2x- 4x - 2 on the interval [ - 4, 10], which of the following conditions is not met? O continuty on [ - 4, 10] Of (a) + f(b) O differentiability on [ - 4, 10]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

8. Find the c value(s) that satisfy Rolle's Theorem for the function f (x) = 2 1x4 + 2x3 + - x? + 6x -5 on the interval [-5, 1]. 9. Find the c value(s) that satisfy Rolle's Theorem for the function f...

QUESTION 5 Given the surge function C (1) = 10t*e, att = 1, C(t) is O Decreasing O At a maximum O At an inflection point O Increasing QUESTION 6 50 Suppose a population can be modeled by P (1) = -...

Consider the function f x 2 8x on the interval 2 8 A Find the average or mean slope of the function on this interval i e 8 f 2 8 2 B By the Mean Value Theorem we know there exists a c in the open...

For the function f (x) = tan(x) 4x on the interval (/2, /2), determine the critical points, on which intervals f (x) is increasing, on which intervals f (x) is decreasing, on which intervals f (x) is...

need help with these questions (1 point) Consider the function f (x) = 4x3 5x on the interval [3, 3]. (A) Find the average or mean slope of the function on this interval. Average Slope = 31 (B) By...

Question: (A) 1 (B) 1.25 (c) 1.5 (D) 1.75 (E) 2 4 (C). On the interval [0,15] the number 0 = 0.7868 is the number guaranteed by the Mean Value Theorem for the function f (x) = cos )6. What is the...

minimum value is 2 at x = 0 ute minimum value is 5 at x = 1 mum value is -2 at X 12 6. Find the c value(s) that satisfy Rolle's Theorem for the function f (x) = x3 + 2x+ 1 on the interval [ 2, 0]. 7....

6. Find the c value(s) that satisfy Rolle's Theorem for the function f (x) = x3 + 2x2+ 1 on the interval [ 2, 0]. 7. Find the c value(s) that satisfy Rolle's Theorem for the function f (x) = x* - 4x...

Determine if the conditions of the mean value theorem are met by the function f x 2x 4x on 2 2 If so find the values of c in 2 2 guaranteed by the theorem O O f x is a polynomial and therefore is...

PLEASE MAKE WRITING AND FORMATTING CLEAR THANK YOU! 6. Find the c value(s) that satisfy Rolle's Theorem for the function f (x) = x3 + 2x2 + 'i on the interval [2, 0]. 7. Find the c value(s) that...

Two pulses A and B are moving in opposite directions along a taut string with a speed of 2.00 cm/s. The amplitude of A is twice the amplitude of B. The pulses are shown in Figure P18.2 at t = 0....

Three X-linked genes with recessive mutant phenotypes are found in Drosophila: garnet eyes (g), crossveinless wings (cv), and forked bristles (f). A female with garnet eyes, forked bristles and...

In the context of auditing financial transactions, anomalies are typically associated with:

The focus on ethics and social responsibility in the workplace are becoming increasingly high priorities. We hear regularly about organizations in the news who are being faced with lawsuits and...

1. To learn how to develop a vision that can be communicated. To gain insight into the importance of game theory for communication strategies.

9. Take a view or attitude that you hold strongly. Search for information that is opposed to this view or attitude. Discuss.

2. In what way can we say that method affects the result we get?