Chapter 5.2, Problem 56E

If you travel 300 miles on the first day and then drive v miles per hour for t hours on the second day, then the total distance traveled over the teo-day period is given by d=300+vt miles. Use a formula to express v as a function of d and t for this two-day event.

3 The function f is defined by f(x) = x³ - 5 sin (2x). Find all values of x that satisfy the conclusion of the Mean Value Theorem on the interval [-1.5, 2]. You may use a calculator and round to the nearest thousandth.

Show that the function f(x)=x satisfies the hypothesis of the Mean Value Theorem on the interval [0,2]. S(b)- f(a) Then find a solution c to the equation ƒ (c) =- on this interval. Write a sentence to interpret b-a what you found.