Exam 4: Applications of Differentiation

Let P (x) and Q (x) be polynomials.Find if the degree of P (x) is 2 and the degree of Q (x) is 6.

Estimate the absolute maximum value of the function to two decimal places on the interval

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.

The manager of a apartment complex knows from experience that all units will be occupied if the rent is per month.A market survey suggests that, on the average, one additional unit will remain vacant for each increase in rent.What rent should the manager charge to maximize revenue?

A manufacturer has been selling 1,200 television sets a week at $400 each.A market survey indicates that for each $30 rebate offered to the buyer, the number of sets sold will increase by 60 per week.Find the demand function.Select the correct Answer

Evaluate the limit.

Approximate the zero of to within 0.00001.

The graph of the derivative of a continuous function f is shown.On what intervals is decreasing? .

Estimate the extreme values of the function.Round theAnswers to the nearest hundredth.

Find the maximum and minimum points of the function.

Find the maximum and minimum points of the function.

Find the point(s) of inflection of the graph of

Select the correct Answer for each question. -A piece of wire long is cut into two pieces.One piece is bent into a square and the other is bent into an equilateral triangle.How should the wire be cut for the square so that the total area enclosed is a minimum? Round yourAnswer to the nearest hundredth.

Use Newton's method to approximate the zero of between and using Continue until two successive approximations differ by less than 0.00001.Select the correct Answer

You are given the graph of the derivative of a function (a) Determine the intervals on which is increasing or decreasing.(b) Find the x-coordinate of the relative maxima and relative minima of

Find the local and absolute extreme values of the function on the given interval.

Select the correct Answer for each question. -Find

Select the correct Answer for each question. -The function satisfies the hypotheses of the Mean Value Theorem on the interval Find all values of c that satisfy the conclusion of the theorem.

Find the smallest possible area of an isosceles triangle that is circumscribed about a circle of radius Select the correct Answer