Questions from College Mathematics

Q: Determine whether  is differentiable at x = 0 by considering

Determine whether  is differentiable at x = 0 by considering (x) = x2/3

Q: Determine whether  is differentiable at x = 0 by considering

Determine whether  is differentiable at x = 0 by considering

Q: Repeat Problem 79 if the balloon is 1,024 feet above

Repeat Problem 79 if the balloon is 1,024 feet above the ground when the ball is dropped. Data from Problem 79: A ball dropped from a balloon falls y = 16x2 feet in x seconds. If the balloon is 576 f...

Q: The profit (in dollars) from the sale of x infant

The profit (in dollars) from the sale of x infant car seats is given by P(x) = 45x - 0.025x2 - 5,000 0 ≤ x ≤ 2,400 (A) Find the average change in profit if production is changed from 800 car seats...

Q: A company’s total sales (in millions of dollars) t months

A company’s total sales (in millions of dollars) t months from now are given by S(t) = √t + 8 (A) Use the four-step process to find S′1t2. (B) Find S(9) and S′(9). Write a brief verbal interpretati...

Q: The U.S. consumption of refined copper (in thousands

The U.S. consumption of refined copper (in thousands of metric tons) is given approximately by P(t) = 48t2 - 37t + 1,698 where t is time in years and t = 0 corresponds to 2010. (A) Use the four-step...

Q: Use the equally likely sample space in Example 2 to compute the

Use the equally likely sample space in Example 2 to compute the probability of the following events: The number on the first die is even or the number on the second die is even.

Q: Refer to the data in Table 1. (A)

Refer to the data in Table 1. (A) Let x represent time (in years) with x = 0 corresponding to 2000, and let y represent the corresponding commercial sales. Enter the appropriate data set in a graphin...

Q: The body temperature (in degrees Fahrenheit) of a patient t

The body temperature (in degrees Fahrenheit) of a patient t hours after taking a fever-reducing drug is given by (A) Use the four-step process to find F= (t). (B) Find F(3) and F= (3). Write a brief...

Q: Find the slope of the line through the given points. Write

Find the slope of the line through the given points. Write the slope as a reduced fraction, and also give its decimal form.