Month: August 2015

A mountain peak rises 4504 ft from sea level over a horizontal distance of 15,855 ft. Find the grade of the peak.   Solution:-   To find the grade of…

Find the angular size of a circular object with a 3-inch diameter viewed from a  distance of 9 yards.   Solution:-   The formula for angular size is shown below.…

Find  the surface area and the volume of the cylinder.   Solution:-   For the surface area of the cylinder, remember that it can be unrolled to form a rectangle…

Find the circumference and area of the circle having the given diameter. D = 15 cm   Solution:-   Recall the following formulas. Diameter  = 2*radius Circumference = 2 π…

Use the given graph of f(x) to find the intervals on which f’(x)  > 0.   Solution:-   f’(x) > 0 on [0,∞), f’(x) < 0 on decreasing on (-∞,0]…

Suppose that the total – cost function for a certain company to produce x units of a product is given by C(x ) = 6×2 + 45. Graph the average…

A company finds that consumer demand quantity change with respect to price at a rate given by D’(p) = . Find the demand function if the company knows that 806…

The critical values of f(x) = 4×3 – 48x +24 are x = -2 and x = 2. Use the first derivative test to determine which of the critical values…

The annual and cost functions for a manufacturer of zip drives are approximately R(x) = 520z – 0.02×2 and C(x) = 160x + 100000, where x denotes the number of…

  Suppose the price-demand equation for x units of a product is estimated to be p = 80e-0.02x, where x units are sold per day at a price of p…