Problem Name

Problem Description

Notes

business_calculus_1

Find the equation and sketch the graph of the line with slope = 3⁄4 and -intercept (0,-1).

business_calculus_2

Find the equation and sketch the graph of the line horizontal with height 3 units above the -axis.

business_calculus_3

Differentiate .

business_calculus_4

Differentiate .

business_calculus_5

If , find .

business_calculus_6

If , find and .

business_calculus_7

Compute .

business_calculus_8

What is the slope of the curve at ? Write the equation of the line tangent to this curve at .

business_calculus_9

A helicopter is rising at a rate of 32 feet per second. At a height of 128 feet, the pilot drops a pair of binoculars. After seconds, the binoculars have height feet from the ground. How fast will they be falling when they hit the ground?

business_calculus_10

Determine if the following limit exists. If so, compute the limit: