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Problem Name

Problem Description

Notes

business_calculus_1

Find the equation and sketch the graph of the line with slope = ¾ and business_calculus_1_1.gif-intercept (0,-1).

 

business_calculus_2

Find the equation and sketch the graph of the line horizontal with height 3 units above the business_calculus_2_1.gif-axis.

 

business_calculus_3

Differentiate business_calculus_3_1.gif.

 

business_calculus_4

Differentiate business_calculus_4_1.gif.

 

business_calculus_5

If business_calculus_5_1.gif, find business_calculus_5_2.gif.

 

business_calculus_6

If business_calculus_6_1.gif, find business_calculus_6_2.gifand business_calculus_6_3.gif.

 

business_calculus_7

Compute business_calculus_7_1.gif.

 

business_calculus_8

What is the slope of the curve business_calculus_8_1.gif at business_calculus_8_2.gif? Write the equation of the line tangent to this curve at business_calculus_8_3.gif.

 

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 business_calculus_9_1.gif seconds, the binoculars have height business_calculus_9_2.gif 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:
business_calculus_10_1.gif

 

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