Calculus 1

Activity 1.

Directions: Answer the problems below. Write the complete solution (Given, Required, Solution) of each of the problem. Thank you very much for your time and effort!

11)

The measurement of a side of a square is found to be 15 centimeters, with a possible error of 0.09 centimeter. (a) Approximate the percent error in computing the area of the square. (b) Estimate the maximum allowable percent error in measuring the side if the error in computing the area cannot exceed 1.7%. \fA man 2 meters tall walks at a rate of 1.5 meters per second away from a light that is 5 meters above the ground (see figure). (a) When he is 3 meters from the base of the light, at what rate is the tip of his shadow moving? :mxsec (b) When he is 3 meters from the base of the light, at what rate is the length of his shadow changing? Em