If  and

A kite 50 feet above the ground moves horizontally at a speed of 5 ft/sec. At what rate is the angle between the string and the horizontal decreasing when 100 feet of string has been let out? If necessary, round your answer to two decimal places. Include units Show your work and answers on your paper.  Clearly label your answer with the problem number hold your page up to the camera. No answer needs to be entered in the space provided. After part 1 is complete, your answer to this problem must be scanned an uploaded to part 2. 

A street light is mounted at the top of a 20 ft tall pole. A woman 6 feet tall walks away from the pole with a speed of 5 ft/sec along a straight path. How fast is the tip of his shadow moving when he is 35 feet from the pole? If necessary, round your answer to two decimal places. Include units Show your work and answers on your paper.  Clearly label your answer with the problem number hold your page up to the camera. No answer needs to be entered in the space provided. After part 1 is complete, your answer to this problem must be scanned an uploaded to part 2. 

Use formulas from Chapter 3 to answer the following questions. Let the equation of motion of a particle be   , where   is in seconds and   is in meters. Find the equation for velocity as a function of . Find the equation for acceleration as a function of . Show your work and answers on your paper.  Clearly label your answer with the problem number and the part letter and hold your page up to the camera. No answer needs to be entered in the space provided. After part 1 is complete, your answer to this problem must be scanned an uploaded to part 2. 

Suppose , where  and  are functions of . If , find  when . If necessary, round your answer to two decimal places. Include units Show your work and answers on your paper.  Clearly label your answer with the problem number hold your page up to the camera. No answer needs to be entered in the space provided. After part 1 is complete, your answer to this problem must be scanned an uploaded to part 2. 

Let   Find the linearization, , of the function at   . Use  to approximate   . Show your work and your answers on your paper.  Clearly label your answer with the problem number and the part letter and hold your page up to the camera. No answer needs to be entered in the space provided. After part 1 is complete, your answer to this problem must be scanned an uploaded to part 2.

1

Find equation of tangent line to the curve     at  . Simplify your answer and write it in slope-intercept form. Show your work and answers on your paper.  Hold your page up to the camera. No answer needs to be entered in the space provided. After part 1 is complete, your answer to this problem must be scanned an uploaded to part 2. 

The length of a rectangle is increasing at a rate of 8 cm/sec. When the length is 10 cm and the width is 7 cm, how fast is the area of the rectangle increasing? If necessary, round your answer to two decimal places. Include units Show your work and answers on your paper.  Clearly label your answer with the problem number hold your page up to the camera. No answer needs to be entered in the space provided. After part 1 is complete, your answer to this problem must be scanned an uploaded to part 2. 

Find equation of line tangent to the curve at the given point.     at