Author: Anonymous

Find the slope-intercept form of the equation of the line tangent to the graph of  when . ​

A man 6 feet tall walks at a rate of 10 feet per second away from a light that is 15 feet above the ground (see figure). When he is 13 feet from the base of the light, at what rate is the tip of his shadow moving? ​ ​

Suppose the position function for a free-falling object on a certain planet is given by . A silver coin is dropped from the top of a building that is 1,372 feet tall. Determine the velocity function for the coin. ​

Evaluate  for the equation  at the given point . Round your answer to two decimal places. ​

Use logarithmic differentiation to find . ​ ​

Suppose a 20-centimeter pendulum moves according to the equation where is the angular displacement from the vertical in radians and t is the time in seconds. Determine the rate of change of when seconds. Round your answer to four decimal places. ​

The radius  r  of a sphere is increasing at a rate of 2  inches per minute. Find the rate of change of the volume when  inches. ​

Assume that  x  and  y  are both differentiable functions of  t.  Find  when and  for the equation. ​

Find an equation of the tangent line to the graph of the function given below at the given point.  , (The coefficients below are given to two decimal places.) ​

The volume of a cube with sides of length s is given by . Find the rate of change of volume with respect to s when centimeters. ​