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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? ​ ​

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

A buoy oscillates in simple harmonic motion as waves move past it. The buoy moves a total of 10.5 feet (vertically) between its low point and its high point. It returns to its high point every 16 seconds. Write an equation describing the motion of the buoy if it is at its high point at t = 0. ​

Find the second derivative of the function . ​

Evaluate the derivative of the function at the point . ​

Find the slope of the graph of the function at the given value. ​ when ​

A point is moving along the graph of the function  such that  centimeters per second. Findwhen . ​

Find  by implicit differentiation given that . Use the original equation to simplify your answer. ​

Find by implicit differentiation given that . ​

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. ​