10) Consider the equation 4x y + sin(y ) = 16x . You may assume that y is a function of x. Use Implicit Differentiation to find Show all the steps in order to receive credit. Put a "box" around your final answer. Neatness counts.11) The surface area S of a sphere is given by S = 4mr- , where r is the radius of the sphere. Suppose that the sphere is made of an elastic material. The surface area 5 will increase over time as helium gas is pumped into the sphere and the radius of the sphere will be a function of time t. a) Find the rate at which the surface area is changing with respect to time t. In other words find . Show your work and put a "box" around your simplified answer.b) Now assume that the helium is being pumped into the sphere at a constant rate of 4 cubic centimeters per second. Find the rate at which the radius is changing with respect to time t, when the radius is 2 centimeters. In other words, find when r=2. Show your work and put a "box" around your simplified answer. Give both the exact answer and also a decimal answer rounded to four decimal places