4. Answer the following: a. A cylindrical tank with radius 10 cm is being filled with water at a rate of 3 cm³/min. How fast is the height of the water increasing? (Hint, for a cylinder V = πr²h) b. The radius of a spherical ball is increasing at a rate of 4 m/s. At what rate is the surface area of the ball increasing when the radius is 10 m? (Hint: The surface area of a sphere is given by A = 4πr²). 3. Compute the following with the specified technique of differentiation. a. Compute the derivative of y = x^cos(x) using logarithmic differentiation. [5pts] b. Find y' for the function x sin(y) + e^x = y cos(x) + e^y