Consider the following function. f( x) = x3 +3x2 - 24x + 1 (a) Make a sign diagram for the first derivative. ---Select--- v ---Select--- v ---Select--- v ---Select--- v ---Select--- v X = X = (b) Make a sign diagram for the second derivative. ---Select--- v ---Select--- v ---Select--- v X =(c) Sketch the graph, showing all re ative extreme points and inflection points. 50 - 50 50' 50 11. [-11 Points] DETAILS BERRAPCALCBR? 311.033. MY NOTES ASK YOUR TEACHER A homeowner wants to enclose three adjacent rectangular pens of equal size along a straight wall, as in the following diagram. If the side along the wail needs no fence, what is the largest total area (in square feet) that can be enclosed using only 960 feet offence? 12. [-I2 Points] DETAILS BERRAPCALCBR7 33.067. MY NOTES ASK YOUR TEACHER The side oFa cube is measured to be 20 inches, with an error of 0.02 inch. Find the error (in square inches) and the relative error (as a percentage) in the claim that the surface area of the cube is 2400 square inches. (Round your answers to one decimal place.) error :I square inches relative error :I %