Please answer all questions, make sure the arithmetic and final answer are correct.

Question 5 (Essay Worth 10 points) (03.06) Find the xcoordinates where f '(x) = D for f(x) = 2x + sin(4x) in the interval [0, Tr]. Question 6 (Essay Worth 10 points) (03.07} Find 2: for 4 + xy = y2. You must show your work to receive credit. Question 7 (Essay Worth 10 points) (04.03} A100inch strip of metal 16 inches wide is to be made into a small open trough by bending up two sides on the long side, at right angles to the base. The sides will be the same height. x. If the trough is to have a maximum volume, how many inches should be turned up on each side? Question 8 (Essay Worth 10 points) (04.07} The radius of a 10 inch right circular cylinder is measured to be 4 inches, but with a possible error of 10.1 inch. Use linear approximation or differentials to determine the possible error in the volume of the cylinder. Include units in your