Please help with question 5-11 all multiple choices and 1 answer. Please help asap, will rate helpful!

Question 5 {1 point} x! Saved When looking for optima, why do we differentiate and set the derivative equal to zero? 6) This finds critical points, and all critical points are local maxes or mins. 0 This finds local mates and mins, and all critical points are local maxes or mins. 0 This find critical points, and all local mates and mins are critical points Question 6 {1 point} Goal: Choose the point C so that the total length of string used to connect A and B is minimized. 4mv- C 3m Which length can you control? 0 Top side, left of C {horizontal}, or right of C {horizontal} 0 Left side {vertical} 0 The distance between A and B Question 6 {1 point} Goal: Choose the point C so that the total length of string used to connect A and B is minimized. 4mt C 3m Which length can you control? 0 Top side, left of C {horizontal}, or right of C {horizontal} 0 Left side {vertical} 0 The distance between A and B 0 Right side {vertical} Question 7 (1 point) 4 m X C 2 m 3 m Having defined x, what is the best way to describe the last missing side length? OV32 + x2 04-x Ox -4 Oy Question 8 (1 point) -4 m x C 2 m 3 m B Which function below should be minimized to find the location of C?Question 8 (1 point) Which function below should be minimized to find the location of C? Oren) = W+ m Of(x)=m Om = W+ m Om = W+ W Question 9 (1 point) 4 m X C 2 m 3 m B Where is the critical point of f(x)? (Do the calculations: it will take several solving steps) O Between x = 0.5 and x = 1 O Between x = 0 and x = 0.5 O Between x = 1.5 and x = 2 O Between x = 1 and x = 1.5 Question 10 (1 point) A box with an open top is to be constructed from a square piece of cardboard that is 12 inches wide by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. XQuestion 10 {1 point} A box with an open top is to be constructed from a square piece of cardboard that is 12 inches wide by cutting out a square from each of the four comers and bending up the sides. Find the largest volume that such a box can have. Your Answer: :] Answer Question 11 {1 point) You have been asked to design a cylindrical can {side, top and bottom} that can hold exactly one litre of liquid. What dimensions minimize the surface area of the can? r = radius h = height h O The surface area is minimum when h=2r O The surface area is minimum when r=2h O The surface area is minimum when h=3r O The surface area is minimum when h=r