Good afternoon,

can you help me with those questions

1.

Use I'Hopital's rule to find the following limit 3x- 6x lim X-+00 7x6 + 7 3x- 6x lim (Type an integer or a fraction.) X-+0o 7x +7.\fA silo (base not included) is to be constructed in the form of a cylinder surmounted by a hemisphere. The cost of construction per square unit of surface area is 10 times as great for the hemisphere as it is for the cylindrical sidewall. Determine the dimensions to be used if the volume is fixed at 12000 cubic units and the cost of construction is to be kept to a minimum. Neglect the thickness of the silo and waste in construction. The radius of the cylindrical base (and of the hemisphere) is |ft (Round to the nearest tenth as needed.) The height of the cylindrical base is |ft (Round to the nearest tenth.)Find the absolute maximum and minimum values of the following function on the given interval. Then graph the function X f(X) = - + Inx, 0.8sx=4 Find the absolute maximum, value. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The absolute maximum value occurs at x = (Type exact answers. Use a comma to separate answers as needed.) O B. There is no absolute maximum. Find the absolute minimum value. Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The absolute minimum value occurs at x = (Type exact answers. Use a comma to separate answers as needed.) O B. There is no absolute minimum. Graph the function. Choose the correct answer below. O A. O B. O C. 257 O OD. 2 - 1.5- 2- 257 1.5- 2- 1.57 1.57 0.5-7 off X 0.57 0.5 ofUse I'Hopital's Rule to find the limit In (x2 + 12x) lim In x x->0 In (x2 + 12x) lim (Type an exact answer.) In x X-+0Use I'Hopital's Rule to find the following limit. 5x2 lim X-0 2 In ( sec x) 5x2 lim (Type an exact answer.) X-0 2 In ( sec x)