Good evening,

Can you help me with those questions

1.

\fA balloon is rising vertically above a level, straight road at a constant rate of 1 ft/sec. Just when s(t) is increasing by ft/sec. the balloon is 98 ft above the ground, a bicycle moving at a constant rate of 13 ft/sec passes (Simplify your answer.) under it. How fast is the distance s(t) between the bicycle and balloon increasing 6 seconds later? y 3(t ) s(t) X 0 x(t)A 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 8 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 2000 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.)Using rectangles whose height is given by the value of the function at the midpoint of the rectangle's base (the midpoint rule), estimate the area under the graph of the following function, using two and then four rectangles. y = 81 - x2 between x = - 9 and x = 9 For two rectangles, area ~ . (Type an integer or a decimal.)Find the area of the region enclosed by the curves y = x - 6x and y = - x2 + 4x. The area of the region enclosed by the curves is (Type an integer or a simplified fraction.)Using rectangles whose height is given by the value of the function at the midpoint of the rectangle's base (the midpoint rule), estimate the area under the graph of the following function, using two and then four rectangles y = 100 -x between x = - 10 and x = 10 For two rectangles, area (Type an integer or a decimal )