Find the minimum cost of a rectangular box that is three times as long as it is wide and which holds 100 cubic centimeters of water. The material for the bottom costs 7 per cm, the sides cost 50 per cm and the top costs 20 per cm Select one: O a. About $9.87 O b. About $6.87 O c. About $12.87 O d. About $3.87 O e. About $1.87 Determine all the number(s) c which satisfy the conclusion of Mean Value Theorem for h(z) = 423 - 822 + 72 - 2 on the interval [2, 5]. Select one: O a. 2+v79 O b. 2+v-79 O c. 3+v79 O d. 3-V79 3 Oe. 2+197 Determine all the number(s) c which satisfy the conclusion of Rolles Theorem for f (a) = x2 - 2x - 8 on [-1, 3] Select one: O a. 1, 2 O b. 0, 1 O c. 1 O d. 2.5 Oe. 0Suppose a snowball melts and its surface area decreases at the rate of 1 cm / min, find the rate at which the diameter decreases when it reaches 10 cm. [Hint: surface area of a sphere is 472. Select one: O a. Ob. -1 107 O c. -1 307 O d. =1 O e. None of theseBelow is the graph of a function y = x). Identify all the relative extrema and absolute extrema of the function. J' Absolute Max {4,5}; Absolute Min [2,6}; Relative Max's(1,2) and {4,5}; Relative Mini's (3,2) and {2,6} . Absolute Max (4,5}; Absolute Min [2,6]; Relative Max's (1,2) and [4,5]; Relative Mini's (3,2) and [2,6} Absolute Max {4,5}; Absolute Min [2,6}; Relative Max's(1,2) and {4,5}; Relative Mini's (3,2) and {2,6} . Absolute Max (4,5]; Absolute Min (2,6]; Relative Max's [1,2} and (4,5); Relative Mini's (3,2} and (2,6} Absolute Max (4,5); Absolute Min [2,6}; Relative Max's (1,2] and [4,5]; Relative Mini's (3,2) and (2,6}