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If the base b of a triangle is increasing at a rate of 3 inches per minute while its height h is decreasing at a rate of 3 inches per minute, which of the following must be true about the area A of the triangle? Select one: C) a. A is always increasing 0 b. A is always decreasing O c. A is decreasing only when b h 0 e. A remains constant Below is the graph of a function y = f (1?) Identify all the relative extrema and absolute extrema of the function. Select one: 0 a. Absolute Max (4,5) ; Absolute Min (2,6); Relative Max's (1,2) and (4,5); Relative Mini's (3,2) and (2,6) O b. Absolute Max (4,5); Absolute Min (2,6); Relative Max's (1,2) and (4,5); Relative Mini's (3,2) and (2,6) O (3. Absolute Max (4,5); Absolute Min (2,6); Relative Max's (1,2) and (4,5); Relative Mini's (3,2) and (2,6) 0 d. 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) Determine all the number(s) c which satisfy the conclusion of Mean Value Theorem for h(z) = 433 832 + 73 2 on the interval [2, 5]. Select one: C) 2+ 79 a 3 O b 2+ 79 3 O c 3+ 79 3 O . 3 79 d 3 0 e 2+ 97 OD The company has a large supply of 8-inch by 15-inch rectangular pieces of cardboards, and they make boxes by cutting a square from each corner and folding up the sides (see below). What size square should be cut from each corner to make boxes of largest volume? 15 8 8-2x X 15-2x Select one: O a. Square of size 4-inch by 4-inch O b. Square of size 3-inch by 3-inch O c. Square of size 1/3 -inch by 1/3 -inch O d. Square of size 5/3 -inch by 5/3 -inchThe graph of a function is given. Choose the answer that represents the graph of its derivative. Select one: 0 a. Y -IS 40 -5 5 10 I5 '