University:
Boston University
Course:
CAS MA 123 | Calculus I
Academic year:

2021
Views:

154

Pages:

7
Author:

esfredint7qo

Question 1 Answer saved Marked out of 1.00 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? Select one: a. Square of size 4-inch by 4-inch b. Square of size 3-inch by 3-inch c. Square of size 1/3 -inch by 1/3 -inch d. Square of size 5/3 -inch by 5/3 -inch Question 2 Answer saved Marked out of 1.00 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 Select one: a. About $9.87 b. About $6.87 c. About $12.87 d. About $3.87 e. About $1.87 , the sides cost 5¢ per and the top costs 2¢ per Question 3 Not yet answered Marked out of 1.00 Suppose we know that is continuous and differentiable on the interval [–7,0], that is the largest possible value for and that ? Select one: a. 7 b. 10 c. 11 d. 14 e. 8 Question 4 Not yet answered Marked out of 1.00 If the base of a triangle is increasing at a rate of 3 inches per minute while its height minute, which of the following must be true about the area Select one: a. is always increasing b. is always decreasing c. is decreasing only when b < h d. is decreasing only when b >h e. remains constant of the triangle? is decreasing at a rate of 3 inches per . What Question 5 Answer saved Marked out of 1.00 The graph of a function is given. Choose the answer that represents the graph of its derivative. Select one: a. b. c. d. e. None of these Question 6 Answer saved Marked out of 1.00 Note the function below. Find all of the relative extrema and absolute extrema of the function. Select one: a. Absolute Max (6,- 8); Absolute Min (9,6); Relative Max’s (1,3) and (6,8); Relative Mini’s (–2,–1) and (2,–4) b. Absolute Max (-6,8); Absolute Min (9,–6); Relative Max’s (1,3) and (6,8); Relative Mini’s (–2,–1) and (2,4) c. Absolute Max (-6,8); Absolute Min (9,–6); Relative Max’s (1,3) and (6,8); Relative Mini’s (–2,–1) and (2,–4) d. Absolute Max (6,8); Absolute Min (9,–6); Relative Max’s (1,3) and (6,8); Relative Mini’s (–2,–1) and (2,–4) e. Absolute Max (6,8); Absolute Min (9,6); Relative Max’s (-1,3) and (-6,8); Relative Mini’s (–2,–1) and (2,–4) Question 7 Answer saved Marked out of 1.00 The graph of a function is given. Choose the answer that represents the graph of its derivative. Select one: a. b. c. d. e. None of these Question 8 Answer saved Marked out of 1.00 Suppose a snowball melts and its surface area decreases at the rate of decreases when it reaches 10 cm. [Hint: surface area of a sphere is , find the rate at which the diameter . Select one: a. b. c. d. e. None of these Question 9 Answer saved Marked out of 1.00 Determine all the number(s) c which satisfy the conclusion of Rolles Theorem for Select one: a. 1, 2 b. 0, 1 c. 1 d. 2.5 e. 0 on Question 10 Answer saved Marked out of 1.00 Determine all the number(s) c which satisfy the conclusion of Mean Value Theorem for interval [2, 5]. Select one: a. b. c. d. e. on the