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Unformatted text preview: Create assignment, 59515, Practice 3, Nov 29 at 12:44 pm 1 This printout should have 35 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. The due time is Central time. CalC4e12b 50:06, calculus3, multiple choice, > 1 min, normal. 001 Which of the following is the graph of f ( x ) = x 2 x 2 16 ? Dashed lines indicate asymptotes. 1. 2 4 2 4 2 4 2 4 2. 2 4 2 4 2 4 2 4 3. 2 4 2 4 2 4 2 4 4. 2 4 2 4 2 4 2 4 5. 2 4 2 4 2 4 2 4 6. 2 4 2 4 2 4 2 4 Create assignment, 59515, Practice 3, Nov 29 at 12:44 pm 2 CalC4e20a 50:06, calculus3, multiple choice, < 1 min, wordingvariable. 002 If f is a continuous function on ( 4 , 4) such that (i) f has 3 critical points, (ii) f has 1 local maximum, (iii) f 00 ( x ) > 0 on ( 4 , 2), (iv) f 00 ( x ) < 0 on (0 , 2), (v) (0 , 1) is an inflection point, (vi) f ( x ) < 0 on (2 , 4), which one of the following could be the graph of f ? 1. 2 4 2 4 2 4 2. 2 4 2 4 2 4 3. 2 4 2 4 2 4 4. 2 4 2 4 2 4 5. 2 4 2 4 2 4 6. 2 4 2 4 2 4 CalC4e41c 50:06, calculus3, multiple choice, > 1 min, normal. 003 A function f is known to be continuous and twicedifferentiable for all x 6 = 3. Also its derivatives have the properties (i) f (1) = 0, (ii) f 00 < 0 on (∞ , 3) ∪ (3 , ∞ ), (iii) f 00 > 0 on ( 3 , 3). If the lines x = 3 and y = 3 are asymptotes of the graph of f , which of the following could be the graph of f ? Create assignment, 59515, Practice 3, Nov 29 at 12:44 pm 3 1. 4 8 4 4 4 2. 4 8 4 4 4 3. 4 8 4 4 4 4. 4 8 4 4 4 5. 4 8 4 4 4 CalC4g11a 50:07, calculus3, multiple choice, > 1 min, wordingvariable. 004 The canvas wind shelter is to be constructed for use on Padre Island beaches. It is to have a back, two square sides, and a top. If 384 square feet of canvas are available, find the length of the shelter for which the space inside is maximized assuming all the canvas is used. 1. none of these 2. length = 18 feet 3. length = 16 feet 4. length = 17 feet 5. length = 15 feet CalC4g21s 50:07, calculus3, multiple choice, > 1 min, wordingvariable. 005 Create assignment, 59515, Practice 3, Nov 29 at 12:44 pm 4 A rectangle is inscribed in an equilateral triangle so that one side of the rectangle lies on the base of the triangle. Find the maximum area the rectangle can have when the triangle has side length 4 inches. 1. max. area = 2 √ 3 sq. inches 2. max. area = 4 √ 3 sq. inches 3. max. area = √ 3 sq. inches 4. max. area = 2 sq. inches 5. max. area = 4 sq. inches 6. max. area = 1 sq. inch CalC4g22d 50:07, calculus3, multiple choice, > 1 min, normal....
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This note was uploaded on 03/20/2008 for the course CAL 408K taught by Professor Samuels during the Fall '08 term at University of Texas.
 Fall '08
 samuels

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