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2011c_x2b_sols

# 2011c_x2b_sols - MATH 151 FALL 2011 COMMON EXAM II VERSION...

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Unformatted text preview: MATH 151, FALL 2011 COMMON EXAM II - VERSION B Last Name : KEY First Name : Signature : Section No : PART I: Multiple Choice (15 questions, 4 points each. No Calculators) Write your name, section number, and version letter (B) of the exam on the ScanTron form. 1. Find the derivative of g ( x ) = x 3 + 1 x 2 + 1 . (a) g ′ ( x ) = x 4 + 3 x 2- 2 x ( x 2 + 1) 2 Correct choice (b) g ′ ( x ) = 5 x 4 + 3 x 2 + 2 x x 2 + 1 (c) g ′ ( x ) = x 4 + 3 x 2 + 2 x ( x 2 + 1) 2 (d) g ′ ( x ) = x 4 + 3 x 2- 2 x x 2 + 1 (e) g ′ ( x ) = 5 x 4 + 3 x 2 + 2 x ( x 2 + 1) 2 2. A ball is thrown vertically upward with a velocity of 80 feet per second and the height, s , of the ball at time t seconds is given by s ( t ) = 80 t- 16 t 2 . What is the velocity of the ball when it is 96 feet above the ground on its way up? (a) 112 ft/sec (b) 24 ft/sec (c) 16 ft/sec Correct choice (d) 48 ft/sec (e) 64 ft/sec 3. Which of the following vectors is tangent to the curve r ( t ) = (big √ t 2 + 1 , t )big at the point (2 , √ 3)? (a) (bigg 1 √ 5 , 1 )bigg (b) (bigg 1 2 , 1 )bigg (c) (Bigg √ 3 4 , 1 )Bigg (d) (bigg 2 √ 5 , 1 )bigg (e) (Bigg √ 3 2 , 1 )Bigg Correct choice 1 4. Find the 81 st derivative of f ( x ) = 1 x . (a) f (81) ( x ) =- (81)! x 81 (b) f (81) ( x ) = (80)! x 80 (c) f (81) ( x ) =- (81)! x 82 Correct choice (d) f (81) ( x ) =- (80)! x 80 (e) f (81) ( x ) = (81)! x 81 5. lim x →−∞ (9- 7 e − x ) = (a)-∞ Correct choice (b) 0 (c) ∞ (d) 7 (e) 9 6. At what point on the graph of f ( x ) = √ x is the tangent line parallel to the line 2 x- 3 y = 4?...
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2011c_x2b_sols - MATH 151 FALL 2011 COMMON EXAM II VERSION...

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