fall 04 solutions

# fall 04 solutions - Solutions to the nal exam of MATH 1009,...

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Solutions to the f nal exam of MATH 1009, December 2004. PART A. MULTIPLE CHOICE QUESTIONS. Each question is worth 2 marks . A1. What is the equation of the tangent line to the curve y = x 4 + x 3 +4 x +3 at the point (1 , 9)? a) y =11 x +20 b) y =11 x 2c ) y = 11 x +20 d) y = 11 x 2 Answer: b) A2. On which interval is the function f ( x )=( 1 2 x 2 + x 1) e x increasing? a) ( 2 , 2) b) ( −∞ , 2) c) (2 , + )d ) ( 2 , + ) Answer: a) A3. On which interval is the function f ( x )= x 3 9 x 2 +12 x +23 concavedown? a) (3 , + )b ) ( 3 , 3) c) ( −∞ , 3) d) ( −∞ , + ) Answer: c) A4. What is f I ( π 4 )i f f ( x )=cos 2 x ? a) 1 b) 1c ) 1 2 d) 1 2 Answer: b) A5. Let f ( x )= w x +1 x 1 W 5 .W h a t i s f I (0)? a) 40 b) 10 c) 10 d) 40

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A6. Let a curve y = f ( x ) be given implicitly by x 3 +3 xy + y 3 =1 . Wha ti s dy dx at x =1 ,y =0? a) 2b ) 1c ) 1d ) 2 Answer c) A7. The second derivative of f ( x )=ln( x 2 +1) is a) 2(1 x 2 ) x 2 +1 b) 2 x ( x 2 +1) 2 c) 2 x x 2 +1 d) 2(1 x 2 ) ( x 2 +1) 2 Answer: d) A8. A company estimates that its daily cost function is C ( x )= x 3 6 x 2 +13 x million dollars, and its daily revenue function is R ( x )=13 x million dollars. What is the value of x that maximizes the pro f t? a )
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## This note was uploaded on 11/01/2009 for the course BUSI 1001 taught by Professor Dontknow during the Spring '08 term at Carleton CA.

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fall 04 solutions - Solutions to the nal exam of MATH 1009,...

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