math_112_test_2_winter_2011

# math_112_test_2_winter_2011 - Math 112 Winter 2011 Exam 2...

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Unformatted text preview: Math 112, Winter 2011, Exam 2, SOLUTIONS Multiple Choice. 1. Suppose F ( x ) = f ( g ( x )), where f (2) = 2, g (2) = 5, f ′ (2) = 4, f ′ (5) = 8 and g ′ (2) = 3. Find F ′ (2). a) b) 12 c) 8 d) 18 e) 24 f) None of the above. Answer: e 2. Find dy dx for x 3 + y 2 = 2 x . a) 2 + 3 x 2 2 y b) 2 + 3 x 2- 2 y c) 2- 3 x 2- 2 y d) 2- 3 x 2 2 y e) None of the above Answer: d 3. Evaluate lim θ → tan( θ ) θ a) b) 1 c) tan( θ ) d) ∞ e) Does not exist f) None of the above. Answer: b 4. The position of a particle at time t is described by the equation s ( t ) = t 3- 3 t , where s is in meters and t is in seconds. Find the velocity after 2 seconds. a) 2 m/s b) 12 m/s c) 9 m/s d) 3 m/s e) 18 m/s f) 1 m/s g) 0 m/s Answer: c 5. If each side of a square is increasing at a rate of 5 m/s, how fast is the area of the square increasing when a side is 3 m? a) 10 m 2 / s b) 30 m 2 / s c) 15 m 2 / s d) 75 m 2 / s e) 3 m 2 / s f) 45 m 2 / s g) Impossible to determine. h) None of the above. Answer: b TURN PAGE OVER 6. If f ( x ) = log 5 ( x ), evaluate f ′ (1)....
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## This note was uploaded on 02/09/2012 for the course MATH 112 taught by Professor Jarvis during the Winter '08 term at BYU.

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math_112_test_2_winter_2011 - Math 112 Winter 2011 Exam 2...

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