Practice 2.PDF

Practice 2.PDF - Exam Name MULTIPLE CHOICE Choose the one...

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Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the quest Find the derivative. 1) y = 2 - 8x 3 1) A) - 16x 2 B) - 24x 2 C) - 24x D) 2 - 24x 2 2) y = 2x 4 + 4x 3 + 8 2) 3) y = 3x 2 + 12x + 5x - 3 3) 4) w = z - 2 - 1 z 4) 5) r = 4 s 3 - 5 s 5) A) - 12 s 2 + 5 s 2 B) 12 s 4 - 5 s 2 C) - 12 s 4 + 5 s 2 D) 4 s 4 - 5 s 2 The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seco 6) s = 5t 2 + 4t + 8, 0 t 2 Find the body's displacement and average velocity for the given time interval. 6) A) 18 m, 24 m/sec B) 28 m, 28 m/sec C) 28 m, 14 m/sec D) 44 m, 22 m/sec 7) s = 4t 2 + 3t + 5, 0 t 2 Find the body's speed and acceleration at the end of the time interval. 7) A) 19 m/sec, 16 m/sec 2 B) 19 m/sec, 8 m/sec 2 C) 11 m/sec, 2 m/sec 2 D) 24 m/sec, 8 m/sec 2 Find the second derivative. 8) y = 8x 2 + 8x - 4 8) 9) y = 8x 4 - 4x 2 + 8 9) 1

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10) w = z - 3 - 1 z 10) 11) y = 1 5x 2 + 1 3x 11) A) 6 5x 4 - 2 3x 3 B) - 2 5x 4 + 1 3x 3 C) 6 5x 4 + 2 3x 3 D) - 2 5x 3 - 1 3x 2 Find y . 12)y = (5x - 5)(5x + 1) 12) 13) y = (3x 3 + 8)(3x 7 - 4) 13) 14) y = x + 1 x x - 1 x 14) Find the derivative of the function. 15) y = x 3 x - 1 15) A) y = 2x 3 + 3x 2 (x - 1) 2 B) y = 2x 3 - 3x 2 (x - 1) 2 C) y = - 2x 3 + 3x 2 (x - 1) 2 D) y = - 2x 3 - 3x 2 (x - 1) 2 16) g(x) = x 2 + 5 x 2 + 6x 16) 17) f(t) = (4 - t)(4 + t 3 ) - 1 17) A) f (t) = 2t 3 - 12t 2 - 4 4 + t 3 B) f (t) = - 4t 3 + 12t 2 - 4 (4 + t 3 ) 2 C) f (t) = - 2t 3 + 12t 2 - 4 (4 + t 3 ) 2 D) f (t) = 2t 3 - 12t 2 - 4 (4 + t 3 ) 2 2
18) y = 8e - x 18) 19) y = x 6 e - x 19) 20) s = t 8 + 3t + 4 t 2 20) A) ds dt = t 5 - 3 t 2 - 4 t 3 B) ds dt = 8t 10 + 9t 2 + 8t C) ds dt = 6t 5 - 3 t 2 - 8 t 3 D) ds dt = 6t 5 + 3 t 2 + 8 t 3 21) z = 2x 2 e x 21) Find the second derivative of the function.

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• Fall '11
• Staff
• Derivative, Trigraph, Logarithm

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