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practice-quiz3

practice-quiz3 - (c Sketch a plot of y x 6 For what values...

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AMS 151 (Fall, 2009) Joe Mitchell Applied Calculus I Practice Problems for Quiz # 3 1. Evaluate the following expressions: (a). cos(tan - 1 ( 5 9 )) = (b). tan(sin - 1 ( 3 2 )) = (c). sin( 20 π 3 ) = (d). sec(cos - 1 ( 2 3 )) = 2. The intensity of radiation, I , oscillates sinusoidally between a low of 100 and a high of 1200. The time between one peak and the next peak is 5 minutes. At time 30 seconds after noon today, the radiation level is measured to be 650, and it is rising. Write the function I ( t ) for intensity as a function of t , the number of seconds after noon today. 3. Find the asymptotes for the following function: y = 2 x 2 + 11 x + 6 x + 18 (a). Vertical: (b). Horizontal: (c). Sketch a plot of y ( x ) 4. Find the asymptotes for the following function: y = x 2 - x + 6 x 3 - 1 (a). Vertical: (b). Horizontal: (c). Sketch a plot of y ( x ) 5. Find the asymptotes for the following function: y = x 2 - x + 1 x 2 - 4 (a). Vertical: (b). Horizontal:
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Unformatted text preview: (c). Sketch a plot of y ( x ) 6. For what values of the constants b and c is the function f continuous on (-∞ , ∞ ), where f ( x ) = cx + b if x ∈ (-∞ , 2] b + x if x ∈ (2 , 5) cx 2 if x ∈ [5 , ∞ ) 7. The height (in meters) of a particle moving along a vertical line is given by h ( t ) = 100 t 2-50, where t is measured in seconds. (a). Find the average velocity of the particle over the time interval [2,5]. (b). Find the instantaneous velocity of the particle when t = 4. 8. Evaluate the limit lim x →-1 x 2 + 3 x + 2 x + 1 9. Let f ( x ) = b x + 4 if x ≤ -2 2 x 2 + 3 if x >-2 Sketch the plot of f ( x ) and determine the following limits, if they exist: (a). lim x →-2-f ( x ) (b). lim x →-2 + f ( x ) (c). lim x →-2 f ( x ) 2...
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practice-quiz3 - (c Sketch a plot of y x 6 For what values...

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