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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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- Fall '08
- Calculus, Limit, English-language films, Limit of a function, following function, Joe Mitchell