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# calc exam 2 - A 7 3 4 7-= x x y B x x x y 2 3 = C x x y cos...

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Math 211 – Test II October 21, 2005 Name:________________________ Please show all of your work. I. (5pts) Evaluate each limit for the graph ) ( x f y = and answer the following questions. ) ( x f y = -6 -4 -2 0 2 4 6 2 4 -2 = = = - - - + - ) ( lim ) ( lim ) ( lim 1 1 1 x f x f x f x x x = = = -∞ ) ( lim ) ( lim ) ( lim 3 x f x f x f x x x Is ) ( x f y = is continuous at x = 3? Is ) ( x f y = is continuous at x = -1? Is ) ( x f y = is continuous if x > 0? Is ) ( x f y = is continuous if x <-1? II. (5 pts) Find m such that the following function is continuous at all real number x. < - - + + = 2 if 4 12 4 2 if 1 2 2 x x x x x mx y III . (4 pts each) Differentiate each of the following function:

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Unformatted text preview: A. 7 3 4 7 +-= x x y B. x x x y 2 3-+ = C. x x y cos = D. x y x sin 1 3-= E. 5 2 ) 3 ( 1 x x y-= F. ) 1 csc( 5 2-= + x x e y IV . (4 pts) Find the tangent line equation for 7 4 4 +-= x x y at 1-= x . V . (3pts each) Antidifferentiate each of the following function: A. 7 4 4 +-= x x y B. x x y cos 3 sin 2 + = VI . (3 pts each) Use the natural logarithmic function to differentiate the followings: A. 5 2 + = x x y B. 5 2 3 5 2 ) 5 ( tan 2 + =-x x x e y x...
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