FINAL REVIEW A(1).pdf - FINAL REVIEW A(MAT132 For what value(s of k does the circle x 2k y 3k)2 10 passes through the point(1,0 Find the equation for

FINAL REVIEW A(1).pdf - FINAL REVIEW A(MAT132 For what...

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mat132 final review A 1 FINAL REVIEW A (MAT132) 1. a) For what value(s) of k does the circle 10 ) 3 ( 2 2 2 k y k x passes through the point (1,0). b) Find the equation for the circle with the center at the mid-point of A(x,3) and B 1 , 1 and the radius 3 given that the distance between AB is 2 2. Solve the following a) 2 1 1 x x b) 2 1 3 x x c) 4 1 x x 3. Suppose that f(x) = 1 3 sin ) 3 ( 1 2 x x x x c x x Find the value of c such that it makes the function continous at x = 1 4. Given 3 ) ( x x f and x x g 1 1 ) ( . Find a) ) )( ( x g f b) ) )( ( x f g c) Domain of a) & b) 5. Determine whether each of the following functions is odd, even or neither a) x x x x f 1 3 4 ) ( 3 b) 2 ) ( x x g c) x x x h 3 3 sin cos ) ( 6. Comment on the existence for each of the following limits. a) 5 9 100 lim x x x b) 3 1 cos 2 lim 3 c)   x x x 3 lim d) 2
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