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Part A: Complete Each of the following ten questions (5 points each) 1. Evaluate: lim cos(x)-1 x 2. Evaluate: lim- t2 -t-6 t-3 t2-4t+3' 3.
Part A: Complete Each of the following ten questions (5 points each) 1. Evaluate: lim cos(x)-1 x 2. Evaluate: lim- t2 -t-6 t-3 t2-4t+3' 3. Evaluate: lim ~+- x2 - 3x+ 2 x, for xs1 4. Let f(x) = (2x + 1, forx > 1' Is f continuous at x = 1? If so, explain your answer. If not, explain why not and specify the type of discontinuity (removable, jump, infinite). 5. Find an equation of the tangent line to the curve y = cos(x) -2+sin(x) at the point (0, !). 6. If g'(x) = (x -4)(x -2)2(x + 3)3, state and classify (say whether it is a local maximum, local minimum, or neither) all critical points of g(x). 7. Find ( 3x*-x dx. X 3 8. Evaluate "-sin(x) dx. 9. Find S x4 sec2 (x5) dx. 10. Evaluate Jo 173 dr
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