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Test1

# Test1 - -9 | Find the following limits lim x → 9 f x and...

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Student’s Name: Test 1 (Sections 2.1 to 2.6) MAC2311, Section 17, Instructor: Ms. Hoa Nguyen Problem 1 If a ball is thrown into the air with a velocity of 45 ft/s, its height in feet after t seconds is given by y = 45 t - 15 t 2 . Find the instantaneous velocity when t = 1s. Problem 2 Find an equation of the tangent line to the curve y = 4 x 2 at the point (1 , 4). Problem 3 Let f ( x ) = x 2 - 81 | x
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Unformatted text preview: -9 | . Find the following limits: lim x → 9 + f ( x ) and lim x → 9-f ( x ). Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Find the horizontal and vertical asymptotes of the curve y = 9 e x e x-8 . Problem 9 Find the limit: lim x →∞ ( √ x 2 + ax-√ x 2 + bx ). Problem 10 List the cases when a function f is discontinuous at a . 1...
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