calc2_f17_e1_sol_print.pdf - MATH 2242(Dr Ngai Calculus II...

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MATH 2242 (Dr. Ngai) Calculus II Fall 2017 Exam 1 September 22, 2017 NAME SCORE /31= /100 INSTRUCTIONS: 1. Show ALL your work in the space provided. 2. Use the indicated method(s) for each problem; other methods may receive NO credit. 3. Calculators CANNOT be used. 4. This exam covers Sections 7.1–7.5. Part A. (21+2 pts) Multiple Choice. 1. Show All your work in order to receive partial credit (maximum of 2 points for each question) when your answer is wrong. 2. Write down your answer to each question at the end of this section. 3. Each question carries 3 points. 1. Let f ( x ) = x 3 + 2 x - 2. Evaluate ( f - 1 ) 0 ( - 2), given that - 2 = f (0). 2. Evaluate Z e x 5 + e x dx . 1
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2 3. If y = 9 r x + 2 x + 3 , find dy dx by logarithmic differentiation . 4. Let y = e csc x . Find dy dx . 5. Evaluate Z e sin x cos xdx .
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3 A) 9 x 2 B) 2 x 2 3 x - 1 C) 3 x - 1 x 2 (9 +
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