MATH 19 Midterm: MATH 19 Exam 1 Winter 2013

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9 Jan 2019
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This is a closed book and closed notes exam. Calculators and any electronic aid are not allowed. For each problem, you should write down all of your work carefully and legibly to receive full credit. When asked to justify your answer, you should use theorems and/or mathematical reasoning to support your answer, as appropriate. I understand and accept the provisions of the stanford honor code. Problem 1 : (24 points: [section 1. 5 # 4] simplify: x2n x3n 1 xn+2, simplify: 2: [hw 1 trig problem # 4] find the exact value: sin2( /8), [section 1. 6 # 37] find the exact value: log2 6 log2 15 + log2 20. 3: [section 1. 5 # 23] if f (x) = 5x, simplify the expression f (x + h) f (x) h, [section 3. 6 # 7] find the exact value: sin(2 tan 1 2). Express the volume v of the box as a function of x.