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Unformatted text preview: 1 MATHA116, Survey of Calculus, Quiz #1 Solutions Updated on September 11, 2006 Gethelpwheneverindoubt! c [email protected] D irection. III1. Please read each of the following questions carefully. Show your work as much as possible. No partial credit will be given without proper work shown. Write your answer above the Answer line. Use the back of each page should more space be needed. N Important: Direction. Q uestion III1. ( 20 points ) Evaluate the expression ‡ 9 3 · 9 5 9 2 · 1 / 2 . W ork III1. Using the laws of exponents, 9 3 · 9 5 9 2 ¶ 1 / 2 = 9 3+5 9 2 ¶ 1 / 2 = 9 2 9 2 ¶ 1 / 2 = ‡ 9 2 ( 2) · 1 / 2 (1) = ( 9 4 ) 1 / 2 = 9 4 × ( 1 / 2) = 9 2 = 1 81 (2) The answer is ‡ 9 3 · 9 5 9 2 · 1 / 2 = 1 81 . Q uestion III2. ( 20 points ) Rewrite the expression  2 √ 3 3    √ 3 4  without using absolute value signs, and simplify. W ork III2. Notice that 2 √ 3 = √ 4 · √ 3 = √ 12, which is greater than √ 9 = 3. Therefore, 2 √ 3 3 is positive. That is,3 is positive....
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