Quiz2Solution - Quiz 2 MAC1105 (15 points) Name: SOLUTION 2...

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Unformatted text preview: Quiz 2 MAC1105 (15 points) Name: SOLUTION 2 pages 1. Simplify the following unions and intersections of intervals (1 point each) a) (−∞, 7] ∪ (0, ∞) Answer: (−∞, ∞) b) [2, 5] ∩ [3, 4] Answer: [3, 4] c) N ∩ Z ∩ R Answer: Let's do this in two parts: We rst determine that N ∩ Z = N Now use that fact to say that N ∩ Z ∩ R = N ∩ R = N 2. Translate the following directions into an arithmetic expression (3 points) Begin with x add 4 raise the result to the 5th power multiply by -17 and take the square root of the result. Answer: 5 (x + 4) (−17) 3. Simplify each of the following, writing your answer with ONLY POSITIVE exponents. (1.5 points each) a) −1 3257870 (x−4 y 2 ) y 5 x−6 Answer: −1 3257870 (x−4 y 2 ) y 5 x−6 −1 3257870 (x−4 y 2 ) y 5 x−6 −1 3257870 (x−4 y 2 ) y 5 x−6 −1 3257870 (x−4 y 2 ) y 5 x−6 −1 3257870 (x−4 y 2 ) y 5 x−6 −2 −2 = 1 x−4 −1 y2 −2 = x4 x6 y −2 y −5 −2 = x10 y −7 −1 y −5 x6 −2 −2 −2 −2 = x−20 y 14 −2 = y 14 x20 b) (8m2 − (3n)3 )(m−5 ) Answer: (8m2 − (3n)3 )(m−5 ) = 8m2 m−5 − 27n3 m−5 3 (8m2 − (3n)3 )(m−5 ) = 8m−2 − 27n m5 3 8 (8m2 − (3n)3 )(m−5 ) = m2 − 27n m5 1 4. The mass of a carbon atom is 0.00000000000000000000019942 grams. Write this mass in scientic notation (3 points) Answer: 1.9942 10−22 5. How would you go about calculating the VOLUME of a cylinder whose top and bottom have radius r and height h. Write your nal answer as a formula. (3 points). Note: the area of a circle is πr2 , and the circumference is 2πr Answer: V = πr2 h 2 ...
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Quiz2Solution - Quiz 2 MAC1105 (15 points) Name: SOLUTION 2...

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