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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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 Fall '10
 Picklesimer
 Algebra, Atom, Expression, −1

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