This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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 ...
View
Full
Document
 Fall '10
 Picklesimer
 Algebra

Click to edit the document details