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Unformatted text preview: Review – Unit I
Rewrite without absolute value symbol: Simplify:
3
625 x −3 y 4
3 5 x −7 y 5 −2 − π − 4 Use absolute value notation to describe:
y is at most 2 units from a Multiply:
(2 x − y )3 (2 x + y )3
Simplify:
−1
3c −1 ⎛ 3c ⎞
⎜⎟
2 ⎝4⎠ I II Simplify:
2
2
1
1
−
1 −3
2
x ( x + 1) 3 + x 3 ( x + 1) 3
3
3 Verify that ( x − 2) is a factor of x5 − 32 . Solve:
1
2
+2
=0
3x + 1 9 x − 1
3x 2 x 2 + 1 − x3 x
x2 + 1 x2 + 1 III IV How much pure acid should be added to 5 gal. of a
40% acid solution to obtain a 50% acid solution? Perform the indicated operations:
2 Mixture:
Original
Added
New Total % acid Total acid ⎛3
3⎞
−i ⎟ =
⎜
2⎠
⎝2 4 − 5i
1 − 3i Solve: 3 x( x − 2) = −2 i 249 V VI During the boat race the contestants travel 24 miles
upstream and 24 miles downstream. The winning boat
can travel 10 mi/hr in still water and takes one hour
longer to make the upstream trip than downstream trip.
What is the speed of the current? 2 Solve: ( x − 3) 3 = 25 2 1 Solve: 4 x 3 − 3x 3 = 1 VII VIII Solve: Solve: 2 − 3 x ≥ 4 x + 6 − x +1 = 1 Solve: IX 1
> 25
x−3 X ...
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This note was uploaded on 11/07/2011 for the course MAC 1147 taught by Professor German during the Summer '08 term at University of Florida.
 Summer '08
 GERMAN
 Calculus

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