Find the unit tangent vector of the given curve.r(t) = 
i + 
j - 12tk
A. T = 
i + 
j - 
k
B. T = 
i + 
j - 
k
C. T = 
i + 
j - 
k
D. T = 
i + 
j - 
k
Answer: D
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Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.log2
A. 8 log2x + 7 log2y + log25 B. (8 log2x)(7 log2y) - log25 C. 8 log2x - 7 log2y - log25 D. 8 log2x + 7 log2y - log25
Simplify the complex fraction.
A. 
B. 
C. 
D. 
Factor the expression, if the trinomial is a perfect square. If it is not a perfect square, write "not a perfect square."x2 - 12x + 144
A. (x + 12)(x - 12) B. not a perfect square C. (x + 12)2 D. (x - 12)2
Solve.A company has 63,000 employees. Of these, 
drive alone to work, 
car pool, 
use public transportation, 
cycle, and the remainder use other methods of transportation. How many employees use each method of transportation?
A. Drive alone: 2,100; car pool: 10,500; public transportation: 9,000; cycle: 7,000; 
B. Drive alone: 21,000; car pool: 10,500; public transportation: 9,000; cycle: 7,000; 
C. Drive alone: 21,100; car pool: 10,500; public transportation: 8,900; cycle: 7,000; other: 1000
D. Drive alone: 21,000; car pool: 10,500; public transportation: 9,000; cycle: 7,000; 