The equation gives the position s = f(t) of a body moving on a coordinate line (s in meters, t in seconds).s = 3 + 3 cos tFind the body's acceleration at time t = ?/3 sec.
A. - 
m/sec2
B. - 
m/sec2
C. 
m/sec2
D. 
m/sec2
Answer: A
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Perform the indicated operation
Find the dot product v ? w.v = i + 2j, w = 5i - j
A. -3 B. 7 C. 3 D. 0
Johnson City Cooperage manufactures 30-gallon and 55-gallon fiber drums. Each 30-gallon drum takes 30 minutes to make, each 55-gallon drum takes 40 minutes to make, and the company has at most 10,000 minutes available each week. Also, workplace limitations and product demand indicate that the number of 55-gallon drums produced plus half the number of 30-gallon drums produced should be at least 160, and the number of 30-gallon drums should be at least twice the number of 55-gallon drums. If Johnson City Cooperage's manufacturing costs are $4.4 for each 30-gallon drum and $6.9 for each 55-gallon drum, how many of each drum should be made each week to satisfy the constraints at minimum cost? Find the minimum cost. ?
A. Minimum cost of $1,243.50 when 165 30 - gallon drums and 75 55 - gallon drums are produced. B. Minimum cost of $1,256.00 when 160 30 - gallon drums and 80 55 - gallon drums are produced. C. Minimum cost of $1,390.00 when 65 30 - gallon drums and 160 55 - gallon drums are produced. D. Minimum cost of $1,421.50 when 80 30 - gallon drums and 155 55 - gallon drums are produced. E. Minimum cost of $1,281.00 when 150 30 - gallon drums and 90 55 - gallon drums are produced.
Expand.(a - b)6
A. -a6 + 6a5b - 15a4b2 + 20a3b3 - 15a2b4 + 6ab5 - b6 B. a6 + 6a5b + 15a4b2 + 20a3b3 + 15a2b4 + 6ab5 + b6 C. a6 - 6a5b - 15a4b2 - 20a3b3 - 15a2b4 - 6ab5 - b6 D. a6 - 6a5b + 15a4b2 - 20a3b3 + 15a2b4 - 6ab5 + b6