The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 
for r(t) = (5t - 4t3)i + 2tan(3t)j + e4tk
A. a
= 2?i + 72j + 16e1/3?k
B. a
= - 2?i + 72j + 16e1/3?k
C. a
= - 2?i - 72j + 16e1/3?k
D. a
= - 2?i - 72j + 16k
Answer: B
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Find the area. Use 3.14 for ? as necessary.
A. 1384.74 in.2 B. 346.185 in.2 C. 65.94 in.2 D. 131.88 in.2
Suppose that the average adult in the United States will work x number of days (rounded to the nearest day) to earn enough to pay for all of the household's leisure activities in that year. This number can be calculated by multiplying the average percent of household income spent on leisure activities by 365 (the number of days in a year). The bar graph shows the percent of income spent in various countries of the world. Use the graph to answer the question.
In which country is the lowest percent of income spent on leisure activities? What percent is this?
A. Australia; 7.3% B. China; 94.6% C. China; 5.4% D. USA; 72.7%
Solve the problem.The function I(t) = 40 sin 
represents the amperes of current produced by an electric generator as a function of time t, where t is measured in seconds. Find the smallest value of t for which the current is 20 amperes. Round your answer to three decimal places, if necessary.
A. 0.008 B. 0.017 C. 0.011 D. 0.033
The graph of a quadratic function is given. Find the standard form of the function
A. f(x) = (x + 2)2 - 1 B. f(x) = -(x - 2)2 - 1 C. f(x) = (x - 2)2 - 1 D. f(x) = (x - 2)2 + 1