Find T, N, and B for the given space curve.r(t) = (ln(cos t) + 3)i + 10j + (1 + t )k, -?/2 < t < ?/2
A. T = (sin t)i + (cos t)k; N = (cos t)i - (sin t)k; B = -j
B. T = (-sin t)i + (cos t)k; N = (-cos t)i - (sin t)k; B = -j
C. T = (-sin t)i + (cos t)k; N = (-cos t)i - (sin t)k; B = j
D. T = (sin t)i + (cos t)k; N = (cos t)i - (sin t)k; B = j
Answer: B
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Solve the problem. A reasonable quadratic model for the population of a certain city is found to be 
where P(t) is the population (in thousands) of the city in the year that is t years since 2012. A reasonable quadratic model for the consumption of bottled water in the city is 
, where B(t) is the total amount of bottled water (in thousands of gallons) consumed by the residents of the city in the year that is t years since 2012. Let M(t) be the annual mean consumption of bottled water per person in the year that is t years since 2012. If M(t) is obtained by
finding the ratio 
, what are the units of M?
A. people per gallon
B. gallons per thousand people
C. gallons per person
D. thousands of gallons per person
Find the zero of the linear function.G(x) = - 
x - 4
A. 16 B. 1 C. -16 D. - 1
Find the integral by using integration by parts or other techniques. Round the answer to four decimal places if necessary.
A. - 
(7x2 + 3)-4 + C
B. - 
(7x2 + 3)-6 + C
C. - 
(7x2 + 3)-6 + C
D. - 
(7x2 + 3)-4 + C
Simplify.28 + (-22) - 7 - (-56) + (-53)
A. 2 B. -4 C. -110 D. 108