Find T, N, and B for the given space curve.r(t) = (ln(cos t) + 2)i + 10j + (3 + 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: C
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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = ln (x2 + y2)i + tan-1 
j; C is the region defined by the polar coordinate inequalities 1 ? r ? 8 and 
A. 0 B. 65 C. -14 D. 126
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number.15
- 3
A. 12
B. 18
C. 121
D. 12
Use a graphing calculator to graph the function using the given viewing window. Use the graph to decide if the function is one-to-one. If the function is one-to-one, give the equation of the inverse function.f(x) = x4 - 6x2 + 5; [-3, 3] by [-40, 40]
A. one-to-one; f-1(x) = 
B. one-to-one; f-1(x) = 
C. one-to-one; f-1(x) =
+ 6x2
D. not one-to-one
Graph the solution region for the system of inequalities and identify the corners of the region.
A. 
B. 
C. 
D. 