Find the unit tangent vector T and the principal unit normal vector N. r(t) = (t2 - 8)i + (2t - 8)j + 7k
A. T = i +
j; N =
i +
j
B. T = i +
j; N =
i -
j
C. T = i -
j; N = -
i -
j
D. T = i +
j; N =
i -
j
Answer: B
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Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at x = ?/6 to x = ?/2. The cross sections perpendicular to the x-axis are circular disks with diameters running from the curve to the curve
A. (2 - 2) ? -
B. ( - 1) ? +
C. -
D. -
Solve the given trigonometric equation by use of a graphing calculator. Use values of x for 0 ? x < 2?.sin x + sin 3x = -cos x
A. 1.57, 1.83, 2.88, 4.71, 6.02 B. 0.26, 1.31, 1.57, 3.40, 4.45, 4.71 C. 1.57, 1.83, 2.88, 4.71, 4.97, 6.02 D. 2.18, 5.32
Determine if a correlation exists at the indicated level of significance.?? = 0.05
A. Correlation does not exist. B. Correlation exists.
Divide. Write the answer in lowest terms and as a whole or mixed number where possible.
A. 33
B. 4
C. 1
D.