Find the arc length parameter along the curve from the point where t = 0 by evaluating
r(t) = (2cos t)i + (2sin t)j + 5tk
A. t
B. t
C. t
D. 3t
Answer: B
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Solve the problem.A power plant is located on a river that is 650 feet wide. To lay a new cable from the plant to a location in a city 1 mile downstream on the opposite side costs $225 per foot across the river and $150 per foot along the land. Suppose that the cable goes from the plant to a point Q on the opposite side that is x feet from the point P directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the
A. C(x) = 225 + 150(5280 - x)
B. C(x) = 225(650 - x) + 150(1 - x)
C. C(x) = 225 + 150(1 - x)
D. C(x) = 150 + 225(5280 - x)
Find the axis of symmetry of the given function.y = -2x2 + 4x + 0
A. x = -2 B. x = 2 C. x = 1 D. x = -1
Identify the intercepts.
A. (2, 0), (0, -6) B. (2, 0), (0, 6) C. (-6, 0), (0, 6) D. (-2, 0), (0, -6)
Solve the differential equation using the method of variation of parameters. Select the correct answer.