Find the arc length parameter along the curve from the point where t = 0 by evaluating r(t) = (etcos t)i + (etsin t)j + 5etk

A. 3et - 
B. et - 
C. et - 3
D. 3tet - 3


Answer: D

Mathematics

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Solve the problem.Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t.a = 20, v(0) = -18, s(0) = -12

A. s = 10t2 - 18t B. s = -10t2 + 18t - 12 C. s = 10t2 - 18t - 12 D. s = 20t2 - 18t - 12

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Evaluate the integral. The integral may not require integration by parts.dx

A. 3 ln + C
B.  ln + C
C. x4 sec x4 + C
D.  ln + C

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Determine the type of curve from the given information.A pool table is in the shape of a conic with the property that if a ball sitting at a focus is struck toward the rail, it will head toward the other focus after rebounding from the rail. What type of curve describes the shape of the pool table?

A. Hyperbola B. Ellipse C. Parabola D. None of the above

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Use the order of operations to evaluate each problem.72 - 4 ? 5

A. 45 B. 225 C. 29 D. 105

Mathematics