For the curve r(t), find an equation for the indicated plane at the given value of t.r(t) = (3 sin
t + 8)i + (3 cos 20t) - 5)j + 12tk; osculating plane at t = 6.5?.
A. (y + 5) +
= 0
B. (y - 5) +
= 0
C. (y + 5) +
= 0
D. (x - 8) +
= 0
Answer: A
Mathematics
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A. 1.052 x 1013 B. 1.052 x 1014 C. 1.052 x 1012 D. 2.104 x 1013
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Solve the problem.Find parametric equations for an object that moves along the ellipse +
= 1 with the motion described.The motion begins at (0, 6), is clockwise, and requires 3 seconds for a complete revolution.
A. x = 4 cos (?t), y = 6 sin (
?t), 0 ? t ? 3
B. x = 4 sin (3?t), y = 6 cos (3?t), 0 ? t ? 3
C. x = 4 sin (?t), y = 6 cos (
?t), 0 ? t ? 3
D. x = 4 sin (?t), y = -6 cos (
?t), 0 ? t ? 3
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Graph the equation.x2 + y2 + 10x + 8y + 37 = 0
A.
B.
Mathematics