Find the curvature of the curve r(t).r(t) = (3 + ln(sec t))i + (9 + t)k, -?/2 < t < ?/2

A. ? = 1 - cos t
B. ? = cos t
C. ? = sin t
D. ? = -cos t


Answer: B

Mathematics

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A.
B.
C.
D.
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Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola. -  = 1

A. center at (3, -2)
transverse axis is parallel to x-axis
 vertices at (-2, -2) and (8, -2)
foci at (3 - , -2) and (3 + , -2)
asymptotes of y + 2 = - (x - 3) and y + 2 = (x - 3)
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transverse axis is parallel to x-axis
vertices at (0, -2) and (6, -2)
foci at (3 - , -2) and (3 + , -2)
asymptotes of y + 2 = - (x - 3) and y + 2 = (x - 3)
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transverse axis is parallel to x-axis
vertices at (-7, 3) and (3, 3)
foci at (-2 - , 3) and (-2 + , 3)
asymptotes of y - 3 = - (x + 2) and y - 3 = (x + 2)
D. center at (3, -2)
transverse axis is parallel to y-axis
vertices at (3, -7) and (3, 3)
foci at (3, -2 - ) and (3, -2 + )
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Mathematics