Determine if the given polar coordinates represent the same point.(4, ?/2), (-4, 3?/2)
A. Yes
B. No
Answer: A
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Determine whether the given function satisfies a Laplace equation.f(x, y, z) = 3x + 6y3z2
A. Yes B. No
Describe the graph of the polar equation.r2 = 24r cos ?
A. Circle of radius 12 and center (12, 0) B. Vertical line passing through (24, 0) C. Circle of radius 12 and center (0, 12) D. Horizontal line passing through (0, 24)
Use the figure showing isotherms for the United States to answer the question. If you were in Chicago and wanted to drive to cooler weather as quickly as possible, in which direction would you drive?
A. Northwest B. West C. Southwest D. East
Find a vector function that represents the curve of intersection of the two surfaces: the top half of the ellipsoid x²+5y²+5z²=25 and the parabolic cylinder y=x².