Find a rectangular equation equivalent to the given pair of parametric equations.x = 2 cos t, y = 3 sec t; -  < t < 

A. y = 6x; 0 < x ? 2
B. y = ; 0 < x ? 2
C. y = 4x; 0 < x ? 2
D. y = ; 0 < x < 2


Answer: D

Mathematics

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Find the area of the shaded region. Round results to the nearest unit.

A. 28 m2 B. 14 m2 C. 7 m2 D. Not enough information given

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Find the flux of the vector field F across the surface S in the indicated direction.F = xzi + yzj + k , S is the cap cut from the sphere x2 + y2 + z2 = 16 by the plane  direction is outward

A. ?
B. 255?
C. - ?
D. ?

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The vertex of a parabola occurs where the derivative of its equation is 0, so an equation associated with the equation of a parabola can be solved to find the x-coordinate of the vertex. Find the vertex of the parabola, given the equation of the parabola and its associated equation.Equation of parabola: f(x) = 8x2 + 32x - 12; associated equation: 0 = 16x + 32

A. (2, -44) B. (2, 84) C. (-2, 84) D. (-2, -44)

Mathematics

Graph the inequality.x2 + y2 > 49

A.

B.

C.

D.

Mathematics