Eliminate the parameter to obtain a Cartesian equation of the curve.x = et, y = e-t,  -? < t < ?

A. y = ex,  -? < x < ?
B. y = e-x,  -? < x < ?
C. y = e-ln x, 0 < x < ?
D. y = eln x, 0 < x < ?


Answer: C

Mathematics

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Provide an appropriate response.Find the value(s) of t corresponding to the extrema of f(x, y, z) = sin(x2 + y2)cos(z) subject to the constraints x2 + y2 = 3t,  and z = . Classify each extremum as a minimum or maximum. (Hint: w = f(x, y, z) is a differentiable function of t.)

A. t = , minimum; t = 0, maximum
B. t = , minimum; t = - , maximum
C. t = - , maximum
D. t = , minimum

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Solve the problem.Suppose that the odds of winning the grand prize in a raffle are 1 to 15. What is the probability of winning the grand prize?

A.
B.
C.
D.
E. none of these

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Graph the equation as a solid line. Graph the inverse relation as a dashed line on the same axes by reflecting across the line y = x.y = x2 - 6

A.

B.

C.

D.

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Find an equation for the line, in the indicated form, with the given properties. Containing the points (-9, 2) and (6, -2); general form

A. -4x - 15y = 6 B. 11x - 8y = 50 C. 4x - 15y = 6 D. -11x + 8y = 50

Mathematics