Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations.x = et, y = e-t; -? < t < ?

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


Answer: A

Mathematics

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Graph the function by first writing it in the form y = A sin(x + C). State the amplitude, period, and phase shift.y = 4 sin x - 4 cos x

A. Amplitude 4, period 2?,
phase shift 
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B. Amplitude 8, period 2?,
phase shift 


C. Amplitude 8, period 2?,
phase shift 


D. Amplitude 8, period 2?,
phase shift 
- 

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Graph the equation and its tangent.Graph y = 5x2 and the tangent to the curve at the point whose x-coordinate is -2.

A.

B.

C.

D.

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Use the laws of exponents to simplify each expression using positive exponents only. Assume all variables represent nonzero real numbers.(15b)0

A. b B. 15 C. 0 D. 1

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Solve the equation. Express irrational answers in exact form and as a decimal rounded to 3 decimal places.ln x + ln (x + 6) = 2

A. -6 +  ? 2.097
B.  ? -7.048
C.  ? 1.048
D.  ? 3.587

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