Rewrite using the power and product rules. Assume all variables represent positive real numbers.ln x4y5z2

A. 4ln x - 5ln y - 2ln z
B. 4ln x + 5ln y + 2ln z
C. ln 4x + ln 5y + ln 2z
D. ln  + ln  + ln 


Answer: B

Mathematics

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Graph the plane curve given by the parametric equations. Then find the equivalent rectangular equation.x = t3 + 1, y = t3 - 15; -2 ? t ? 2

A. y = - x2; -4 ? x ? 4

B. y = x - 16; -7 ? x ? 9

C. y = x3; -3 ? x ? 1

D. y = - x - 16; -7 ? x ? 9

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Factor completely.x4 + x3y - 27x - 27y

A. (x + 3)(x2 - 3x + 9)(x - y) B. (x + 3)(x2 - 3x + 9)(x + y) C. (x - 3)(x2 + 3x + 9)(x + y) D. (x - 27)(x3 + x + y)

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Find the slope of the line.

A. 1 B. 4 C. -1 D. -4

Mathematics

Find the exact value of the expression if ? = 45°. Do not use a calculator.g(?) = sin ?Find 4g(?).

A. -2
B. 2
C. 4
D. -4

Mathematics