Convert the given equation to a rectangular equation.r = 

A. 16x2 - 9y2 + 80y - 64 = 0
B. 9x2 - 16y2 + 80y - 64 = 0
C. 16x2 - 25y2 + 80y - 64 = 0
D. 16x2 + 9y2 - 80y - 64 = 0


Answer: A

Mathematics

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Solve the problem.Let f(x,y) = ln (x2 + y2). Which one of the following curves is a simple closed path in the domain of the function f?

A. The unit circle (x - 5)2 + y2 = 1
B. The ellipse  +   = 1
C. The rectangle with vertices at (-3, 2), (3, 2), (3, -2), and (-3, -2)
D. The unit circle x2 + y2 = 1

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Simplify.9(-4) + (3 - 5)2

A. -20 B. 40 C. -32 D. 1156

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Rewrite the following as a product of trigonometric functions.sin 3° + sin 37°

A. 2 cos 20° cos(-17°) B. 2 cos 20° sin(-17°) C. 2 sin 20° cos(-17°) D. 2 sin 20° sin(-17°)

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Use the intermediate value theorem to show that the polynomial has a real zero between the given values of a and b.a = 1 and b = 2f(x) = 2x3 - 4x - 1

A. f(1) = 3 and f(2) = 7 B. f(1) = -3 and f(2) = 7 C. f(1) = 3 and f(2) = -7 D. f(1) = -2 and f(2) = 8

Mathematics