Find a rectangular equation for the plane curve defined by the parametric equations.x = 3 tan t, y = 4 sec t; 0 ? t ? 2?
A. y = x2 - 9; for x in -3 ? x ? 3
B. +
= 1; for x in -? < x < ?
C. -
= 1; for x in -? < x < ?
D. y = 4; for x in -? < x < ?
Answer: C
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Find the domain and range of the function.g(z) = -4 -
A. D: [0, ?), R: (-?, -4] B. D: (-?, ?), R: (-?, -4] C. D: (-?, -4], R: (-?, ?) D. D: (-?, 0], R: [-4, ?)
Let z vary jointly with x and y. Find the constant of variation k. Then, use to find z when x = 5 and y = 7.z = 56 when x =
and y = 7
A. k = 15; z = 490 B. k = 14; z = 525 C. k = 48; z = 1,680 D. k = 56; z = 1,960
Decide whether the relation is a function.{(-9, 3), (-9, 5), (-1, 4), (5, -3), (10, 7)}
A. Function B. Not a function
Use the properties of logarithms to write the expression as the logarithm of a single expression.logbm + 2logbk - logbn
A. loga
B. logb
C. logb mk2n
D. logb