Write an equation for the function that is described by the given characteristics.
?
A cosine curve with a period of 4?, an amplitude of 7, a right phase shift of
, and a vertical translation up 2 units.
?
A.
B.
C.
D.
E.
Answer: A
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Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(2) = 9, u '(2) = 2, v(2) = -3, v '(2) = -4.
at x = 2
A. -
B. - 10
C.
D.
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.5x2 - 6xy + 5y2 - 8 = 0
A. ? = 45° - y'2 = 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±2, 0)
B. ? = 45°
y'2 = -4x'
parabola
vertex at (0, 0)
focus at (-1, 0)
C. ? = 45° + y'2 = 1
ellipse
center at (0, 0)
major axis is the x'-axis
vertices at (±2, 0)
D. ? = 45°
x'2 = -4y'
parabola
vertex at (0, 0)
focus at (0, -1)
Factor the sum or difference of two cubes completely.125a3 - 27b3
A. (5a + 3b2)(25a2 - 15ab + 9b2) B. (5a - 3b)(25a2 + 15ab + 9b2) C. (5a - 3b)(25a2 + 9b2) D. (125a - 3b)(a2 + 15ab + 9b2)
Determine whether the first number is divisible by the second number.29; 8
A. Yes B. No