Find the slope and the y-intercept of the line with the given equation.y = -3x - 7
A. m = -7; y-intercept = -3
B. m = 3; y-intercept = 7
C. m = - ; y-intercept = -7
D. m = -3; y-intercept = -7
Answer: D
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Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.Twice some number
A. 2 + x
B. 2 - x
C.
D. 2x
Find the center of mass of a thin plate of constant density covering the given region.The region cut from the first quadrant by the circle x2 + y2 = 64
A. = 0,
=
B. =
,
=
C. =
,
=
D. = 4,
= 4
State the domain of the rational expression.
A. {x -
, 1}
B. {x -5, 5}
C. {x -1,
}
D. {x -5, -1,
, 5}
Find the Taylor series generated by f at x = a.f(x) = x4 + 4x2 + 2x + 5, a = 4
A. (x - 4)4 + 16(x - 4)3 + 100(x - 4)2 + 290(x - 4) + 333 B. (x - 4)4 + 16(x - 4)3 + 100(x - 4)2 + 286(x - 4) - 195 C. (x - 4)4 - 16(x - 4)3 + 100(x - 4)2 + 290(x - 4) + 333 D. (x - 4)4 - 16(x - 4)3 + 100(x - 4)2 + 286(x - 4) - 195