Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of these.y = 5x2 + 5
A. x-axis, y-axis, origin
B. x-axis only
C. origin only
D. y-axis only
Answer: D
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Find the center of mass of a thin plate covering the given region with the given density function.The region between the x-axis and the curve y = , 1 ? x ? 2, with density ?(x) =
A. =
,
= 1
B. =
,
=
C. =
,
=
D. =
,
=
Expand the expression using the Binomial Theorem.(x - 9y)5
A. x5 - 45x4y + 810x3y2 - 7290x2y3 + 32,805xy4 - 59,049y5 B. x5 - 45x4y + 810x3y2 - 7290x2y3 + 32,805xy4 - 59,049 C. x5 - 45x4y + 1620x3y2 - 14,580x2y3 + 32,805xy4 - 9y5 D. x5 - 45x4y + 1620x3y2 - 14,580x2y3 + 32,805xy4 - 59,049y5
Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.2y2 = 3y - 4
A. Two different imaginary solutions B. Two different irrational solutions C. Two different rational solutions D. Exactly one rational solution
Solve the system of equations graphically. Round to the nearest hundredth when appropriate. y = 2xx2 + y = 2
A. (-3.73, -7.46),
B. No real solutions
C. (-2.73, -5.46),
D. (-2.73, -10.93),