Solve the equation.y2 = 4y
A. {0, 2}
B. {4}
C. {0, 4}
D. {-2, 2}
Answer: C
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Solve the given differential equation.D4y + 18 D2y + 81y = 0
A. y = c1 sin 3x + c2 cos 3x B. y = (c1 + c2x)sin 3x + (c3 + c4x)cos 3x C. y = (c1 + c2x)sin x + (c3 + c4x)cos x D. y = (c1 + c2x)sin 3x + (c3 + c4x)ex
Use algebraic and/or graphical methods to solve the inequality.2x3 + 9x2 - 27x - 54 > 0
A. x < -6 or - < x < 3
B. -6 < x < - or x > 3
C. x ? -6 or - ? x ? 3
D. -6 ? x ? - or x ? 3
Graph the inequality.x ? 2
A.
B.
C.
D.
Provide an appropriate response.What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x approaches some value of a?
A. The limit of as
from the left exists, the limit of
as
from the right exists, and these two limits are the same.
B. Either the limit of as
from the left exists or the limit of
as
from the right exists
C. f(a) exists, the limit of as
from the left exists, and the limit of
as
from the right exists.
D. The limit of as
from the left exists, the limit of
as
from the right exists, and at least one of these limits is the same as f(a).