Classify the statement as true or false.10 ? {4, 6, 8, 10}
A. True
B. False
Answer: A
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Solve the equation.7x3 - 32x2 - 15x = 0
A. x = 0 or x = - or x = 5
B. x = 0 or x = or x = -5
C. x = - or x = 5
D. x = 0 or x = - or x = 5
Solve the given differential equation.y"' - 48y' - 128y = 0
A. y = C1e8x + (C2 + C3x)e-4x B. y = C1e-4x + (C2 cos 8x + C3 sin 8x) C. y = C1e8x + C2e-8x + C3e-4x D. y = C1e-4x + (C2 + C3x)e8x
Calculate the double integral.
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.31x2 + 10xy + 21y2 -144 = 0
A. ? = 30° +
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±3)
B. ? = 36.9° +
= 1
ellipse
center at (0, 0)
major axis is x'-axis
vertices at (±3, 0)
C. ? = 45°
x'2 = -4y'
parabola
vertex at (0, 0)
focus at (0, -)
D. ? = 45°
y'2 = -4x'
parabola
vertex at (0, 0)
focus at (-, 0)