Solve the inequality by using the graph of the function.f(x) > 0, where f(x) = -x(x + 1)(x - 1)(x - 3).
A. (-?, -1) ? (0, 1)
B. (-1, 0) ? (1, 3)
C. (-1, 0) ? (1, ?)
D. (1, 3)
Answer: B
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Find the extreme values of the function subject to the given constraint.
A. Maximum: 400 at minimum: -400 at
B. Maximum: 400 at and
minimum: -400 at
and
C. Maximum: 400 at and
minimum: -400 at
and
D. Maximum: 400 at minimum: 0 at
Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = -8xz3i + 5yj + 2z4k; D: the solid wedge cut from the first quadrant by the plane and the elliptic cylinder x2 + 36y2 = 121
A.
B.
C.
D.
Find the volume of the solid bounded above by the surface
?
z = f(x, y)
?
and below by the plane region R.
?
; R is the triangle with vertices (0, 0), (5, 0) and (0, 5).
?
A.
B.
C.
Find all solutions if . Round your answers to the nearest tenth.
?
?
? = __________°
What will be an ideal response?