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

Mathematics

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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  

Mathematics

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.

Mathematics

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.

Mathematics

Find all solutions if . Round your answers to the nearest tenth. ?  ?  ? = __________°

What will be an ideal response?

Mathematics