Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = -9xz2i + 2yj + 3z3k; D: the solid wedge cut from the first quadrant by the plane  and the elliptic cylinder x2 + 9y2 = 16

A.
B.
C.
D.


Answer: C

Mathematics

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Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and evaluating the function at the midpoints of the subintervals.f(x) = 7x on [1, 7] divided into 3 subintervals

A. 588 B. 98 C. 196 D. 392

Mathematics

Solve the problem.The expression for figuring the average speed of a car is , where m is the number of miles traveled and h is the number of hours traveled. Evaluate the expression for a car that travels  in 10 hours.

A. 49 mph B. 59 mph C. 55 mph D. 590 mph

Mathematics

State whether the linear model shown in the graph is exact or approximate. Then find the equation of the line.

A. Exact; y = - x + 4
B. Approximate; y = 4
C. Exact; y = 4
D. Approximate; y = x + 4

Mathematics

Graph the quadratic equation. Identify the vertex and the intercept points with their coordinates.y = x2 - 4

A. Vertex: (0, -4);
x-intercepts: none; 
y-intercept: (0, -4)

B. Vertex: (0, -4);
x-intercepts: (-2, 0) and (2, 0);
y-intercept: (0, -4)

C. Vertex: (0, 4);
x-intercepts: none; 
y-intercept: (0, 4)

D. Vertex: (-4, 0);
x-intercept: (-4, 0); 
y-intercept: (0, 16)

Mathematics