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
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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
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
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
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)