Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = 
between x = 2 and x = 8 using the "midpoint rule" with two rectangles of equal width.
A. 
B. 
C. 
D. 
Answer: C
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Solve the problem.A vertical right circular cylindrical tank measures 
high and
diameter. It is full of oil weighing 
. How much work does it take to pump the oil to the level of the top of the tank? Give your answer to the nearest ft ? lb.
A. 5,320,099 ft ? lb B. 10,640,197 ft ? lb C. 2,660,049 ft ? lb D. 44,334 ft ? lb
If f(x,y) = x² + 6y², use the gradient vector ?f(10, 2) to find the tangent line to the level curve f(x,y) = 124 at the point (10, 2).
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Calculate the standard deviation of the grouped data in the problem. Create an extended table using five additional columns.ClassFrequency, F0 - 1.9 m52.0 - 3.9 m64.0 - 5.9 m116.0 - 7.9 m48.0 - 9.9 m910.0 - 11.9 m10
What will be an ideal response?
Solve the problem.A satellite dish is shaped like a parabola. The signals that are received by the dish strike the surface of the dish and are reflected to a single point, where the receiver of the dish is located. If the dish is 8 feet across at its opening and 1.3 feet deep at its center, at what position should the receiver be placed?
A. 0.6 feet from the base along the axis of symmetry B. 5.3 feet from the base along the axis of symmetry C. 4 feet from the base along the axis of symmetry D. 3 feet from the base along the axis of symmetry