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) = 3x5  on [1, 3] divided into 4 subintervals

A. 703.2
B. 175.8
C. 58.6
D. 103.8


Answer: B

Mathematics

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Solve the problem.Find a field G = P(x, y)i + Q(x, y)j in the xy-plane with the property that at any point (a, b) ? (0, 0), G is a vector of magnitude tangent to the circle x2 + y2 = a2 + b2 and pointing in the clockwise direction.

A. -yi + xj B. xi - yj C. xi + yj D. yi - xj

Mathematics

Solve the problem.The logistic growth function f(t) =   models the number of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community. How many people were ill after 4 weeks?

A. 39,000 people B. 39,650 people C. 26,271 people D. 240 people

Mathematics

Use the given information to find the exact value of the trigonometric function.cos ? = - , sin ? > 0Find cos .

A. - 
B.
C.
D. - 

Mathematics

Convert the measurement to the specified units. Round to the nearest tenth of a degree, when necessary.90 miles to kilometers

A. 55.8 kilometers B. 81.9 kilometers C. 144.9 kilometers D. 98.1 kilometers

Mathematics