Find the Riemann sum for f(x) = 4 sin(x), 0 ≤ x ≤ 3/2, with six terms, taking the sample points to be right endpoints. Repeat part (a) with midpoints as the sample points.

() at a farm, animals are fed bales of hay and buckets of gain.each bale of hay is in the shape of a rectangular prism.the base side lengths 2 feet and 3 feet,and the height is 5 feet. each bucket of grain is a cylinder with diameter of 3 feet. the height of the bucket is 5 feet as the height of bale. a. which is larger in area, the rectangular base of the bale or the circular base of the bucket? explain how you know b. which is larger in volume, the bale or the bucket? explain how you know

How many credit hours will a student have to take for the two tuition costs to be equal? round the answer to the nearest tenth of an hour.

What will the graph look like for a system of equations that has no solution? a. the lines will be perpendicular. b. the lines will cross at one point. c. both equations will form the same line. d. the lines will be parallel.