(2 points) (a) Compute s4 (the 4th partial sum) of s=∑n=1[infinity]6910n5 : s4= Note: if giving a decimal approximation to this part, you may need to enter more digits than usual. (b) Estimate the error in using s4 as an approximation of the sum of the series (i. e. use ∫[infinity]4f(x)dx≥R4 ): Estimate = (c) Use n=4 and sn+∫[infinity]n+1f(x)dx≤s≤sn+ ∫[infinity]nf(x)dx to find a better estimate of the sum: ≤s≤ Note give each answer accurate to (at least) five decimal places.

() 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

Graph g(x)=2cosx . use 3.14 for π . use the sine tool to graph the function. graph the function by plotting two points. the first point must be on the midline and closest to the origin. the second point must be a maximum or minimum value on the graph closest to the first point.

Acomputer store buys a computer system at a cost of $370.80. the selling price was first at $ 618, but then the store advertised a 20 % markdown on the system. answer parts a and b. a. find the current sale price.