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- g(x) = 2x2 − x − 1, [3, 5], 4 rectangles Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval.finding the area of a region f(x) = 1/9x^2, y = 1, x = 1, x = 2 i got 1-1/9x^-2 Then what i got is x-1/9x but answer is x+1/9x why we have plus here.lim 3^x = 0 x--> -infinity, ε = 1/2, find smallest-magnitude N < 0
- The graph of ƒ(x) = 6x(x + 1)(x - 2) is shown . The region R1 is bounded by the curve and the x-axis on theinterval [-1, 0], and R2 is bounded by the curve and the x-axis on the interval [0, 2].a. Find the net area of the region between the curve and the x-axis on [-1, 2].b. Find the area of the region between the curve and the x-axis on [-1, 2].R is the region bounded by y= sqrt x , and y= 6-x and the vertical y-axis. Q is the region bounded by y= sqrt x, and y=6-x, and the horizontal x- axis. (They Intersect at (4,2) ) Label both regions on the graph.F(x)=-4cosx g(x)=2cosx+3 for 0<x<2pi Shade the region on a graph bounded by the graphs of f and g between the points of intersection.
- lim 3x/x+1 = 3 x--> infinity, ε = 0.5, find smallest N > 0The finite region bounded by x=y^2 and x=6-2y^2 rotated around the line x=8. The region bounded by the x-axis, y=x^2 and y=2-x rotated around the x-axis. The region bounded by the x-axis, y=x^2 and y=2-x rotated around the y-axis.4) find a such that the line x=a divides the region bounded by the graphs of the equations into two regions of equal area SEE PHOTO
- Use a graphing utility to graph the region bounded by the graphs of the functions. Find the area of the region by hand. f(x) = −x2 + 6x + 3, g(x) = x + 30<x<2pi F(x)=-4cosx G(x)=2cosx+3 Solve for f(x)>g(x) on [0,2pi]. write the answer using interval notation. The, shade the region bounded by the graphs of f and g between the points of intersection.Show Detailed SolutionFor a cooking oil company, the price they are paid for coconuts in large shipments is based on the amount of coconut extract from the load. Therefore, there is a need to determine the amount of coconut extract in the whole load prior to extraction. A sample of n coconut can be taken and find y1, . . . , yn , the amount of coconut extract in these coconuts. Nȳ is hard to get in this case because N is hard to count. How can the total amount of coconut extract from a load shipment be measured? Using the total weight would be a good idea and easy to obtain. The relationship between the weight of the load and the weight of the coconut extract one obtains can be used. As it turns out, 15 coconuts selected by simple random sampling were weighed and also extracted. The total weight of the coconut shipment was found to be 900 kg. Given these results (below):Use a ratio estimator to estimate the total weight of the coconut extract for this shipment of coconuts.…