Let "A" be the area of the region below graph of f(x) = e-x in the interval [0,2].  a) Using the right endpoints of each subinterval, find an expression for "A" as the limit b) Estimate the value of the area by taking 4 subintervals and choosing their midpoints as sample points.

Q: 29) Find the area bounded by the curves y= In x, y = 2 In x and line x-e in the first quadrant.

A: I have given the answer in the next step. Hope you understand that

Q: Find the area of the region bounded by the graph of the following functions y=x2, y=-x2 +3

A: The given functions are:To find: The area bounded by the given functions.Concept:The area between…

Q: ii, Find the area under the graph y=5x⁴between the limits x= 1 and x=3.

A:

Q: 3) Use approximating rectangles to approximate the area under the curve y = 4 – x2 on the interval…

A:

Q: Estimate the area under the graph (sqr-root):x+4 over the interval [-4,12] using 8 approxiamating…

A: Given function: Width of each interval = (12-(-4))/8= 16/8= 2  So the partition is -4, -2, 0, 2, 4,…

Q: 1* quadrant area of y = (4-x)/(x+2)²

A: Given  Curve y=(4-x)/(x+2)2  To find  area bounded by curves in first quadrant

Q: Q2) A) Graph the curve Y = x (x +5)(x-3) between the value of x [-5, 3], then find the area of the…

A:

Q: Approximate the area bounded by the graph of Ax) = -x² + 9, the x-axis, and the vertical lines and…

A:

Q: Find two  z  values so that  62%  of the middle area is bounded by them

A: Given that  We have to  find two z values so that 62%  of the middle area is bounded by them

Q: Graph the function in the given interval. Then find the total area of the region between the curve…

A:

Q: Estimate the area under the graph of f(x)=5/x from x=1 to x=7. Approximate using 6 rectangles.A.) If…

A: There are 6 rectangles  So each rectangle is of width = (7-1)/6=6/6=1 So, endpoints are…

Q: a) Graph the region bounded by y = x2 - 1. y = 1- x indicate and label a representative b) Find the…

A: It is given that, the function y=x2-1 and y=1-xWe have to find: (a) Graph the region bounded by…

Q: Find two  z  values so that  78%  of the middle area is bounded by them.

A: z has standard normal distribution. where mean=0 and standard deviation=1 i.e. z~N0,1