5. Using n = 4 rectangles, estimate the area under f(x) = 2x² +5 to the x-axis on the closed interval [0, 2] for: a) left endpoints, b) right endpoints, c) calculate the exact area by using integration.

Q: find the area between the graphs of y = (x + 1)* and y 3z +1. a)1, b) 3.

A:

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 included between x + y* = 4x and y = = x above x-axis.

A: Consider fx and gx be two functions between a,b and fx≥gx .Then area between graph of these two…

Q: Find the area bounded by y = 2x²+10, y = 4.r +16, x =-3 and x =

A: To calculate: The yellow region, which represents the required area. Determine the limits of…

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: Q3 ) Determine the area shaded between the big circular of equation x+y? =16 and other inside small…

A: Find the area by integrating in polar coordinates system. r varies from 1 to 4. Theta from 0 to 2π

Q: Estimate the area under the graph of f(x) = √x + 4 over the interval [−4, −2] using eight…

A: fx=x+4 To find: The area under the graph fx=x+4 over the interval -4,-2 using the midpoint formula…

Q: Find the area bounded by the curve y = 3x²/4 and the lin 3x – 2y + 12 = 0.

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: Find the area bounded by y = x² −1, the x axis, and x = 4 in the first quadrant using 6 divisions of…

A:

Q: I have done part A, and attached it as an image, I need parts B and C please: B) Repeat part (a)…

A: We have to estimate the area by using left endpoints and mid points.

Q: Estimate the area between the x-axis and the graph of f(x) = 9 - x² over the interval [-1,2] by…

A:

Q: Find the area bounded by the lines: X = x =/y+3.x = y+3 %3D 4/9 9 square units $/s square units 4/3…

A: Area between curves

Q: x=linspace(1,5*pi/3,50); y=linspace(-pi/2,pi/2,50); z=3*sin(x)^2+y^2+7; how many square units of…

A: The given function is z=3y2sin2x+7 and x=1,5π3,50 , y=-π2,π2,50. To determine: How much fabric is…