y =x, 4x + y =12

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

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A: We used Octave to plot the above curve. And the code is:  theta=linspace(0,2*pi,1000);…

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Q: Q4) Find the shared area between the two cardlold r=1+sin@ and r%3D1-sin0

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Q: 4) e4ydy -00

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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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

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A: We have to determine the area of  from  to  with  trapezoids.

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Q: レー2 (v–1)(2v – 1², *"

A: Note: since you have posted 2 different questions. Here we are solving the first question, For the…

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A: Let us choose a function f(x) = x2 and say that we want to calculate the ara under f(x) and x-axis…

Q: 5) The plane region bounded x = y², y = 2, x = 0 is revolved about the y-axis. Determine the volume…

A: Consider the provided information, x=y2, y=2, x=0 Revolving about the y axis find the volume of the…

Q: Compute the area by the method of coordinates of the traverse whose corners have the coordinates…

A: Given Points are A=(200,400) B=(600,-200) C=(300,-350) and D=(-300,-350)

Q: yA y= sin.x y = cos x

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Q: Find the area under the curve y = x^2 on [3, 10]. a. Use four rectangles. b. Find the exact area.

A: a)-We have   fx= x2We want to calculate over the interval 3, 10 with 4 rectangles, thus…

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A: