R is the region bounded by the functions f(x) = x + 2 and the x-axis and the lines x=2 and x=4. Represent the volume when R is rotated around the line x=4. L 2 Volume = Ilse pi for "T" and sort (x) for ". /" dx

Q: Draw the area bounded by function y = x^2 + 1 and line y = 5, then calculate the volume of the solid…

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Q: Find fne volume og the sohid öL taimed by rotading he region giren by y=*, yz0, x=, and =2 albant…

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Q: Find the volume of the region bounded by y=x^2 Below the x axis And on the right by the line x=3…

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Q: Find the abscissa of the centroid of the area bounded by the parabola y = x^2 and the line y = 2x +…

A: x=∫∫R x.ρ(x,y) dA∫∫R ρ(x,y) dA ,   y=∫∫R y.ρ(x,y) dA∫∫R ρ(x,y) dA  Centroid=( x  ,y )

Q: Q1: Find the area of the region between the curve y x-3x and the line y = x.

A: Let us consider the curve y=f(x) and y=g(x) between the interval [a,b] The area under the curve is…

Q: Find a vertical line x=k that divides the area enclosed by y=x^2, x=2, and y=0 into two equal parts.

A: Given,

Q: y-1/10(e^(5x)+e^(-5x)), for x:[-4,4], about the x axis. Find surface area

A: Let's find surface area.

Q: R is the region bounded by the functions f(x) +2 and the g(x) 1 r and the lines x-0 and x-4.…

A: Given fx=x+2 and gx=1-xand the lines x=0, x=4

Q: Find the area bounded by the ff. curves and lines: a. y = xe^–x , the x-axis and the maximum…

A: To find the are bounded by the curves and lines: (a) y=xe-x, the x-axis and the maximum ordinate.

Q: Find the area of the region bounded by the curve y=x^3-3x^2+3 and the x-axis.

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Q: Calculate the area of the region that lies between the line y=-1 and the parabola y = x²-6x-1,

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Q: Find the area of the region bounded by x=e^y, x=lny, the line y=2, and the x- and y-axes. Expres the…

A: Four curves are given. One needs to find the area between them.

Q: Find the area lying between the parabola y=4x - x^2 and the line y = x.

A: The given curves are y=4x-x2 and y=x. To find the area between the curves we will firstly plot these…

Q: Find the area enclosed between the x-axis, the curve y= (x-15)(7-x)(x+12) and the lines x=-12 and…

A: We have to find the area enclosed between the x-axis, the curve y=(x-15)(7-x)(x+12) and the lines…

Q: Find volume y=3x^2, x=1, and y=0 about x axis

A: y=3x^2, x=1, and y=0 about x axis

Q: find area, y=2x , y=3-x2  (0,1)

A: Area is a 2-dimensional quantity which is the measure of amount of space covered by any shape in a…