1- Write double integral that represent the area enclosed by the curve y=x-x² and the line y=x/4. -X/4 a) SX-2 0.25 dxdy. Jx-x² b) 0.75 x/2 dydx. c) fx-x² 0.75 dxdy. d) 0.75 x/² dydx. √x-x² Jx/4 Jx/4

Q: fu)=* fina the area under the Curve y=fCx) From x=3 +6 x= 9,

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Q: %3D Ex 4: -Find the area bouinded by the curve y = x² and the line y = x.

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Q: 26) (a) Sketch the region between the given functions (curves): y= 2x and y=x (b) Calculate the area…

A: Given: Curves: y=2x, y=x2

Q: 5 for 0<x < 7. %3D Calculate the area of the segment between the curves y = sin x and y =

A: To find the area between the curve

Q: (a) curves y=, y =-x², lines x=1, x=2

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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: Calculate the area bounded by the curve obtained by the function given by y = x² - 16, and the lines…

A: The area bounded by the function y = fx, and the lines x=a, x=b and y=0 in given by A = |∫abydx |…

Q: Find the areg between Ye CosX an d y--SinX trom o tr .

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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: 1 0 / x4 + 5x² + 4) ² Solve using residues. dx Poh

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Q: Find the area between the curve y=(x-2)(x+3)(4-x) and the x-axis from x = -1 to x = 3.

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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: Calculate ∫∫(x^2 + y^2)^3 dA. Where D is the region in the first quadrant                  D…

A: Concept Used:- In polar coordinates x=r cosθy=r sinθ ⇒x2+y2=r2 Consider the region D bounded by y=x,…

Q: Find the area between the curves. y = x5 - 2 ln (x + 5), y = x3 - 2 ln (x + 5)

A: Given: y=x5-2lnx+5y=x3-2lnx+5

Q: Estimate the area under the function f(x) = x1/3 between x=0 and x=2 using four rectangles and the…

A: The given problem is to find the area under the function f(x)=x1/3 between x=0 and x=2 using four…

Q: Let Fes) = fcx-s)dx Find fes) for %3D fex).x^, a constant the funchion where n is

A: Definite integral of the function ∫abf(x)=F(b)-F(a) where F is antiderivative of f .