Q:- find the mass of the plate that bounded between the 2X 12 and the x-aris. if the plate densily is Sang) = (Xy) . then write the equivakent integral it the order reversed ?

Q: (a) Express the mass M of a thin wire in 3-space as a line integral. (b) Express the length of a…

A: a) The objective is to express the mass M of a thin wire in 3-space as a line integral. The mass of…

Q: O Coleulate te in kegual using the Cauchy Integral Theoren e (2)2(2-0)

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Q: (3, 1) (у? + 2ху) dx + (- 1, 2) (x² 2ху) dy +

A: We have to show that the curvilinear integral is independent of path and we have to find its…

Q: A cylindrical gasoline tank with radius 4 feet and length 25 feet is buried on its side underneath a…

A: Volume of a cylinder is given by V = πr2h, where V is the Volume of cylinder , r is the radius of…

Q: Evaluate the integral: , (V4-z² dydz O 2[1- 4] + c O 2 [1 – ±] et

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Q: Set up the integral to find the surface area of the parabolic x^2+Y^2-z=0 planes z=2 and z=6.

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Q: dr a) find possibce non-constant fonctron fr) for the mdetinite integral to be eralvaled by…

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Q: () 4 dædydz; V: {r+y+ z = 3; x 20; y 20; :> 0} O A. pi В. 3 С. б D. 9

A: The given integral is ∫∫∫V43-xdxdydz and region is x+y+z=3; x≥0 ,y≥0, z≥0

Q: How to solve this equation y'''+2y''+4y'+8y=5e^(3t)+1 using Method of Undetermined Coefficient

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Q: 5) Evaluate the integral.cusc c for the constan6 of integrafion) 2(ean cx) +6an cx>) dx

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Q: V11 10) (z-VT) dz 15 15 A) - V C) - V1ī D) -VIT 11 11 2 В) + 21 2 11) (2x2 + x + 4) dx X + 1125 A) -…

A: We have to integrate

Q: x = 4 y = x' |(2, 8) y = 8 y = Vx (4, 2) Figuro 1

A: Solution for question a: In figure 1 the region is bounded x=y2,the x-axis, where 0≤y≤2 The formula…

Q: Fid

A: To find the triple integral ∫∫∫B24xy2z3dV , where B is the box B=0,a×0,b×0,c. dV=dzdydx.

Q: xdx g) 7x + 2) h)f sin(In x) dx of xe" dx

A:

Q: Which of the following is not a meaningful triple integral?

A: a. ∫01∫0x∫x+y2x+yex+y+z dz dy dxb. ∫01∫0z∫x+y2x+yex+y+z dz dy dx

Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute 2x-x² 1 the polor…

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Q: Flxyy) de dy is an integral orer what region?

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Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute the polor integral…

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Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute the polor integral…

A: The given integral is ∫12∫02x-x21(x2+y2)2dydx. The objective is to change the cartesian integral to…

Q: bu On30 do + C In b Hint: budu

A: topic - integration by parts

Q: A solid, G is bounded in the first octant by the cylinder x² + z² = a², plane y = x, and y = 0.…

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Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: Given   Liquid density=9000 N/m3. Equilateral triangle with side 2m. Consider a equilateral triangle…

Q: Express the triple integral ∭Udxdydz in terms of iterated integrals in six different ways. The…

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Q: Evaluate the integral (3x +y)dA {(x,y)|-2sy53, y -35xsy+3}.

A: It is asked to evaluate the integral, the region D is defined as, D = {(x,y) | -2 ≤ y ≤ 3,  y2-3 ≤…

Q: cmpute the flux integral &F.nas where F=-4x yù+ 4 and CW +y2-1 oriented anti. the circle x? dock…

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Q: A water tank is in the shape of an inverted cone (the vertex of the cone is the bottom of the tank).…

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