Find all integral solutions (a, b) ∈ Z2 for each of the following three equations: a2+b2=1,a2+b2=2 and a2+b2=9.

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Q: Solve the following Fredholm integral equations by using the successive substitutions method: 1.…

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Q: Solve the equation by Cauchy's integral formula. ez dz z - 5

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Q: 55-х 5—х-у SS J dzdydx 0 0 0

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A: integration

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Q: Determine the integral solutions for which x and y are positive. 2x + 5y = 17

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Q: Use the substitution formula to evaluate the integral. Vx +1 dx B) 2/2 - 1 D) 3/2 - 3

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Q: B. Solve for the integrals of the following: 3x2 dx -5 COS xesinx -dr c) ] 4 4x a) b) dx esin z

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Q: show the steps of this integral: | dxp In p = In a H

A: Given that H=-∫0adxρlnρ This can be written as, H=∫0a1ρdρ

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Q: Use areas to evaluate the integral. 11b 2s ds, 0<a<b

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Q: Solve the line integral if path A is a0- (-2+2i) Al= 0+2i A2= 0-2i A3 - 2-2i (3+ 2 )' dz A

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Q: 6x + 8 + 8x)2

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Q: Find the complete integrals of the equations (i) px - 4q°x² + 6x²z=2 =0

A: As per our guidelines we can answer only first question. If you want another question kindly repost…

Q: Find the integral of f(r, 0) = where 1 <r <3, 4r2,

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Q: Evaluate the integrals ∫(t + 1)2 - 1/t4 dt

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Q: Evaluate the integral, 00 xn+1e-a²x* Jn(bx)dx, a > 0, b> 0,

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Q: Evaluate the integral. 2 (8t i - j+ 3t5 k) dt

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Q: 24 S2−3x√1 + y² dydx 0

A: To solve the following iterated integral.∫02∫x24-3x1+y2 dy dx

Q: Find the integral. 12x Vx dx 9 24 OA. 7 +C 8 О в. + C 3

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Q: | Væ – 2 dæ 2

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Q: Find the polynomial p(t) = t + azt² + a,t + a, for which the integral J = has the smallest value.

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Q: Find all integral solutions of 188 x + 140 y= 4 A) x= 3+ 35 n and y=-4- 47n,n€z B) x= 4+ 55n and y=…

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Q: Solve the following Integral Equation: -t + x(0) = 3 %3D

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Q: b) Calculate (i) the following integrals x² (3x³ + 2)²dx

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Q: Solve the following Fredholm integral equations by using the successive approximations method:

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Q: ydy +4y+11

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Q: In (x le) (2– sec²x)elmtafcsec?x sec(3A – x) - dx to be integrable using the formula 'du? What…

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Q: (1-i)n=2n

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