Find the volume of the region that lies above the cone z = √x² + y² and between the spheres x² + y² + z² = 2 and x² + y² + z² = 9 using a triple integral.

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Q: 7. Given 2x2y" + xy' + 3y = 0 show that 2x2y+2) + (4n + 1)xy"+1) + (2n² – n+ 3)ym) = 0 %3D

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Q: Find the Laplace Transform of the following time function: f (t) = 1t²cos [8t + (50 + 4)º]

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A: Value of the integration

Q: (A) 2abc (B) -1 D abc -a Evaluate-2a + 4x x b 2b-4y 2c +4z|

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Q: پر پرده .G Vqx dy dx ( 1+ x 473/2 (۹۰)

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Q: value of the determinant:

A: Given,            A=342-1-3-2231-112-103-123102320-2

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A: Given maximize problem is max fx,y=-4x2-2xy-4y2subject tox+2y≤22x-y≤-1x,y≥0 For the  KKT condition…

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Q: For what value(s) of k is the matrix not invertible? Blank 1 Blank 1 Add your answer k k k 0 k² 2 k…

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Q: || 0 -3 5 3 0 1 -1 0 -51 then the matrix A is .a a symmetric matrix .b a Hermetian matrix .c an…

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Q: Determine the Laplace transform of f(t) = 5sin 2t - 6t * cos 2t

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Q: is                         . B. Suppose the only solution of AX=B is the zero matrix ( A is nxn and…

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Q: d by revolving the area enclosed by: x = y2 +1 , x = 0, y = 0 and y = 2 about: y = 2

A: Introduction: The formula of shell method using the horizontal axis of revolution is given by,…

Q: 6. Confirm that the integral test is applicable and use it to determine whether the series converges…

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Q: Show that || (A(st) + A(s)A(t)) dsdt = 2.x log x + 0(x) as x → 0o. JU(4)| log°x s 2 // |u() dsdı +…

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Q: 2. For all equations e, if e is quadratic, then e has at most two real solutions. Which of the…

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Q: TRUE OR FALSE? A. If AX=0 has a nonzero solution, the determinant of A is not zero. B. Suppose A…

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Q: What is the laplace transform of f(t)= t4 e³t

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Q: t) find the integral of the tunction fiyリ= over the region rading 2 andrudins 3, Centeread at the…

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Q: 5.C.b. Is (4.3^3)=(2^2 27). Yes O No 5.C.C. What is the first and second element of (3, 9)? First…

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Q: 3. L {e-5t + t²}

A: We have to solve the given laplace transform.

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Q: L-¹ s+2 2s²+4s+ 7

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Q: Q4/Find the abs.max and abs.min valuse of the huctu f,y) = \+xy-3x on the cosol regen oounded by the…

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Q: 3) Evalnate the iterated integral by cConverting the to palar corrdinates V2x-x a)

A: Given integral is ∫01∫02x-x2x2+y2dydx Let  x=rcosθ,y=rsinθ then x2+y2=r2 and dxdy=rdrdθ Here 0≤θ≤2π…

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Q: Find the inverse Laplace of (4 / s^2 + 9)

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Q: Express the following in the form a + bi Answer in handwritten form. Write legiblyy

A: The complex number is calculated as shown below.