x² +y? Given that the volume of the solid under the paraboloid z = and above the disk æ2 +y² < 169 is 2 find the value of m.

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Q: min 4a1 + 5xз subject to 2x1 + x2 – 5x3 -3x1 = 1 + 4xз + х4 — 2 Ti > 0,і — 1,2, 3, 4.

A: As per Bartleby guidelines we're supported to answer only first one question when two or more questi...

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Q: =-rگت( (1+ V5) )(n- 2) < fn (п— 2) Use induction to prove that 2 ((1+ |(n–1). for all n 2 3.

A: Introduction: One of most important sequences in mathematics and number theory is Fibonacci sequence...

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A: Given differential equation is (1 + x)2dydx + y2 = 1

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Q: 9 Let g(z) = O is a z3 sin(2z)' a) a simple pole of g(z) b) a pole of order 2 of g(z) c) a pole of o...

A: Given: g(z)=9z3sin(2z)

Q: 1. Let A = and B = For what values of t is 2A+B invertible? 2. Let n be a natural number and let A, ...

A: 1.)      A=2-131 ,   B= 012t2A+ B = 22-131+ 012tFor 2A+B to be invertible determinant of ( 2A+ B) mu...

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Q: Evaluate the following: 1. "(1 – x)e-*dx -∞ exdx 2. S - 00 1+e2x dx 3. J1 x(x+4)

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Q: Find the Maclaurin polynomials of orders n = 0, 3, and 4 and then %3D find the nth Maclaurin polynom...

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Q: Let T : V → W and S : W → V be two linear transformations satisfying T ST = T and ST S = S.   Fix V...

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Q: Obtain the moment of the area generated by x = 2a, bounded by x= y and x2 2ay.

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Q: Find the volume of the solid generated by revolving the area bounded by x - y? + 6y – 9 = 0 and %3D ...

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Q: The integral expression: / Ocos?20 d0 can be evaluated by parts of the form: udv =uv - / vdu. The pr...

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Q: 2x1 – 6x2 – x3 = -38 -3x1 – x2 + 7x3 = -34 -8x1 + x2 – 2x3 = -20

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Q: -3x1 + x2 + 12x3 = 50 6x1 – x2 – x3 = 3 6x1 + 9x2 + x3 = 40

A: Here we consider X1=x,  X2=y, X3=z (for Easier to solve) .  So, 

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A: We have solved the given differential equations.

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Q: sov? (2² – 2) (2a² – ²) } æ²)

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Q: y' = (1-x1)y , y(1) = 1, h = 0.1 1.3477 O 1.3823 O 1.3581 1.3233

A: dydx=f(x,y), (x0,y0) , and with given step size h: ym+1=ym+h2f(xm,ym)+fxm+h,ym+hfxm,ym

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Q: 3 1 -3 A 4 2 = -3 2 1.

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Q: 2. Find the solution of the given initial value problem using MUC: 2y(3) – y(2) – 2y(1) + y = 4x3 – ...

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Q: gk-1 H 9. gk = for all integers k > 2 8k-1 +2° 81 = 1

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Q: 6. y" – y – 6y = 0, y(0) = 1 e y'(0) = -1. 7. y" – 2y' + 2y = 0, y(0) = 0 e y'(0) = –1. %3D

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Q: Prove the Divergence Theorem [3P. + R 2 Pi (0,7) (2,7) (0,0)

A: ANSWER: The given vector is u→=3p1+p2i^+2p1 j^. The region is given by 0≤p1≤2, 0≤p2≤1;

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Q: Let A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and B = {0, 2, 4, 6, 8}. How many subsets U of A are there so...

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Q: 3-) The terminal arm of an angle in standard position passes through the point (5,9). Find the radia...

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