34x + 16 f(z) g(z) The partial fraction decomposition of 8x2 can be written in the form of 14x + 3 4.x 1 2x-3 where • f(x) = g(x) =

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Q: 19. Which of the following polar functions is a limacon with dent? A) r= 2+2 cos 0 B) r= 2+5 cos 0 C...

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Q: D 1 2 В L 지1 191 122 + y2) dxdydz 2 2 2

A: Given,          k2=1V∫-D2D2∫-B2B2∫-L2L2(x2+y2)dxdydz       

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Q: O Find power series solution OF the given dip Ferin tial equation. y"+9y rO

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Q: The solution of the Bemoulli equation y' +2-Vy= 0 is:

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Q: у" +у%3D0.001t?, У (0) %3D 0, у'(0) %3D 1.5

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Q: Let z E (-1,0) and let R, (z) be the remainder in Maclaurin's formula for In(1+z) in Cauchy's form. ...

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Q: : Find the PA=LU factorization of the following matrices: 2 4 -2 2 4 -2 A = 6 0 3 B = 6 0 4 2 3 4 2 ...

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Q: 1. Find an equation of the tangent line to the graph of y = In (x² – 3) + e²-* at the point (2, 1).

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Q: The standard form of the differential equation cosx y' + cosx y = x sin x is: None of the above O y'...

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Q: A snail is at the bottom of a 10-meter well. Each day it crawls up 3 meters, but at night it slips d...

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Q: A periodic function f(t) has a Fourier series -(-1)" +1) 00 F(t) = 1+ cos(nat) +E (n-2) sin(nnt). n ...

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Q: Which of the following functions fom a particular solution of the differential equation y"-2y'-3y = ...

A: Given DE is  y"-2y'-3y=xe3x.....(1) We find particular solution.

Q: 3. Find the coordinate Vector [æ]m of the vector r = relative to the given basis B.

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Q: By constructing a truth table, show that the compound propositions ¬(p v (¬p ^ q)) and -p A ¬q are l...

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Q: F. Evaluate dr, where F = (-6x², 9y², –12z²), and C is the curve: 7() = (t, 12 – 21°, 2³ – 1²), 0 < ...

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Q: Question1. Find the vertex of the parabola, y = f(x) = -3x2 + 6x + 3. %3D Inntationa for

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Q: c) The divergence of F(x) = (2x³y)i + (y2e?)j – (5x cos z )k is d) The inverse Laplace transform of ...

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Q: (2) y ty= tanx (0)=2 (0) = |0

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Q: Given the following simultaneous equations: 7.8x1 + -1.6x2 + 9.1x3 + -8.2x4 +-2.7xs+-4.8 0 -3.5x1 + ...

A: The system of equations given is as follows: 7.8x1-1.6x2+9.1x3-8.2x4-2.7x5=4.8-3.5x1-8.5x2-9.3x3-3.2...

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Q: Solve the linear DE: v dx + (2x + 1 - vx) dv = 0.

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Q: 17. Find the centroid of the volume generated when the area bounded by y =-x² -x-"and y = -x? -x+ is...

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Q: 2. Apply Newton's Method to determine a real root of the equation f(x)=2x+24x+61x²-16x+1=0, for thre...

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Q: Use the divergence theorem to find the outward flux (F n) ds of the given vector field F. F- xy'i + ...

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Q: 5 H. N 3 M

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Q: Complete the following tables of values to investigate lim: f(x) f(x) -1 -0.8 0.75 -0.35 0.45 -0.1 0...

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Q: Given f(z) = (y + 1) i(x³ – 3 x). Find the set of all points zo = xo + i Yo where f is differentiabl...

A: f(z)=(y3+1)i(x3-3x) f(x+iy)=(y3+1)i(x3-3x) f is differentiable if ux=vy, uy=-vx