III. Do as indicated. 1. Use Venn diagrams to exhibit A – (BnC) = (A – B) U (A – C). %3D |

Q: e*dx + 2 | 2*dx = e*+1 2*+1 + + C, In 2

A:

Q: 2. Using Nodal Analysis solve for the Value of Vb. Va I1 10Ω Vb 20 Ω I2 Vc 10v 20v 40 Ω I3

A: Solution

Q: 2. Consider the integralr e (a) Evaluate the integral using the composite Simpson's rule with n = 4…

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A: Solution: given  F=-z-y,x-z,x-yand C is the intersection of ; z=x2+y2 and z=y First, we solve the…

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A:

Q: 2. (a) Find the derivative y', given: (i) y = (x² + 1) arctan a – r; Answer: (ii) y = cosh(2r log…

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A: Given the function ft=121-u2πt2sin t-sin 2t  We will find the Laplace transform of ft

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A:

Q: Given:  U = { 2, 5, 8, 11, 14 }             A = { 2, 5, 8, 11 }              B = { 2, 8, 11, 14 }…

A: Solution:-

Q: DO NOT include spaces in between characters. * The point (3,2 )is on a curve, and at any point (x,…

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Q: 10. If L = {3* |x = 1,2, 3, 4, 5 }, then L is an infinite set. 11. If J= {x € Z|0 |O|]. %3D %3D

A:

Q: SOLVE FOR INVERSE LAPLACE TRANSFORM 3s + 2 4s2 + 12s + 9

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Solution :-

Q: Q3) Solve the following boundary value problem using finite difference method dy +2y = 0 dx y(3)=…

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Q: Express the following complex number in its polar form. i"(V3 - i10)(2 – 15)

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A: Consider the given equations, xk+1=123456789xk+1-23ukyk=12-3xk Let us suppose that, A=123456789,…

Q: 4. (a) (i) Calculate (4 + 10i)². Answer: (ii) Hence, and without using a calculator, determine all…

A:

Q: y(x2 + y? – 1)dx + x(x² + y² + 1)dy = 0 У (2x2 — ху + 1)dx + (х — у)dy %3D 0 x2 + y2 dy 1 dx…

A:

Q: 5. (a) Let z = (a+ ai)(b+ bv3i) where a and b are positive real numbers. Without using a calculator,…

A: Solution :-

Q: 1 2 Q4) Find the maximum eigen value for the system 4 = 5 4 with initial vector x' (0) = (1 1)

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Q: 4.) Verify the Divergence Theorem where F(x, y, z)=(x',xz,3z) given by x' + y +z² <4. and E is the…

A:

Q: Consider an oscillator satisfying the initial value problem u" +w?u = 0, u(0) = uo, u'(0) = vo- %3D

A: Given initial value problem: u''+w2u=0, u(0)=u0, u'(0)=v0   To find:  (a)let x1=u, x2=u', and…

Q: Using the method of LaPlace Transform, solve the following IVPs a.) y"' + 3y" + 3y' = y…

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Q: Jy cosy smy dy 3

A:

Q: Newton's method Employ Newton's method to find all solutions of the equation 0 = 2 – 2 cos(2r) – 4x…

A: Solution : f(x)=2-2cos(2x)-4xsin(x)+x2-x4 f'(x)=4sin(2x)-4sin(x)-4xcos(x)+2x-4x3 f(x)=f(-x) f(x) is…

Q: Let G, (Isisn) be n groups and G is the external direct product of these groups. Let e, be the…

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Q: 4. Find the volume of the solid generated by revolving the first quadrant area of the curves xy=2,…

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Q: Q3: Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) = 2.F(s) = s4+s2 2…

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Q: Solve the given DE: dy ex – 2x cos y ey – x² sin y' - dx

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Q: Set up the double integral f 2x + y2dA where R is the region above the x-coordinate bounded by the…

A: Double integration: Let f(x,y) be the two variable function. Then the integral defined on Region R…

Q: 4. Let f:R→Rbe a function defined by f(x)=x for every xe X . Show that f is a continuous.

A:

Q: Let T(7) = Az for the following matrix A and let b be the vector given below. 1 1 2 -4 A = -1 8 1 3…

A:

Q: 3.) Verify the conclusion of Stokes' Theorem given F(x,y,z)=(x-y,y-z,z–x) where S is the surface cut…

A:

Q: 6. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded…

A: Given curves are  y=x10-xx=5y=9

Q: Hiws slove du dt 4 dx2 K= 8. h=1 u(o,t) =0 u (8,+)=c U(x, a) =0 = 4 X- (5)X |

A:

Q: 2. The Lorenz curve of a particular society is given by L(x) = Ax? + Bx. |3D Suppose that the…

A: Given that Lorenz curve of a particular society is given by  Lx=Ax2+Bx     .......(1)

Q: Q3) Solve the following boundary value problem using finite difference method dy +2y = 0 dx y(3)=…

A:

Q: 1. Use the Diagonal Method to evaluate the value of the determinant: 3 4 2 -1 – 3 1 - 2 2 3 -1 1 2…

A:

Q: 1. Using Cramer's Rule а.2х + у —z%3D33 b.x + y+z= 1 с.X-2 у—3z%%34 |

A:

Q: Q1: Apply Gauss Seidel method to solve the following linear equations, starting from 1,1,15…

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Q: a k 2 + k² S 2 + k² k

A:

Q: QUESTION 1 Find an integer x between 220 and 260 that satisfies x = 39^123 (mod 41). Your answer…

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Q: Use the Cubic interpolation and the following data to find f(1.1) XF(x) 1 0.368 1.2 0.301 1.3 0.273…

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Q: ination method to solve the equation? x + 4y – z = -5 x + y- 6z = -12 3x – y - z = 4

A: System of Linear equations

Q: O Find the first four term of the Maclaurin series of the function f(x) = log((1+ x)), then give an…

A: The Maclaurin series of a function is defined as f(x)=∑k=0∞f(k)(0)k!xk. This series can be expanded…