Q1/ find the Eigen value and Eigen vector for the smallest Eigen value if [2 1 -11 [A] 3 2 -3 L3 1 -2]

Q: 1. Find the inverse of A = 1 0 2 3 1 1 using the Gauss-Jordan method.

A: As per norms, we will be solving only one question. If you need an answer to others then kindly…

Q: 1. Use de Moivre's theorem to find all solution to 25 +32 i = 0. Give the solutions in polar form…

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Q: 16. Measurement Given the perimeter, P, and the lengths of two sides of the triangle, find the…

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Q: x - 1 5 = y - 2 3 Z - 2 1 2xy +z = 10

A: To find the solution of a system of equation is the values of the unknown for which the system of…

Q: Find the particular solution to the differential equation: 2(y')² ( y" = 1- when +3) x = 0, y = 1…

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Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer (1) p²x+q²y=z z =…

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Q: Q5(a) Let f(x) be a periodic function with period 4 such that f(x) = {2; 0<x<2 2<x<4 (1) Find the…

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Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer (1) p²x+q²y=z…

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Q: Gaussian Elimination Equations: 3X1 - 2x2 + x3 = 4 2x1 - 5x3 = 1 -3x2 + x3 = -1

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Q: By direct partial integration, Solve the following PDES 8- • Xd²z ахду dz ду + =0 Z(X,0) = X+X =X+X,…

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Q: Q3: A Cummins diesel engine is available in heavy-duty pickup trucks. The probability of the engine…

A: Conditional probability  If two events A and B associated with a random experiment . Then the…

Q: Using Parseval's theorem, establish 1 1 1 TL² 12+ 32 +52 + = ² 8' where Euler-Fourier coefficient of…

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Q: 2. A man put a pair of rabbits in a cage. During the first month the rabbits produced no offspring…

A: It is given that during the first month the rabbits produce no offspring and thereafter produced one…

Q: 6 By Separation of variables, Solve the following 5 PDES :- d²4 d24 dx² 0 o u(e,t) = u(s, t) =6…

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Q: (c) Bacteria grow in a nutrient solution at a rate proportional to the amount present. Initially,…

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Q: using Mathematica]

A: To prove that            ∫C-ydx+xdy=x1y2-x2y1 Where C is the line segment joining x1, y1 and x2, y2.

Q: Q4(a) (b) Find the complete solution of p? +q2 =z, where p = ax Find the general solution of d²q dq…

A: This is a problem of the differential equation.

Q: Use undetermined coefficients to find the particular solution to y'' + y' - 20y 20ye 4¹(-3 + 24x)…

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Q: Q3 The boundary value problem governing the deflection of a beam of length three meters is given by…

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Q: Solve the following equation using bisection method to find the root between x₁=1 and x2=5, make 5…

A: We have to solve the following equation using bisection method to find the root between x1 =1 and x2…

Q: p the iterate sed by the hy

A: Volume enclosed by hyperboloid z=1+x22+y22 under the plane

Q: 4. Evaluate the double integral: Y Sa+1 ¹/3 27 +1 (Hint: Change the order of integration to dy dr.)…

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Q: Identify the surfaces of the following equa equations in the Cartesian form. Show your complete…

A: According to the guidelines I am answering first question only. to convert cylindrical system to…

Q: By direct partial integration, Solve the following PDES 8- X²Z 5 4 dz , z(x,0) = x² +X, Z (2,y)= 3y"…

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Q: The number of computers sold per day at a local computer store, along with its corresponding…

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Q: 11. Write the integral that gives the area of the surface generated when the curve y = ln x + 2 on…

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Q: Use Cartesian coordinates to evaluate JIJ y² dV D where D is the tetrahedron in the first octant…

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Q: if (11 + 2! = d+ie), find the equation of 1+ 21 the ellipse whose Vertex is the origin and the one…

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Q: Consider the following statement.       "If (n+1)2 is an odd number then n is an even number." (a)…

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Q: C R using cylindrical c √1-2², 0≤ ≤ the solid B that lies +22=2 using sphe

A: 6. (a) The required solid is R=x,y,z: 0≤x≤1, 0≤y≤1-x2, 0≤z≤4-x2+y2. In cylindrical coordinate…

Q: a. Find an explicit formula for the sequence 1,-4,9,-16, ... b. Determine the first four terms given…

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Q: 4.By applying the Convolution Theorem to calculate L-1 is obtained: Determine the value of (a+b): a…

A: We have to find the solution.

Q: By direct partial integration, Solve the following dz 4 4 PDES - X²Z ахду =0 , Z(X₂0) = X+X, Z (2,…

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Q: Q3: A Cummins diesel engine is available in heavy-duty pickup trucks. The probability of the engine…

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Q: Calculate the location on the curve p(u) and first derivative p'(u) for parameter u=0.3 given the…

A: As per the question we are given a parametric curve p(u) and some points on the curve as : p(0) = [0…

Q: Use Cartesian coordinates to evaluate y² dV D where D is the tetrahedron in the first octant bounded…

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Q: Give example of strongly convergence in Functional Analysis

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Q: 4. Evaluate the double integral: Sa+1 ¹/3 27 +1 (Hint: Change the order of integration to dy dr.) dr…

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Q: du dt = 2 824 dx2 Ans u(x₂+) = -200 8 ● @ o u (o₂t) =(4,t) = 0 u (x,0) = 25 X 22 -n²tl8 sin n -200…

A: To solve a PDE by variable separation method, assume u(x,t) = X(x) T(t) to get pair of ODEs and use…

Q: 5.) m<s

A: This is a problem of angular measurement and finite math.

Q: Start with an unknown number. Triple it and then subtract 5. Now, take the new number and double it…

A: Let the original unknown number be x. Triple it and then subtract 5 :   3x-5 Take the new number and…

Q: ) Find the result of the following equation: A = 3² + 3+3² √2

A: To find the result of the given equation :-

Q: Partial Differential Equations Tutorial sheet classify the following PDES :- 227 822 827 ● +2 =x+3y…

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Q: 4. Solve the following 2nd_order OPES (5 steps) day = ( x ) = + (1 - 1) dy dx² dx h=0.02 Y(0) = 4 ال

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Q: 4. Use Cartesian coordinates to set up the iterated double integral given by Iff v² av D where D is…

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Q: ns in t 2 =4

A: The co-ordinate related as x=rcosθy=rsinθz=zx2+y2=r2θ=tan-1yx The Cartesian co-ordinate and…

Q: Give example of perpendicular projection in Functional Analysis

A: This is a question of Functional Analysis.

Q: [ f(u)du=t-fe²f(u)du By solving the equation A) f(t) = 1² B) f(t) = 1/2 e2t C) f(t)= t 1+e2t D) f(t)…

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Q: Q2/ by using inversion method to solve the system 8k-4x+3x-0 X+5xp-K-5

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Q: (2) Use contour integration to compute the following integrals. 2π (a) √2 cos(20) dv 5 + 4 cos v dx…

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