Question 5 Find a 4x4 matrix A (NON-ZERO ENTRIES ONLY) with 3 eigenvectors coming from a single eigenvalue of your choice.

Q: Q2) Solve the D.E dy – (2x/1– y²)dx = 0

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Q: 3+ V9 – 4(3 – i) 21 = 3+ V4i – 3 2 How do you solve for the equation above ?

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Q: Problem: Chris left his home at past 3 o'clock PM as indicated in his wall clock. Between two to…

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Q: Find the area of the rigion lies between the circles r=2 and r=4cos(theta) in the first octant.

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r= -2cose in second…

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Q: Find the Maclaurin series for f(x) and use it to approximate the integral 1+ x3 correct to 4 decimal…

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Q: Q1) Evaluate the integral S dy dx using polar coordinate

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Q: 1) y" – 10y' + 25y = 8e- y(0) = 1, y'(0) = -4;

A: Follow the steps.

Q: (1+x)-3=1-3x+6x2-10x3........ with  ex= 1+x +x2/2 +x3/6............

A: Here we use the D'Almbert ratio test.

Q: (c) Show that the sequence is eventually strictly increasing. 13 n=1

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Q: Q1) Evaluate the integral dy dx using polar coordinate

A: Solution

Q: A man borrowed 24000 from two money lenders. For one loan he paid 15% annum and for the other 18%…

A: Let x be the amound borrowed on 15% and (24000-x) at 18% Given taht total interest paid is Rs 4050

Q: Q2) Solve the D.E xy(x² + 1)dy – (y² + 1)dx = 0 %3D

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Q: 1- x dx 21 y =

A: We solve the given integral using Trigonometry substitutions method.

Q: Determine the COMPLEX fourier series from first princples. Please explain solution thoroughly e2t+2…

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Q: Let the characteristic equation of a 3 X 3 Matrix A be X3 + aX? + 47A eigenvalue of A is 4 and a is…

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Q: Solve the equation Ax = b by using the LU factorization given for A. 4 - 4 4 1 0 0 4 -4 4 - 4 A = -…

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Q: 3. Compute the product M()M() as a 2 x 2 matrix. What kind of isometry is this product? If it is a…

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Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0

A: The given differential equation is dy - 2x1-y2dx = 0

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 - y from above inside y = x? ,y = 4.

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Q: To find: the whether the given telescopic series converges or not by finding the limit of the sum of…

A: Given series is ∑k=1∞1k0.1 - 1(k+1)0.1

Q: Q5) Find volume of body bounded by z = -y? from below and z = x? from above inside y = 0,y = x,x =…

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Q: 2. Angela gets paid a salary of P4,530.00 as a preschool teacher every week. Determine her: (a)…

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Q: Q2/ Fit a second - order polynomial tó thẻ đấtă iñ the folowing ble X 6. 1 2 7 Y 8 3 4 -1 4 6.

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Q: Solve the following equations transformable to quadratic equations. A. 1. 1 -+-= x 11 2. 2 x+1 4 2…

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

Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: Give an example of each of the following: • A function f e L²(T) and a point where f(x) does not…

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Q: The value of Ss (x + z) dy dz + (y + z) dx dz + (x + y) dx dy, Where 's' is the surface of sphere…

A: Here we can use divergence theorem to find the value of the given surface integral. Divergence…

Q: Job January February March Completed Sold AA2 $2,600 $1,000 February Not sold AA4 4,837 January…

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Q: Find a set of vectors {u, v} in Rª that spans the solution set of the equations { y + 4z 0, - 5w +…

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Q: A slightly different breed of Hippogriffs, living in the Rathlin Island—the northernmost point in…

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Q: Three coins are tossed, what is the probability showing of no tail ?

A: Solution

Q: 2 -1 0 3 |, find 0 3 2 -1 1 2 If D = and E = DE

A: Matrix multiplication and operations

Q: Find the arc length of the curve c(t) (2t, 19t|) for -1 <t < 1. (Express your answer as an exact…

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Q: solve to find y and x, take y(0)=0 and x(0)-1 ý + y- 0.5x = 0.5 * + 0.5x - y = 12 %3D

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Q: = find area inside r=2cose and outside r 1?

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Q: 1. ÿ + 6ÿ + 11ý + 6y(t) = 0; y(0) = 2, y(0) = 1, ÿ(0) = -1 %3D %3D

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Q: A card is drawn from a well-shuffled deck of cards. Find the probability of drawing a King Your…

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Q: the line integral + 2x²ydy + dz) .2,

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Q: Given: A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 5, 6}, and C = {1, 6, 7}. Find: B' nC' =

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Q: Q3) Evaluate triple integral f, dz dy dx.

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Q: Q5) Find volume of body bounded by z2 + y2 + x2 = 4.

A: Given equation is z2 + y2 + x2 = 4

Q: Estimate the error in using the partial sum of 45 terms of the series k7 k=1 Error <

A: As per the guidelines I had solved the only first question.

Q: A bag contains x red paper clips, (x + 4) blue paper clips, and (3x – 11) white paper clips. A clip…

A: We have to find the value of x.

Q: Find volume of body bounded by z 0 from below and z 4- y from above inside y = x ,y = 4.

A: We have to find volume of region.

Q: Solve the following IVPS using LT method. 3) y" + 16y = 1, y(0) = 1, y(0) = 2;

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Q: Q1) Evaluate the integral S S dy dx using polar coordinate

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Q: Use truth table to establish the truth table of following 1)A conditional statement is not logically…

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) * + 2y = 3 ,y (0) =…

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Q: x+y Q3) Evaluate triple integral S S dz dy dx. x-y

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