(b) Use Gaussian Elimination to solve: X1 - 2 x2 - X3 + 3x4 = 4 2x1 + X2 + X3- 4x4 3 3x1 - X2 2x3 + 2x4 = 6 X1 + 3x2 X3 + x4 = 8 %3D (c) Determine the four fourth roots of the complex number Z = 3 - 4j, using De Moivre's theorem and express their values in cartesian form.

Q: Test for an extremal of the functional π 2 F[y(x)] = |´(y² y²)dx, y(0) = 0, y = 1 2

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Q: A. Directions: Convert the following statements to mathematical symbols. 1. John is neither healthy…

A: 1., Let h be "John is healthy", w be "John is wealthy" and v be "John is wise".The given statement…

Q: I Example 10.31. Given y" + xy +y = 0, y(0) = 1, y(0) = 0, obtain y for x = 0(0.1) 0.3 by any…

A: Here, we need to use Milne's method to solve this problem.

Q: Problems: 1) write the augment matrix to the following systems then find the solution: x- y+z =1 a)…

A: An augmented matrix for a system of equations   is a matrix s in which each row represents the…

Q: Calculate the sum of angles 1, 3, and 8 in degrees. [Image 22 21 3x +7 42/23 B. 2425 6/4x + 5…

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Q: I Example 10.18. Using Runge-Kutta method of fourth order, solve for y at x = 1.2, 1.4 dy. 2xy + e*…

A: Given y' =(2xy + e^x)/(x² + x e^x), initial point y(1)=0 To find y(1.2) and y(1.4)  Let step size h…

Q: Find the Laplace transform of: 1. f(t) = e(3t-7) cos³(6t) 2. f(t) = v1+ sin t + (7t)14 + t² sin 2t…

A: According to rule of bartleby we can solve only 1st question if you require rest of others then…

Q: Determine whether the series (-1)*-1 . converge, diverge absolutely or k³ +4 k-1 converge…

A: Convergence of the series

Q: Solve: *+rtand cos 0

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Q: Use Euler’s method with step h=1/4 to approximate the solution [0,1] C) Find global truncation error…

A: The differential equation given is as follows: y'''-y'=t The initial conditions given are as…

Q: Find the general solution: (x² D² + 6xD+6I)y=x². Select one: O a. y = a2 %3D 20 O b. y = (c1 + c2…

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Q: Find the minimum value of q(x) = x" x subject to the condition ||x|| = 1. %3D Select one: O A. 2 -…

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Q: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2. if at any point (x, y)…

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Q: . There are seven finalists for the Math contest, and medáls Will be giv many ways are there for the…

A: The act of organizing items or numbers in order is known as permutation. Combinations are a method…

Q: Example 10.19. Apply Milne's method, to find a solution of the differential equation y = x - y in…

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Q: Q5b A European call option with strike £60 costs £6. A European put with the same strike price and…

A:

Q: A five-member committee is being formed from a group of 9 sophomores and 12 seniors. How many…

A: Given a group of 9 sophomores and 12 seniors. We have to way formed five-member  committees…

Q: Q2/ Analyze the functions below using the fourier series: ーTくx<0 0, f(x) = {ェーX, TT - X, 0s x< T

A: Let us consider the function f(x) in the interval [-L,L] The Fourier series of the function  is…

Q: Solve the given initial value problem. 7 2 x'(t) = x(t), x(0) = 27 x(t) =

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Q: M. Solve each of the : A card is drawn from a standard deck of 52 cards. Find the probability that…

A: Solution

Q: I Example 11.7. Solve by relaxation method, the Laplace equation 0, inside the square bounded by the…

A: We need to use relaxation method to solve given problem.

Q: - V hence V.

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Q: telephone service representative believes that the proportion of customers completely satisfied with…

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = x² +1, y =…

A:

Q: f birth? (Use a calculator when necessary) day: month: year (two digits only): my birth date is…

A: To find the age when the date of birth is given as 2nd of  June 2001 We calculate the age from the…

Q: H.W: Evaluate the integral 3 0 0 1 1. Jaży – 2xy)dydx 2. (x + y + 1)dxdy 0 -2 -1 -1

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Q: 14. A box with 12 articles contains one that is defective. In how many ways can Martin select 5…

A: Given: A box has 12 articles such that one of the article is defective.

Q: x2 Consider the surface T with equation 4 (y – 3)² + 22 = 1. - 3

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Q: SHOW COMPLETE SOLUTION. THANK YOU! Using Newton Method : y = x - cos(x) on [0.0 , 4.0] for eps =…

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Q: p = 600 – 0.05.x, - < 12000, where p denotes the wholesale unit price in dolla ty demanded. The…

A: (a) The revenue is given by  R(x)=demand ×price=x×600-0.05x=600x-0.05x2 Therefore  R(x)=600x-0.05x2…

Q: 4. Prove that the vectors a= (1,1,1); b-(1,-1,0) and e-(-1,-1.2) are orthogonal to each other! 5.…

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Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: 9. : (y²dx + x²dy) = 0 (x – y)²

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Q: Using Newton and Secant Method  y = x - cos(x) on [0.0 , 4.0] for eps = 1.0 e-6. Initial point is…

A: Newton Raphson Formula  xn=xn-1-f(xn-1)f'(xn-1) Secant method Formula…

Q: 16. Determine the following integrals: (a)Scos 8.xdx. S sin" x.cos.xdx (b)? sec² xdx (c) (d)Se*dx

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Q: 19. Find the domain and range of f(x) = 2e-x +1

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Q: Example 11.11. Find the values of ulx, t) satisfying the parabolic equation :4 at and the boundary…

A: Here we need to find the values of u(x,t).

Q: Prove that the only homomorphisms from Z to Z (Z being the ring of integers) are the identity and…

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Q: (y – 3)2 Consider the surface T with equation 4 + 22 = 1. %3D 3

A: We will identify standard  equation of type of quadratic surface by comparing   with given equation…

Q: 3. х — + 6у %3D 3хуз dx

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Q: Using the answers obtained in getting the LU decomposition, solve the following system of equations.…

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Q: 3. The GCF of any two distinct prime numbers is 1. (Distinct they are not the same number) means

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Q: Example 10.33. Applying Euler's method to the equation dyldx = Ay, given y(x) = yo %3D determine its…

A: Here, we need to use Euler's Method to solve given problem.

Q: dy Plot the slope field for the differential equation = y2 – x and sketch the solution for the…

A: we will find equilibrium solution curve and then decide region for positive and negative slopes to…

Q: Let P2 be the vector space of polynomials of degree 2 or less. Consider the following two ordered…

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Q: spade. L A card is drawn from a standard deck of 52 cards. Find the probability that it is a red or…

A: Total number of cards in a deck is always 52. From the deck to 52, the number of red cards are 26.…

Q: Rowena would like to invite 7 friends to go on a trip but has room for only 4 of them. In how many…

A: Here we can use combinations to find the required number of ways. We can choose r things out of n in…

Q: The region bounded by the given curves is x = (y – 2)?, x = 1; about y = 1 %3D

A: Given: Curve x=(y-2)2, x=1. To find : Volume of resulting solid by any method about

Q: The half range cosine expansion of f(t) = t+ t, 0<t<1 is 22 f(t) + 6. S[2(3(– 1)")] cos (nnt)/n´n 22…

A: Half range cosine series expansion

Q: Calculate the sum of angles 1. 3, and 8 in degrees. [Image 22 L 41/3x+7 . 22/23 24/25 6/4x +5 B…

A: