1. Solve the linear system using Jacobi and Gauss-Seidel Method 2æ — y=2 x - 3y +z = -2 -x+y=3z = -6 2. Solve the non-linear system x² = x+y=0.5 - and x² - 5xy - y = 0 using initial values x0 = 1 and y0 = 1

Q: Find the cofactor of -3 in the determinant 1 44 -359 2 12

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Q: 6. Setting æ = cos 0 show that T,(x) = [(r + VI– a²)" + (x – v1- x²)"]

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Q: Express e

A: Given: An expression ez=-2 We have to express the given equation into a+ib form.

Q: If the RREF of A|I is I| B, then AB is the identity matrix. A True B False

A: We have to check whether the given statement is true or false.

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Q: zu +16n + 20.

A: Given: An expression n2+16n+20 To find : All possible remainder when it is divided by 11.

Q: 3+j4) (2-j4) In ( (final answer should be in rectangular form)

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Q: Suppose the only solution of AX-B is the zero matrix (A is nxn and B is nx1). Then the RREF of A | B…

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Q: Direction: For 1 and 2, find an equation of the tangent line to the graph of the function at the…

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Q: Find the rate of change of the function fin the direction of PA. Also find the maximum value of that…

A: The given function is f(x,y,z)=(x+z)2+3 yexz-z cos(xy). To find: rate of change of f in the…

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A: Here Given that, The underground temparature, a basis for geothermal energy,can be approximated…

Q: 2. (- 5 i 3-2i,

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Q: 6. Find the intersection of the line / and the plane 1:ř=(4,-1,4) +t(5,-2,3) 14 2x+5y+z+2=0

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A: We know that the line integral of a vector field is path independent if the vector field is…

Q: I- 100 (s+10) (s+20)

A: Inverse Laplace transform

Q: Find the cofactor of -3 in the determinant A -4 B -3 -5 4 144 -359 2 12

A: The cofactor of -3

Q: f(x) = [x • 2] X f(x) Чт + f(x) Х X

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Q: Determine the laplace transform of f(t) = sin8t sin 6t

A: We find the Laplace transform of  f(t)=sin(8t)sin(6t).

Q: Find the lapla

A: Given,              f(t)=t2sin(2t)

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A: The given expression is: y-7 The negative exponent a-n can be expressed as 1an. Hence, the given…

Q: Σn=1 (-2)²n nn a. Converge b. 0 c. Diverge d. Absolutely Converge is b O d O a C O

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Q: Find the area under the curve using intervals of .5 Find Left and Right Endpoint Area units (X) each…

A: Introduction: The formula of the area of the function y=f(x) using left-endpoints is given by,…

Q: Solve the following equations:* (D²+1)y sec² x csc x =

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Q: Show that if t: V → V is a self adjoint lineur transformation on a inner Product space V. every…

A: Given :  t : V→V is a self adjoint linear transformation on an inner product space V. To prove :…

Q: (-√6 + i√2)

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Q: پر پرده .G Vqx dy dx ( 1+ x 473/2 (۹۰)

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Q: 4 a Evaluate In 3. b On the axes below, sketch the graph of y = lnx 3 2 1 X -3 2 3 -1 -2 -3 с i The…

A: Solution :-

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Q: Given a surface z = 9x² - y². (a) Find the volume of the solid lying under the surface and above the…

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Q: 11. Touching all vertices in a graph without repeating or picking up your pencil and starting and…

A: 11. Option A) Euler trail is the correct answer.  12. Option B) Euler tour is the correct answer.…

Q: the Intermediate Value Theorem to show that x - 2 has at least one root in the interval [- 3,0]. the…

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Q: Compute and graph all the roots in the complex plane following the format.   a. the value of x and…

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Q: can you continue with e and f please? following the same ball scenario

A: Solution

Q: Consider the Relmann sum for f(x) = x² + 3x over the Interval [0, 8] (see figure), where x₁ = 0, x₁…

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Q: Fint the volume generated by revolving the area bounded by y= x^2 + 1, x=0, x=2 about y=5

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Q: Find the centre of mass of the 2D shape bounded by the lines y = +1.5x between a = 0 to 1.5. Assume…

A: We will draw the figure and use integral to find mass and moment .Then will find center of mass

Q: ADVANCED MATH (NO LONG EXPLANATION NEEDED. RATE WILL BE GIVEN) FILL IN THE BLANKS. If A and B are…

A: Determinant of AB

Q: If A and B are inverse of each other, the determinant of AB is

A: Determinant properties are used

Q: A 68 year old retiree has a pension savings of $40,000, a 401k of $63, 000, and an IRA account of…

A: Given,Relevant information as per the requirement is-Amount in IRA account =$59,000The penalty from…

Q: 2. Let A be a 3 x 3 matrix. Assume 1 and 2 are the only eigenvalues of A. Determine whether the…

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Q: dy/dt = (1 + 4t) sq rt y Solve the problem (a) ANALYTICALLY (b) EULER'S METHOD (c) HEUN'S METHOD…

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Q: Suppose A is a 10x10 invertible matrix. Then A is row equivalent to the 10x10 identity matrix. A)…

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Q: =[12] and U- = -[] Then A2017U is equal to -1 Let A =

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Q: ADVANCED MATH (NO LONG EXPLANATION NEEDED. RATE WILL BE GIVEN) (TRUE OR FALSE) Suppose A is an…

A: Invertible symmetric matrix

Q: *+iy (excluding the stagnation 3. Let F(x, y, z) = (0, 0, a) and let S be the portion of the…

A: Using parametrization and Stoke's theorem

Q: 8. The matrix difference equation p(t + 1) = Mp(t), t = 0, 1,2,.. with the column vector (vector of…

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Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. What is the percent…

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