Solve the problem. If u = 10i - 2j and v = -5i + 8j, find u + v. %3D 15i + 4j 5i + 6j -15i + 6j 4i + 6j

Q: Which is NOT a solution of V2- i ? C. -0.4717 + 1.2196i D. -0.8204 – 1.0183i A. 2.2094 0.3442i B.…

A: To find the nth root of a complex number we have to use de'Moivre's formula :…

Q: ) Use the d'Alembert solution to solve = 2 -00 0, 1 u(x, 0) = e, u(x, 0) : 1+ x2*

A: As per our company guidline we are supposed to answer only first question. Kindly repost other…

Q: Determine the values of the variables to satisfy the equation using Jacobi. 5a - 2b = 40 Ans. a =…

A: Given: Using Jacobi, find the values of the variables to fulfill the equation and the given…

Q: 1. (2х — 5у + 12)dx + (7x — 4у + 15)dy %3D 0 |

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Q: . Apply Gauss-Jordan method to solve the equations x +y +z = 9; 2x - 3y +4z = 13 ; 3x + 4y +5z = 40.…

A: given , equations  x +y + z = 9 2x -3y + 4z = 13 3x + 4y  +5z = 40  apply gauss jordan method

Q: Solve the formula for c m 6h %3D C =

A: Given:       To determine: Formula for c

Q: Find c such that the equations below have no solutions. x + 2y = 1 cx + 10y = 4 Then c =

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Q: Find a particular solution of (15) y′′−3y′−4y=−8etcos(2t).

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Q: Determine the values of the variables to satisfy the equation using a) Jacobi and b) Gauss-Seidel.…

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Q: Show answer clearly.

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Q: The solution of y' e'+V is e-Y = - e'+ c Select one: True O False xam

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Q: Evaluate both sides of the following equations and state whether they are true or fal 15(2)j² =…

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Q: Given c(m) = m - 2m +4m-8, the solution of c(m) = 0 is 1) t2 2) 2, only 3) 21, 2 4) ±2i,2 %3D

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Q: Use the char. Method to solve: 1 u = (p² +q²) + (p- x)(q-y), where u(x, 0) = 0 %3D

A: Given PDE is u=12p2+q2+p-xq-y,  where ux,0=0. We can write it as f=12p2+q2+p-xq-y-u, then using…

Q: In Problem,find ||v||. v =5i + 12j

A: Given :                     v = 5 i + 12 j To find :                    v

Q: find the general solution. 18. у" + 2y' — Зу %%3D —16хe*

A: We need to find the general solution of y"+2y'-3y=-16xex. The solution is given below.

Q: Solve the following System of Equations using the Elimination method. 4x +3y = 10 -4x + 5y = 6 %3D…

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Q: Using the method of separation of variables, find the solution of the following equation: = u, given…

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Q: If yo is the solution of the equations xy' + 3y = x, y(1) = 2, %3D determine the value of yo(2).

A: Given a first-order differential equation,                             .....(1) condition  y(1)=2

Q: What is the general solution of the given DE in terms of u and v? (2х + у — 4)dx + (x — Зу + 12)dx —…

A: Given differential equation is (2x+y-4)dx+(x-3y+12)dy=0

Q: The general solution of y" -3y'- 4y = 0 is |3D Select one: O a. Ae4z + Be * O b. Ae 4z + Be O c. Ae…

A: Write the characteristics equation of this differential equation. Use the characteristics equation…

Q: I am needing help with the question in the attached image.

A: The correct option is option (a). First of all, consider the given equation. Solve the equation to…

Q: 18. Do the columns of B span R4? Does the equation Bx = y have a solution for each y in R4?

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Q: Solve the ff. equations using Jacobi Iteration method. 4x + y + z = 7  x - 7y + 2z = -2  3x + 4z =…

A: Given linear system of equation is: 4x + y + z = 7  x - 7y + 2z = -2  3x + 4z = 11  From above…

Q: Use drawings as needed to answer the given question

A: Consider the given equations, AM=2x+1, MB=3x+2, and AB=6x-4 now, from the given figure the value of…

Q: Using Cramer's rule to solve Зх + у + 42 - 2х + Зу - 2z x - 3y – 27 = -8 %3D 11 %3D 4 for y, we…

A: Consider the given information. 3x+y+4z=-82x+3y-2z=11x-3y-2z=4 Now, make the matrix D, according to…

Q: Solve the initial plem - 6v + 25y = 0. v(0) = 2.

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Q: If A = x° yz? î – 3x² z³ j + yz? k , then a² A at the point (1,0, 1) will be дхду 3 î -3) -3 î

A: The vector A is A=x3yz2i-3x2z3j+yz2k find ∂A∂y=x3z2i+z2k ∂2A∂x∂y=3x2z3i the point 1,0,1…

Q: Using a suitable substitution, solve z* + 3z2 – 28 = 0, qu x lo 219wog - (ahem A) where z E C

A: Given equation is        z4+3z2-28=0 , z∈ℂ We will solve this equation by suitable substitution.

Q: 5x- 2y +3z -1 -3x+9y + z = 2 2x- y-7z = 3

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Q: Show answer clearly.

A: Given vectors are

Q: Evaluate both sides of the following equations and state whether they are true or false 15(2)j² =…

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Q: Which of the following systems of equations has imaginary numbers as solutions? A. (x + у %3D 3 { v?…

A: Option C is true.

Q: What is the general solution of ху(ху5 - 1)dx + х?(1+ ху)dу%3D0 ? A 2x°y³ - 3x² = Cx? B 2x?y5- 3x? =…

A: Solution: The given equation is  xy(xy5-1)dx +x2(1+xy5)dy=0

Q: Solve each equation for 0 s 0 < 2n. 1) 2v2 = -4sin 0 %3D 5π7π A) 4 4 B) 4 3π 5π C) 4 5T D) 4 हर ै 4-

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Q: lect the solution(s) of 2 =1– %3D I+3

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Q: : Solve by using Separation of variables method? E= k a²u for 0 0 u(0,t) = u(L,t) = 0 for t > 0,…

A: According to the given information, it is required to use separation of variable to solve the given…

Q: Solve the formula for c. 1 W C. %3D

A: Given  1m+1w=1c We have to solve the formula for c.

Q: Solve by the addition method: 4x+5y+: 12 %3D 3D 2x-y+2: = 17 %3D x+2y+2= O A. (2, –1, 9) O B. (4,…

A: Given: The system if linear equation as  4x+5y+z=122x-y+2z=17x+2y+2z=11 To find: The solution of…

Q: (d) Represent the following simultaneous equations in the form: Ar = b, 3.r1 + 2r2 + x3 = 13 , x1 -…

A: Given system of simultaneous equations  3x1+2x2+x3=13x1-3x2+2x3=-52x1+x2+3x3=10 we have to represent…

Q: B. Jse Gauss-Jordan method to solve the following simultaneous equations: K+3X2=2X, K2-3X+X=8…

A: We have to solve the given system of linear equations using Gauss -Jordan method.

Q: Solve the system of LDES below. Find: a + b +c + d. 9, -2 - z; z(0) || 4 8. a cos 2t + b sin 2t…

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Q: Solve the problem. If v = 3i - 5j and w = -7i + 4j, find 3v - 4w. -4i - j 17i - 10j 37i - 31j -19i +…

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Q: Solve the following equation uxx + Uyy = 3x - 5y with the conditions for the square plate u(0,y)=0…

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Q: Use the Gaussian elimination to solve the following equations, so the variables X and Y are. ****…

A: Given equations, 8x-4y+4z=12,-6x+3y+3z=9,2x-y-2z=-6

Q: 2y" — 12" + 4у' + 72у %3D 0

A: Given ode is homogenous. We will find root of this ode then we write solution.

Q: Find the values of the unknowns using any method applicable. 5а + 2b — 6с+ 4d — е %3D 6 2а — b — с —…

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Q: What is the general solution of the given DE in terms of u and v? (2х + у — 4)dx + (х — Зу + 12)dx —…

A:

Q: Determine the values of the variables to satisfy the equation using a) Jacobi and b) Gauss-Seidel.…

A:

Q: Find ( ax b) x eif a-i-2j-3k, 6=2i +j-k, Q2. c=i+3j-2k.

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.