Solve the equation Ax b by using the LU factorization given for A. %3D 3 0 15 0 0 0 0 1 3 1 1 2 0 10 b% = 0 0-3 0 -3 -4 A = 0 2 -39 10 3 3 -20 2 -2 1 0 12 -5 -2 -12 41 - 5 4 -1 1 0 0 0 1 - 42 Let Ly b and Ux =y. Solve for x and y. y = X =

Q: X+y+ 2 =3 Z = 3 X+5y- 2x +2y-42= 3 %3D %3D

A:

Q: Solve: 7x -9x%3D 2x-5 5-2x O A. x= 3 O B. x=-,-3 OC.x=--3 O C. x=-. D. x=--,3 E. None of the above 6

A:

Q: Зх-1 4x +1 %3D 6. 4

A: Taking LCM and cross multiplication

Q: If x + y = 4 and xy = 2, find x² + y² %3D

A:

Q: The variable s varies jointly with t and u such that s = 7 when t = 4 and u =3. What is the constant…

A: Given that the variable s varies jointly with t and u such that s = 7 when t = 4 and u =3. We need…

Q: XI VGo-2IX =8 60-21X

A: Given,          x-60-21x=8

Q: H.W. Solue the followi'ng 3. px+9y

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

Q: Solve for x: 2log 2(2 x)=5 O A. 0 В. 1 C. 2/2 O D. 16

A: 1A.32 The given logarithmic equation is To find: x

Q: 3. Let b vary directly as a. If b = 80 when a = 20, what is the equation of variation?

A:

Q: Which of the following gives the correct solution(s) for the equation 2x = r - 4 ? O A. no solution…

A: Given equation is 2x=x-4. Taking Square on both sides, 2x2=x-422x=x2-8x+16x2-10x+16=0

Q: Solve V 3y+1 = 7

A: Here we have given one function 3y+1=7 and we have to solve the given function

Q: %3D How far is the point (-2,-3) to the line with the equation, 5x 12y? 46 /13 O2/13 O 2 01/2

A: We will find the distance.

Q: 10. y'- (у -у?) соos x%3D0

A:

Q: x°+3x Find y". y 3= %3D

A: Given function: Simplifying:

Q: d'y If xy + y' = 1, find the value of at 2 dx (0,1). %3D

A:

Q: Q2. If f =+ then of and ду of

A:

Q: pa 1. 3. y = ; y(3) = ' 7. 4x x = 1, find y when x = 3.

A:

Q: 3. (x* + 2)(x – 10) = Colve for "X": 2 4. Y= x -

A: Given that

Q: 7. If y varies directly as x, and inversely as z, and y = 14 when x = 6 and z = 8, find x when y-26…

A:

Q: Find hCz) given 3 h(2) 3+8, %3D

A:

Q: Solve the Syatem using augmented Mataix M. +3z = 1 %3D 2x 3D3 %3D

A: Given: x+y+3z=1            2x+3y-z=3            5x+7y+z=7To find the solutions: using Guass…

Q: -10x Given an equation x3 – y3 = 5, show that y" %3D y5

A: We will show the given statement.

Q: 5. y°(2x² + y?) = c². RESP. y? = 2x² In Įkx|.

A: We will find out the required general solution.

Q: Solve for x in 7-3x=2x-3

A: We need to solve for x in 7-3x=2x-3. The solution is given below.

Q: If f (x) = x? +1 and g (x) = vx + 2, find f o g. %3D

A: topic - functions

Q: 4. 5 1 y 5 1.

A:

Q: Solve for x. Be sure to show all work. 5 2. 3.

A:

Q: 3.) Solve F = 2C+ 32 for C %3D

A: Given :F=95C+32

Q: Show that A and B commutes: * 2/3 -1/31 1/5 7/15 -1/5 1/15. 1 1 0. 21 1B =|-3/5 2/5 2 4. 3 %3D -1 ]

A: Given A=112231-124, B=230-13-352515715-15115

Q: 1. Solve for x. Find all real solutions. Vx + 10 – 4 = x %3D

A: Given equation:

Q: 10. If CD = 5x – 2 and AB = 2x + 18, find %3D AB B.

A:

Q: 4. 2(x + 4) = - 4 5. -3( x + 4) = 15 6. 4(2х + 3) + х%3D69 7. 2x + 3x + 6 = 31

A:

Q: Solve algebraically forx, and y a. x2+ y2 25 x+y= 1 b. y2-x2 16 3x + 5y 16 %3D

A:

Q: 15. If y3 – xy = 5 ,1 d²y then dx2

A: y3-xy=5

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.