2. Determine the products C = AB and D = BA if %3D %3D 4 61 -7 A = 1 -5 -1 3 -5 2 %3D -9 --13 -4 7 6 -3 11

Q: Under what conditions is yb+6c perpendicular to a? What does this say about the coefficients of b…

A:

Q: Find the value(s) of k for which the system х + ky %3D 4 kx + 9y = 6 has a unique solution. 5.

A: Given system of equation is  x+ky=4kx+9y=6we have to find value of k such that this sysetem has…

Q: Find (X,Y,Z) by asing Gauss Elimination Mcthod. +X -2Y +Z =0 +9Z z -9 ー4 +5y -82=9 +5x -7y +24 一

A: The given equations are,x-2y+z=0-4+5y+9z=-95x-7y-8z=92y-8z=8The equation can be written…

Q: AND DRAWING ○コ= 2x-7 「メナ3 %3D x²-16 3. S-Jメ+4 + (3-x H-w

A: Given function is, y=2x-7x+3 The function is well defined, when x+3>0⇒x>-3 So, the domain is…

Q: c b+2c q – 3p r q+ 2r z y+2z арх b - 3a | If det b q y = 5, compute det %3D - 3x -

A: See attached file for a step by step explanation

Q: 13. (10x - 45)" M mMN = %3D mNP = %3D Q MNQP %3D (бх - 1) R.

A: As per guide line we have to solve only one

Q: Find a particular solution of (19) y′′−3y′−4y=3e2t+2sint−8etcos(2t).

A:

Q: Find the particular solution of y" + 3y' + 2y = -9sin x + 23cos . ||

A:

Q: Find |A|, |B|, AB, and |AB|. Then verify that |A||B| |AB|. %3D -3 1 В - 1 A = 9 -3 -1 (a) |A| (b)…

A:

Q: (a) Find h(-2), h(0), h(2), and h(3). h(-2) = h(0) %3D h(2) h(3) %3D (b) Find the

A:

Q: Consider the system Ax = b, where 5 1 A = 1 6 2 b = | 2 -1 -1 7 Calculate T; and cj.

A:

Q: () 3. If ATy= has a solution and A -2 0 then %3D 1 %3D O a. a = 0.5 O b. a=-2 O c a = -0.5 Od. a=2

A:

Q: Solve: 2cos?0 + VЗсos® 3D 0, for 0< 0 < 2л. I 5n 7n 3n A. `2' 6' 6 5п Зп 11л С. 6 6'6'2 3 B., T, D I…

A: If a×b=0, then using the zero-factor property, it can be written that a=0 or b=0.

Q: Which of the following is the solution to y" – 5y' – 24y = 0 %3D a) y = Ae-3x + Be-8x b) y = Ae3x +…

A: To find the correct solution, we will all options one by one (a) y=Ae-3x+Be-8x    →(1)…

Q: What is the product solution of the PDE ax = 0 ? ay a. Ae*+y b. Ae*-y c. Ae(x+y)k

A:

Q: 5а + 2b — 6с + 4d - е 3D 6 2а - b — с — d — - 1 3b + 3c + d = 0 %3D 3a + 4b – 1.5c + 5d + e = 4 a +…

A:

Q: 4. If y = 3', express each of the following in terms of y: %3D (a) 3**1 - 3*- 1 (b) 32x +1 + 3*- 2…

A:

Q: Find the general solution of 6y"'+y"-15y'=0 3x 5x A y=c,+c,e 2 +Cze -C, 3x 5x B) 2 y=c,e 2 +c,e 3x…

A: Roots are real and distinct.

Q: If h'(3) = 5 and h'(1) =-1, then h"(x)dz %3D (A) -6 (B) 4 (C) 5 (D) 6

A:

Q: 1 /2 3 7 . m<3 = (x + 40) m<5 = (x- 40)° m<6 = (y)° %3D %3D %3D UD 00

A:

Q: 1 If y = ex , then y equals - 2x A y3 - 2y B 2y D none of the given choices 2x E y3

A: we will use logarithm to solve this.

Q: Find x, y, z, and w. х 1 (2х - 1) (2x - 2) 3 %3D у 9 9y 4 (w + 1) (8y + 4)

A:

Q: Find a particular solution to y″+36y = 60sin(6t).

A:

Q: -4 -3 2 -1 -1 4 -2. -3+ y = x2 - 4 A y = x2 - 4x y = x'- 4 y = 23 4x - ©2021 Illuminate Education…

A: our answer is y=x3-4x

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: B. C. = X %3D Find x and mZBDC. 6. MZADC = 116°, m2 ADB = x, m² BDC is 3 times bigger than mZ ADB.…

A: 5. Given m∠ADC =5x-20 ,m∠ADB=x-4 and m∠BDC =x+5

Q: Question 4 If + 3x + 6a2 + 12x°+... %3D then C equals 11 8. 19 8 -2 19 11 215 2/5

A:

Q: Given u = 2 + 3i , v = 1 - 2i , w = -3-6i

A:

Q: If y = ex, then y equals 2x (A - 2y В +3 C) none of the given choices - 2x D E

A:

Q: Solve the following systems of equations by graphing. X + y = 2 2x + 4y = 12 O (-1, 5) O (1, 1) O…

A:

Q: 4. Find the solution of the following DE: a. y(5) + 5y(4) + 10y(3) + 10y" + 5y' + y = 0

A: Given differential equation is: y5+5y(4)+10y(3)+10y''+5y'+y=0 Write auxiliary equation corresponding…

Q: (B): If A = 2t + 3j-4k; B=3i-4j+5k and C=i+j-k, find: (1)Ã.B (u)B.C (U)Ã. (B+C)and (A + B). (iv)…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: 1 If y = ex , then y equals (A none of the given choices – 2y B) x3 2y x3 - 2x y3 2x E) y3

A: To find y'

Q: 1 = 10, b = 8 and h = 5, find the values of %3D %3D %3D 1 xb x h (ii) 2h (1 + b) (iii) 2 (lb + bh +…

A: Putting values in the formula

Q: Зх +1 4y 6y - 4 AB = %3D DC = 7x - 23 AD = BC =

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

Q: Find the solufion to the system 4メ -3y +32 =O スメ 3y + 22=0 6メ - 12yt7Z =O 3D0

A: Explanation of the answer is as follows

Q: 25. Solve the following system of equations: 3x + 5y =-7 14x-9y 32 %3D %3D O (2,1) O (1,2) O (1, -2)…

A: Givn that, Two linear equation are following, 3x + 5y = - 7…

Q: Solve the following system of linear congruences: х 2 тоd 3 х 3 тоd 5 х 2 тоd 7 3x 7 тоd 8

A: For the solution follow the next steps.

Q: 5- Find the general solution of ry +2y' = 6x* %3D %3D + C2 b) y(z) %3D D + 을 + 02 c) y(z) %3D + 을 +…

A: This is second order linear ordinary differential equation.

Q: Consider the following IVP: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b Find the solution. A y(x) =…

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

Q: If у %3D x(x2 — 5)2, A. 60(x2 + 1) then y у " is В. 60 (х2 — 1) С. — 60(х2 — 1) D. – 60(x2 + 1)

A:

Q: What is the product solution of the PDE-= 0? Bxe ay a Ae*+y b. Ae y C. Ae+y)* d. Aex-y)* e. None of…

A: We have to solve given problem:

Q: Determine if the given DE is a solution of y" + 2y'+y x y(x) = 1

A:

Q: If |zı| = 1, |z2| = 2, |z3| = 3 and [9zīz2 + 4z]Z3 + Z2Z3| = 12, then the value of |zı + Z2 + Z3] is…

A:

Q: 3. -9 12 -5 31. -3 6. -8 -5 7 15 -6 4. -2 1. -5 3. 2-3 find (BA) = At B %3D r テ M 614 「Cで

A:

Q: Find a particular solution to -14.5e-3t y" + 6y +9y 12 +1 Yp = %3D

A:

Q: Find the pivot in the tableau. x1 x2 x3 x4 X5 2 이 48 이 32 1 4 1 4 1 -1 -3 -2 O A. 2 in row 2, column…

A:

Q: H.W:- Selve The lincar SysTems O1.7X-3 O 1.7 3.2y= 8-1 0.4x+ 112y= -2

A: The solution to the system of equation is defined as the values of the variable that satisfy the…