How we get this formula: エ= 2n, n2 by using these relationsi (1-n2T) (1-hizt) miz=m+mz, I=

Q: Prove that equation x2 + 2x +1 + y² = 0 has only one solution: x = -1 and y = 0. Individual steps of…

A: You just need to order the steps. The solution is given below.

Q: у %3D — х? + бх — 3. - - O y = -(x – 6)2 – 3 %3D | O y = -(x - 3)² + 6 %3| O y = (x – 2)² + 10 O y =…

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Q: sten Find the Multiplicity and value for x: a) = (3x + 9)° (2x – 11) (4x – 28)“ - X- values are 3, E…

A: To find the multiplicity and the value for X.

Q: 5 13 7 Z = 6 -6 -8 -7 2 11 Find the Cofactor of Z, 12 a. 11 b. 26 с. -11

A: Given the matrix

Q: Solve V²u = 0, a <r < b, 0 < 0 < 2n, U, (a, 0) = f (0), ur (b, 0) = g (0), 0<0< 2m, where | f ds + |…

A: We will use the general solution to the 2d Laplace's equation in polar coordinates and apply the…

Q: 2. If the quantities x and y are related by the equation y  3x,then we say that y isto x and the…

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Q: Write z -5- iz + 3i in a + bi form . (r-y-5)+ i(3–x-y) (r+y-5)+ i(3 – x +y) (r + y + 5) + i(3 – x…

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Q: EXER 3.2 - LINEAR ALGEBRA Write v =(4,4,5) as a linear combination of x=(1,2,3), y =(-2,0,1) and z =…

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Q: There are several possibilities of solutions for L, a, and w: w2sin(wt)+L=49sin(at)+3 The…

A: Given that  w2sin(wt)+L=49sin(at)+3 Compairing the like term we have  w2 = 49 w=a L=3

Q: i. y = xv iii. x²-4 %3D х+3 y =

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Q: 2-j5) Show that JA -25 (1+j2 \3+j4 = 57 + j24 - 2

A: the given equation is -2521+j23+j4-2-j5-j=57+j24 consider Left hand side…

Q: X - 3 in x2-4 (-00,-2)U(3,0) .a (-2,2) U (3,0) .bO (-0,-2) U (2,3) .cO (-2,2)U(2,3) .d

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Q: (a) Show that y-C, + C2 2* – k is a solution of ya+2- 3yk+1 + 2y% %3D

A: Given difference equation, yk+2-3yk+1+2yk=1 To show that yk=C1+C22k-k is a solution of above…

Q: 8²z 8. If z = x + y Inxy, show that x- 8 z + x² 8²z 8y² 8x8y

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Q: d) an = 2an-1 - 3, ao = -1 e) an = (n + 1)an-1, ao = 2 f) an %3D %3D = 2nan-1, ao = 3 %3D

A: 16(d) Given recurrence relation an=2an−1−3 and a0=−1 We have to find the solution of the given…

Q: #5. Alfred collects black and brown socks but loses a lot of them. If 60% of all his socks are…

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Q: P(x1, #2) –X2, Q(x1, x2) = x1; D = {(x1,x2) :0 < x1 < 1,0 < x2 < 1}. = -

A: Note : " As per our guidelines we will solve only first question . If you want any specific question…

Q: Using convolution theorem, find 2s L-1 (s² + 4)² J

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Q: + 5(7+ j2) 3- j4 QII Simplify (2+ j5)} -j(4- j6), expressing the result in the form x+jy.

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

Q: 3s - 2s2 - 3s + 2 = 0 has solutions 1, -, and -1. O True O False

A: First we find a solution to the given equation by guessing, and then we find the remaining solutions…

Q: 3 - 2 If A = 0 4 1 then the cofactor C23 = -2 3

A: We can find the co factor as below.

Q: 2x2y''+3xy'-y=0 , x>0 y1(x) = x1/2  y2(x) = x-1 Show that y1 and y2 given above form a basic…

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Q: 3 -2 0 If A = 0 then the cofactor C23 = 4 1 -2 3

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Q: a?u 2. Solve 0, 0 < x < T, 0 <y<n, + и(0, у) %3D 1, и(п, у) — 1, 0 < y< n и(х,0) — 0, и(х, п) — 1, 0…

A: Solving

Q: Find positive integers that satisfy x + y + z = 6 x + 5y + 8z = 35 x = i ! y = i

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Q: 5/ (2xsin x +3cos y)dr- 3xsin ydy = 0

A: Please rate.  Exact differential equation

Q: x-1 22 Px,y (x, y) = 36 1 y-1 For x, y E Z†, 1< x < y, otherwise 0 a) Verify that this is a valid…

A: Given Information: Let X and Y are random variables with joint probability mass function.…

Q: Let X=(1,0, – 1, - V2). Then, ||X||1= Select one: a. -1-V3 b. C. -/3 o d. 2+V2

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Q: 5. Find the General and Particular solution of Зу ; у%3D 3, when x 3D 0 %3D 业

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Q: 3cos(2x)=3cos^2(x)-2 for all solutions 0≤x<2π

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Q: Z₁ = 5x₁-x2 Z₂ = x₂ + 2x₂ x₁ = y₁ + 2y2 - Y3 x₂ = y₁ - y₂ y₁ = 2w₁ y2 =W₁-W₂ Y3 =W₁ - 5W₂ Show that…

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Q: 2. 4. then the cofactor C23 ISA= 2 3. 30

A: Given, A=3-20041-203

Q: Find an explicit solution for y′ = ye^−x^2 , y(0) = 1

A: The given differential equation is y'=ye-x2 and the initial condition is y(0)=1. Simplify the given…

Q: a) An increase of 1 in x, leads to a change in y of b) An increase of 2 in x, leads to a change in y…

A: Regression Line y = 21 + 10x1 -4x2 +2.9x3 +e

Q: Q3/ If Ā = -3i + 2j + 5k, B = i + 2j - k and C = -i-j-2k %3D find (AXB). C

A: Let's see the concept of dot and cross product. Say xi+yj+zk and ai+bj+ck be two vectors.

Q: If z1 = 2+ j3 , z2 = -3+ j4 and 23 = 5 – j %3D what is the simplified form of 21+23

A: The general form of a complex number is given by z=a+jb, where a,b are two real numbers and j=-1. In…

Q: 5(7+ j2) Q1\ Simplify (2+ j5) + 3- j4 - j(4- j6), expressing the result in the form x +jy.

A: Expand 2+j52 as, 2+j52=22+j52+2×2j5=4+5-12+20j=4-25+20j=-21+20j

Q: X1 - X2 13x, - 19x2 + X3 = k2 - 5x1 = k, + X3 = kg a. What are x,, X2, and x3 when k, = 2, k2 = 8,…

A: TO solve a system of linear equations using an inverse matrix, Let A be the constant matrix, X be…

Q: 3 x + 2 1 x - 1 x +3 A = 3 4 a1,2 + a3,3 Mat x =?

A: x = -6

Q: 5(7+ j2) Q1\ Simplify (2+ j5) + 3- j4 -j(4-j6), expressing the result in the form x +jy.

A: J^2=-1

Q: 5. (-10, 1); 2r + 5y = 15 %3D

A: We have to calculate the equation of line at passing through a point (-10,1)  First we have to…

Q: Discuss the Simgularities and Poles of 8 fiz) = zez Simz (2-2)(라1)"(2누5z+6) (z+7) (Z`49) %3D

A: A point z0 is the singularity of function f(z) if f is not analytic at z0 , but every neighborhood…

Q: -6 -4 -2 + I B. r I ↓ . I y -9 4- 2- -2- A -9- 0 A. y = (x - 1)² - 2 y = 4(x - 1)² - 2 F . -~ 2 · I…

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Q: Solve the problem for w(r, θ) in the disk with radius 2, ∆w = 0, in 0 < r < 2, w(2, θ) = x + y2, on…

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Q: Use reduction of order/formula/ , find the general solution a. xy" +y' = 0; y1 = Inx %3D %3D

A: We can observe that y=1 is also a solution of the given differential equation.

Q: over a domain of x<-3. 1 Ax) = 7(x+ 3)² + 1 Which table represents the domnain and cange

A: Given :

Q: 38. I| x²ydA, R=[-1,1] × [0, 2]

A: Given: ∫∫Rx2ydA , R=-1,1×0,2

Q: 2у" + 3у' + у%3D 3sin x + xe

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Q: Determine whether y, = 3e2t – e-3t and y, = 2e-3t – 6e2t form a fundamental set of solutions. HOW…

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