Let 3 2 1. Verify that I4 = A. Show all of your work. 2. Verify that Alz = A. Show all of your work.

Q: x+y uis = 1 n upi = no • prove that x-+ y-

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Q: Assume that u - v = 2, ||u|| = 8, and ||v|| = 3. Calculate the value of (9u + v) · (u – 8v). %3D…

A: we multiply the given equation and then put the value of given data. u=8 v=3 u.v =2 note- According…

Q: a Prove that < 16 – a| for each a, b e R. - V62 + 1 Va? + 1

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Q: show that }I f,lm) Ck-m) 2.

A: For, ∑m=0kf1mf2k-m, substitute k-m=n or m=k-n: ∑m=0kf1mf2k-m=∑k-n=0kf1k-nf2k-k-n…

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

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Q: 2. Show that c(x, t) = solves 1 ac(x, t) 2 ax ac(x, 1) ar

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Q: Y=√x, but is shifted to the right 1unit y =

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Q: The convolution of e2t ® sin(3t) S is | e2Usin(3t – 3u)du e2usin(3t – 3u)du Se-2usin(30)du…

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Q: Solve the Auxiliary DE 75. и"" + u" — 2и 3D 0

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

Q: a+ib a) If x+ iy = prove that x? + y² = 1. a-ib

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Q: Prove that : Σ j=1 m=1 2.

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Q: Evaluate the integral. 2 (3u - 5)(u + 2) du -1

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Q: (b) In(2x2 + у — 23) %3D х

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Q: Let x, y EZ. Prove that 3|xy if and only if 3|x x or 3 y.

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Q: 4. Compute I = arcsin æ. Write (I + 1)/T, round up by 2 digits. Prevlew will appear here. Enter math…

A: We will solve the problem.

Q: Prove that c = cn. i=1

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Q: Use the equations aF OF az ax az ay and ax OF ду OF az az az az and ax to find ду 5yz + 8x In(y) = =…

A: F=5yz+8xln(y)-z2∂F∂x=8ln(y), ∂F∂y=5z+8xy, ∂F∂z=5y-2z∂z∂x=8ln(y)5y-2z, ∂z∂y=5z+8xy5y-2z=5yz+8x5y2-2zy

Q: (2,4,2) √(122) Axlna +(By²2)] + (2 +9³) 2² what should A ond & be for the integral to be path…

A: Let us denote F1=Axlnz, F2=By2z and F3=x2z+y3. We have to find the value of A and B such that the…

Q: ez = -2

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Q: Prove that: sec a + sec(120° +a)sec(120° – a) = –3 sec 3a

A: To prove that  secα+sec(120∘+α)sec(120∘-α)=-3sec3α

Q: Let а в %3D Compute e. To be clear, a, B are constants.

A: Given, A=αβ-βα Determine the value of eA.

Q: Let Xvuniform(0,8) then E(x-2)

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Q: GL (3,2,), the iilan of the mverse 63 is:

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Q: Let a be a constant. Given that 3x In(ax)dr = e18 ( 36 -89 , find In a. 3

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Q: 1 Assume that 1 < a < b_and equation is solvable. + x = Show that this * – b'

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Q: Sy²el+2y®dy

A: Consider the indefinite integral ∫y2 e1+2y3 dy to evaluate the above indefinite integral, use the…

Q: (b) Use part (a) to show that f (T) is either a transposition disjoint transpositions. or a product…

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Q: Show that if, in using the Laplace development, you accidentally multiply the elements of one row by…

A: A 3×3 matrix a11a12a13a21a22a23a31a32a33.

Q: 3. Suppose that BE Mxn(C) and B = 0. Show that I-B is invertible. Hint: Consider I+ B+ B.

A: Given : B is an n×n complex matrix with  B3 = O , where O is zero matrix. To prove :  I-B is…

Q: Suppose A E C such that A(2 + i, 3 – i) = (5 – i,7 – 5i). Then (1) A = (1 – i) (2) A = (2 – i)

A: Given that: 1. λ∈C, λ(2+i, 3-i)=(5-i, 7-5i)   NOTE: As per our answering guidelines, we can only…

Q: Show that the following cosh 3 (0,0) r(3,5) x² y?. (10xdx +6ydy)

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Q: Solve the followig 13. BauSsian or Eduss Jordan Using E lemination. 5x, +6x=7X 3D0 3. ース×,+ 3X7…

A: Answer

Q: the following DE are Bernouli type and solve: 1. y’ – x = y 2. y’ + 5y/x = x 7 y 4

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Q: two positive iontages and bare by 2, them prove that. (2° +1) is most divisible by (2²-1) let a with

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Q: If torque T = N-cm, express in N-m

A: We know that  1 m = 100 cm  So , 1 cm = 1 /100 m  = 0.01 m

Q: Find the resolvent kernel and Solut of ya) = I+5(1-3x+).y(t).d by Alternative procedure

A: Given Integral equation is y(x)=1+∫01(1-3xt)y(t)dt               (1) The general form of integral…

Q: Use the main theor 't take powers)

A: We have to show that 12 must be the primitive root of 25 by using the main theorem on the primitive…

Q: Evaluate the integral. 1 (u + 8)(u – 9) du 0,

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Q: 1. Let s, =2+j8 md -, = 4+j36. Show that a. -1+- = -+- 1 -1- -2 -1 -2 = -1-2 -1 : b. C d. =2 ||

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Q: Evaluate the integral. 1 (u + 8)(u – 9) du

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Q: 1. Show that 0* = 0, I* = I. %3D

A: Matrix

Q: Express −i+j in the form [a,b]

A: Simplification

Q: If z = 3 – 3i, express 5/z  in the form a + bi

A: The given value of z is z=3-3i.

Q: Show that ag = vp¤(ax+1 + 1) %3D

A: Given  ax=vpxax+1+1

Q: Prove that for а + —1,а > 0, пENis (1+ а)" > 1+ па.

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Q: Prove Equationally that A, B H A = B.

A: Given:                       A, B ⊢ A≡B To do: Prove the given statement equationally.

Q: Prove that where e, > (1,0)"

A: Prove that     conve1, e2, -e1, -e2=x∈ℝ2 : x1+x2≤1 where e1=1, 0T , e2=0, 1T.

Q: A space ship travels at 25 miles per hour and traveled continuously for 211 hours. 4 Enter the…

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Q: 2. Sketch 0 in standard position if cose = 8. and deter %3D

A: Given that: cosθ=-817