Find Al, IB|, AB, and |AB|. Then verify that JA||B| = |AB|. %3D -1 0 0 040 -1 4 1 A = 101 B = %3! 010 006 (a) (b) |B| (c) AB (d) JAB|

Q: 0= 0.34, find cos (-0). IT 9. If tan(-y) = 0.9, find cot y- 2. 10. If sin

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Q: ine x and y such that -4 3 0 -4 + -3 x - y -1 -2 4 -4 3 2x + y

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Q: E. Work out a. +3 + ( -2) = %3D b. -5 + (+ 5) = c. - 7+ (-3) = %3D

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

Q: Q#02: Show that 2リー33+5 -- t, esint 3.

A: Some properties of Laplace inverse of a function  Linearity property :…

Q: 9) (5y + 8y) - (4y + 3y') 10) (2x' + 6x) + (3x - 4x)

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Q: Find A. A = (3A)-1 · [ = 10 4 21

A: We have to find A using given data.

Q: Rationalize the denomina Vx +1 Vx +2 x +1 /x +2 (Simplify your answer.

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Q: [5 6 7] 3 2 1 If A%3D 8 9 01, В %3D 19 0 8| find (a) 3A + 5B (b) 5A + 3В. 1 2 3 7 6 5

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Q: 1 0 -11 1 2 1 Let A = Determine the QR-factorization of A. 1 1-3 1 1

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Q: Q2. If f =+ then of and ду of

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Q: dz Evaluate J 5z+2

A: Given: I=∫dxe-5x+2 For evaluating given integral, in given integral we substitute e5x=t…

Q: Prove that (A-1)-1 = A. %3|

A: Let A be inverse of matrix A. Then, by definition We know that

Q: A researcher is trying to determine if the av score on a standardized test has decreased. previous…

A: The average and standard deviation of the score is x=97s=6They collect the scores of 74 test…

Q: X1 +x2 +x3 %3D X2 +x4 5 %| X3 X1 +x4 X1 X2 +s X3 Х4

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Q: 1) (8s° - 9s) - (3s° + 4)

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

Q: 6. Given i [2, – 5]and i = [-7,2] find a. 5ū

A: Topic = Vector

Q: -5 2 If A = , find A-1 -6 4 O A-1 -2 O A %3D 6 -4 4 -2 O A-1 6. -5 O A-1 으4 112 || ||

A: The solution are next step

Q: 3. e2In 2x %3D 4x. B 2r. 4x D In 2x.

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Q: а. In(3x — 5) %3D 0

A: we have to solve for the exact value of 'x' (1) ln(3x-5)=03x-5=e03x-5=13x=6x=63x= 2

Q: 2) Expand the following a) Csa2-2b)

A: I have to exapand (5a^2-2b)

Q: Find usingy tah x X(X+)(x-2) tx+0し2xt3) 2) y== It qX ^X

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Q: Let u = {1, 0, 2}, v = {0, 1, 3} and w {1, 0, 1}, then

A: Let u={1,0,2},v={0,1,3} and w={1,0,1} .

Q: 5 6 . Let B= 7 and C%3D 7 -5 4 -3 Find 4B- 3C. 4B 3C = || %3D 2. 3.

A: B=327-5 C=564-3 4B=4×327-5     =4×34×24×74×-5      =12828-20 -3C=-3×564-3         =-3×5-3×6-3×4-3×-3…

Q: Evaluate. n(3) = -x + 4x

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Q: 1-2х 1 2х+1 а.) 2х-3 х = 1 - х-1 b.) /2х — 2-Vx +6+1-0

A:

Q: -2 6 Ex.2: Find for 3 -3 4 -7 3

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Q: Sx-2/3 dr

A: The given integral is ∫18x-23dx. Power rule: ∫xndx=xn+1n+1+C