4.By applying the Convolution Theorem to calculate L-1 is obtained: Determine the value of (a+b): a S s² + a² s² +6² 1/2 √ [sen(4t+u) + [sen (4t+u) + sen(9u - 4t)] du

Q: Form the interpolating polynomial of degree k that satisfies pG) (xo) = f(G) (xo) for 0<j< k.

A: To form: The interpolating polynomial of degree k that satisfies pjx0=fjx0 for 0≤j≤k

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A: See the detailed solution below.

Q: PROB.NO. 4 VERIFY THAT (X - 3 )(X - 21) = (X - 21 )(X - 3) = Xx - 5X + 61 FOR [i 2 0] X =0 30 0 0 4

A: To verify the given expression is followed by matrix X .

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A: Find all non-negative integer pairs of (x, y) such that .

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A:

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A:

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Q: Q.8 Find real numbers x, y and z such that (а) (b) 7xi + (y-3)j+ 6k = 10i + 8j – 3zk (x +4)i + (y-…

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Q: Q9. (a) (i) Calculate (2 + i√5)(√5 - i). (ii) Hence verify that (√5 - i) is a root of the equ

A: (a) The given expression is 2+i55-i Multiply the terms in the given expression…

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A:

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A: Now,

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A: Given: z5=1-i, To find: All values of z.

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A:

Q: polynomial in V2+i and compute the conjugates of i over Express i as a Q(/2 + i).

A: As per the question we have to express i as a polynomial in (√2 + i) and then compute its conjugate…

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A: Given, A=2-1-12   ...i    ....(i)  We need to show that Ak=121+3k1+3k1+3k1+3k    ...ii     Now, A…

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A:

Q: Find a number z (except 0) such that Az³ + Bz²+ Cz = D 2 1 3 0 -2 -4 00 ^-[ ] ³-R2 :]-[+]-[1] B= 1 2…

A: Solution

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Q: E Show that x'+ 3x+ 2 has 4 zerosin Ze

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Q: Find the solution of the given syst- x+3y +3z=2 x+4y +3z=3 x+3y +4z =1

A: