Prove that if p> 3 is a prime number, then 24 | (p2 - 1).

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Q: Find the derivatives of y with respect to x: a) y = xe* - e* b) y = e(1x+) %D c) y = e*(sin x + cos ...

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Q: (bj) be the squar %3D E i, j< 3. If the detern nt of BT is

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Q: 3.44. Find the Laplace transform of x() given by otherwise

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Q: 8. The equation of a circle with radius 5 is x? + y2 - 6x+4ky+20 0, keZ. (i) Find the centre of the ...

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Q: 19 Four discs, each of radius 1 cm, are cut from a 5 cm by 5 cm cardboard square. Use the value 3.14...

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Q: 6-Given P(x)=2x3+3x2+1 and Q(x)=8x-2, find all the possible values of so that Q(x)<P(X )state your a...

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Q: Evaluate |F. di where F = ( – 4z, F(t) = (t, sin(t), cos(t)), 0 < t < T %3D

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A: Delta will be min of 4-A and B-4. See the explanation.

Q: Consider the System of Linear Equations: 4х — у —z — 3 -2x + 6y + z = 9 -x + y + 7z = -6 Solve MANUA...

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Q: Graph the following functions. Create a table for the range. Use the domain (x) = {-2, -1, 0, 1, 2} ...

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