Write the arithmetic series in summation notation. 7+14+21+28 7+14 +21+28%D

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Q: An example of a partition of the integers is E Z}

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Q: 9. Find the points on the graph y = 7x - where the slope of the tangent line is parallel to x-2 28x ...

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A: f(x)=x33-x22-6x+5f'(x)=x2-x-6x2-x-6=0x=3,-2For -∞,-2, f'(-3)=6>0For -2,3, f'(1)=1-1-6<0For 3,∞...

Q: 1. (5+ 18i)w – 6zi = 267.32 – 10i, (6i)w – (1 + 3i) = 15.32 – 13.46i Ans. 16. 13 — 12.91i, 39.28-7.6...

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Q: Find the solution of the following differential equations: O ý =ky where k is Constant y= - xy ® ý-z...

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Q: (b) Show that the Fourier series of f (x) is 4 (-1)" cos (2nnx) (2n)2 – 1 |

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Q: Exercise 6. Evaluate the integral ff, 1dA, where D is the region bounded by the lines y = 2x + 5, y ...

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Q: 3) Given the extremes: -3 and 16 a) Insert 15 arithmetic means between them. b) Insert 5 arithmetic ...

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Q: x < 2 -3x for h(x) = {4x + 1 for x22 g(x) = +2for x<3 x³ for %3D x 2 3

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Q: What is the general solution to the differential equation d/dx [dy/dx] =6x+3 ?

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Q: u+ 4 5. If y = : and u = Vx + x find when x = 4. u- 1 dx

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

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