Q.1: (D-5) What is the value of y' at x=2, where y = x³ + x² − x −1?

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Q: (c) lim x+3x² (d) lim x+2 x² Calculate the following limits, or explain why they diverge. 9 5 - 4 3x…

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Q: 3. Let E = {0, 2, 4, 6, ...), define f: Ex E → Z+ by the formula f(m, n) = 4m5n, V (m, n) € Ex E.…

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Q: 2 3 - ( ² ) + ( 3 ) ² + ( )*²+ + converges to until you find an SN that approximates with an error…

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Q: Let Tn(x) denote the Chebyshev polynomial ofdegree n and defineUn−1(x) = 1/nT'n(x)for n = 1, 2, . .…

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Q: 21. 4 m=1m! +4m

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Q: 3. Obtain the value of y at x=0-2 if y satisfies dy -2²y = xy( x²y=x;y dx (0) = 1 taking h=0.1.

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Q: Q1: By using matrix inverse method. Find the value of x and y in term of z. 2X+Y-Z = 3 X-3Y+2Z=1

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Q: Find two power series solutions of the differential equation (x². + k)y" + kxy' - y = 0 at x = 0.

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