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A: Given: Let us consider the given, ut=uxx,              -∞&lt;x&lt;∞,   t&gt;0ux,0=e-x2,…

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A: ∫0∞e-ax2e-12bx2cx2+dxdx Substitute, x2=t , then 2xdx=dt  ,   when x=0 ,t=0 and x=∞ ,t=∞

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A: Trapezoidal rule  (h/2)[f(x_0)+2(f(x_1)+f(x_2)+...+f(x_(n-1))+f(x_n)]

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Q: 6. For A, B, subscts of R, define A+B= {a+b:a€ A, bE B} and A B= (ab:a € A,bE B} (a) For A=…

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Q: ate the integrals below using the following methods. ule IT (82 + 6y)dx dy

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Q: Q2 (a) Let n E N and let 7, w e R". Show that if ở - = 0, then || † + w||? = || T||? + ||||?. (b)…

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Q: 25–28 I Write the number in polar form with argument between 0 and 27. 25. —3 + 3і 26. 1 — 3і 27. 3…

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