A series is defined by Sn = Er=15' (a) Find the first 3 terms of the series (b) Use the method of induction to prove that Sn =² (5" – 1) - 4

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Q: |Example 10.37. The deflection of a beam is governed by the equation d'y + 8ly = (x), where o(x) is…

A: please find step by step answers below:

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Q: 2 3. f(x) = es* – x² – 1 (Xi-1= 8)(x; = 5) (х-1 3D 8)(%; — 5)

A: F12=EXP(2*E12/3)-E12^2-1 H12=EXP(2*G12/3)-G12^2-1 I12=G12-H12*(G12-E12)/(H12-F12) Error=ABS(J12)…

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Q: ハ-yャメー つ リ

A: Solution 3: Given differential equation is y¯=1-y+x2⇒y¯+y=1+x2 We can write it as (D+1)y=1+x2…

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Q: Example 11.10. Solve the boundary value problem u, = u, under the conditions u(0, t) = u(1, t) = 0…

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Q: 2. Use a Taylor polynomial to show that, for large wavelengths, Planck's Law gives approxi- mately…

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Q: 3. Let f : [a, b) -R be integrable. Show that f(t)dt = lim,b Sa f(t)dt. %3!

A: Recall the results mentioned below

Q: Considering the following Linear equation set: 2x1 + 6x2 + 15x3 = -12 4x1 + 7x2 + 13x3 = -10 3x1…

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Q: 0.2+ 25x+ 3x2) dx

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-aN and N…

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