Prove that ax² bx C (x-a) (x −b) (x −c) * (x − b) (x − c ) + x = c + - x³ (x-a)(x-b)(x-c) =

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Q: X₁ X₂ 0.S 1.5 2.5 -1.S -S2 S -4-12S ] 1 1 4 3 2 375 1.25 0.75J

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Q: Problem 7 Let He Vam I tudom S = {(2,x) | x E I} CR², dT (81 Ing/ T= {(0,x) | x 1} CR², o ir aut

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Q: $). Give an example of a bijection f: R→ R which is Problem 8 not a homeomorphism.

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Q: dy (a) Find the explicit solution to the initial value problem (x + 1) +y=6re with de y(1) = 10.…

A: x+1dydx+y=6xe-x⇒dydx+yx+1=6xe-xx+1 The integrating factor is  I.F=e∫1x+1dx     =elogx+1=x+1…

Q: дх де —q(1 — п) (w - qx + 1) = π 1 — q + (1 — q)п (w + (1 − q)x − l + 1) = 0, =

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Q: Find the counterexample to show that the following conjecture is false. (x + Y)^2 = x^2 + y^2  is…

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Q: 8 11 Part 4 of 4 Required information NOTE: This is a multi-part question. Once an answer is…

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Q: What is the value of x that will give g(x) = 115x² – 3x³ a relative max value?

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Q: Find the other order of integration. Determine which of the two expressions is easier to integrate.…

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