Prove that ax² bx C + + (x − a) (x −b) (x −c) (x-b) (x-c) x-c -+1 x³ 3 (x-a)(x-b)(x-c)

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A: We shall find out extreme points of the function in the next using the a equation of circle.

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Q: EXPLAIN DISTINCT POSITIVE EIGENVALUES?

A: Answer EXPLAIN DISTINCT POSITIVE EIGENVALUES?

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Q: Q3: Suppose that a periodic signal is defined as 2 j5 q(t) = cos(3лt) Σ (k+j1.5) ej8nkt k=-2

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A: Given That : component Metal plastic  Rubber 1 15 0.30 1 2 17 0.40 1.2 3 19 0.55 1.5…

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Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Given : x'=1-40-201006-12-1-60-40-1x  ; x1=e-t1001  ; x2=e-t0010  ; x3=et010-2 ; x4=et 1030 (a) To…

Q: 9. Obtain the general solution to the equation. (X² +36) dy + xy = 7x, y(0) = 2 dx

A: To obtain: The general solution to the equation X2+36dydX+Xy=7X, y0=2

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Q: 2) Obtain the DE with respect to x of (x - h)² = 4(y-k).

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A: Given that dxdt=3-20-13-20-13x, x0=026

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Q: (a-x)√a-x-(b-x)√√x-b √a-x+√√x-b If y = whenever defined. then find dy dx

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Q: . In Problems 15 and 16, verify that a · (a × b) = 0 and b. (a × b) = 0. 16. a = ⁄i − ¹⁄j, b = 2i −…

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