Find the average rate of change of the function over the given interval. y = √3x + 1; between x = 1 and x = 8 The average rate of change of y between x = 1 and x = 8 is (Simplify your answer. Type an integer or a simplified fraction.)

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A: Given : limn→∞ an=a To prove : limn→∞  λan=λa.

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A: The given integral is:            ∫-12∫04-x2x2+y2 dy dx

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 1. For each of the given functions, answer each item correctly…

A: Given function is  f(x)=-1x2+x-6 = y (a)   Consider x2+x-6=0  ⇒  x+3x-2=0…

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Q: tried

A: We use definition of Laplace Transform.

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Q: Solve the initial value problem y y" +2y-8y = 9 Cosx-2 sinx yea) = 4, y co) = -6

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Q: b) Babylonian to base 9 <TTTT/<<T/<TYY

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A: Given:  A=2001010000101002To find : Orthogonal matrix Q and Diagonal matrix D such that QTAQ=D.

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Q: The General Case of multiplicity 4 eigenvalue?

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A: We enter the given data in an Excel workbook,

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