Use the Binomial Theorem to expand and simplify the expression. (x² + y?j« Select one: O a. x8 + 6x6y² + 4x4y + 6x3y6 + y8 O b. x8 + 6x5y² + 4x*y+ + 4x²y6 + y® O c. x8 + 4x6y² + 6x*y4 + 4x²y6 + yo O d. 3x8 + 2x6y² + 9x*y4 + 4x²y6 + 2y8

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A: solution:-y=x+1x-1at x=2y(2)=2+12-1=3slope of tangentdydx=ddxx+1x-1     =x-1ddxx+1-x+1ddxx-1x-12    ...

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A: solution:-let x=cot-1(-3)-3=cotx      ( cot is negative in second quadrant)bacause range of cot-1x i...

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Q: 2.  Find the arc length of the curve y = 2/3x3/2 - 1/2x1/2 on [1, 9].

A: Note: As per our guidelines we have to solve only one question (if there are multiple questions are ...

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Q: SITUATION 5. Find du/dx for the following: * (€);y = VT+ 1 +x² 37. u = sin-1

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A: We will find the arc length 

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Q: cos2tdt 1. S(x" + x³)dx 6. J (1+sin2t)* 2. S(x* + 3Vx)dx 7. S tanß sec?Bdß 3. Sx(1- x?)dx 8. S(tane ...

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A: Let's find. 

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A: Let's find. 

Q: e the Intermediate Value Theorem to show that there is a root of the given equation in the specified...

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Q: Use the given graph of f(x) = /x to find a number 8 such that if Ix - 4| < 8 then Vx - 2 < 0.4 yA y=...

A: use limit definition for evaluating the value  of delta.

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A: As we know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Quotient rule: f...

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Q: shown in /* :the table below lies between Class Frequency Midpoint 61 5n 64 18 67 42 ד

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