Find the average value of the function f(x)=−6sinx on the given intervals. a) Average value on [0,π/2] __________________________ b) Average value on [0,π] __________________________ c) Average value on [0,2π]

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A: g(x)=log2xwe knwo (i)  logab=logcblogca(ii) d dx(logx)=1x

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A: as per guidelines we are supposed to do three supports only please repost The Other parts

Q: 221. y = y = (3x² + 1)³ 223. y = y = ($+7) 772 SHALL NO 225. y = сsс(лx + 1) 227. y = -6sin ³x -3

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A: We have to find the intersecting ageless of two curves.

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A: Given;

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A: The differential equation is given as  d2ydx2=10-24x , y'(0)=7 and y(0) = 9.

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A: The function is given by fx = x3-3x2+11x-6 To determine: The intervals of concavity of the function.

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A: y=x3

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A: x=0, y=0   x+y=1  where if x=0 then y=1and y=0 then x=1 So we can say that 0≤x≤10≤y≤1-(x+y)≤z≤x2+y

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A: (a)  h(x)=58x-18we know (i)  ∫xndx=xn+1n+1+c(ii)  d dx(xn)=nxn-1

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A: Note : Since you have posted multiple questions, we will provide the solution only to the first…

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