The graph of f (x) = ax+b x²+3x-8 has horizontal tangent at (2, -1). Determine the values of a and b.

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A: The given equation is; y'-y/t =cost/t-1; y(π)=0.

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A: We will find left hand limit (L H.S.) and right hand side (R.H.S).

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A: We have to  find equation of normal and oscillating plane of above curve. 

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A: To solve this use integration by substitution method

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A: LetI=∫x3+3xx2+1dxI=∫x(x2+3)x2+1dxPu x2+1=ux2=u-1differentiate 2xdx=duxdx=du2I=∫(u-1+3)udu2Take the c...

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A: Given problem:-

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A: Based on x and y intercept value we will find out equation of the graph. 

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A: Explanation of the answer is as follows