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Hi, how are you? thank u for your help! Can you show all your work in detail and justify them, It is a tough question

Hi, how are you? thank u for your help!

Can you show all your work in detail and justify them, It is a tough question so with detailed steps I will understand it . God bless!

Find the values of a, b, c and d given that the curve y=x4+ax3+bx2+cx +d satisfies the following conditions:

  • Has a tangent line when x=0 with equation y=2x+1
  • has a tangent line when x=1 with equation y=2-3x

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