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lilMissMindset Group Title

urgent please! how do i determine the value of the coefficients of this? 2Ae^x + B + Cx = 5e^x -162x

  • 2 years ago
  • 2 years ago

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  1. asherwood3 Group Title
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    Remember Coefficients are the numbers in front of your variables. Variables are x , y, m , d... etc... letters. So the value of the coefficients will be the number in front of your variables... right?

    • 2 years ago
  2. AnimalAin Group Title
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    You match the coefficients with the corresponding terms. The e^x terms on both sides of the equation have to be the same, so A=5/2. Similarly, C=-162 and B=0.

    • 2 years ago
  3. lilMissMindset Group Title
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    i need a value of A, B and C

    • 2 years ago
  4. AnimalAin Group Title
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    Do you understand my explanation?

    • 2 years ago
  5. lilMissMindset Group Title
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    how did they match?

    • 2 years ago
  6. AnimalAin Group Title
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    On the LHS, there are three terms, the e^x term, the x term, and a constant term. On the right hand side, there are two, just the e^x term and the x term. If the LHS=RHS, the corresponding terms have to be equal. That means 2A=5, and C=-162. Since there is no constant term on the RHS, B=0.

    • 2 years ago
  7. lilMissMindset Group Title
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    why is it that the answer on my book is C=-18 and A=1/2

    • 2 years ago
  8. AnimalAin Group Title
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    I have no idea. I know that my answer solves the question you stated at the top.

    • 2 years ago
  9. lilMissMindset Group Title
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    i'll just figure it out. thanks a lot. :) can you answer another question? please.

    • 2 years ago
  10. AnimalAin Group Title
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    This has to do with the linear independence of the functions. You can't state a linear function in terms of a constant or an exponential, or visa-versa. So the exponential part has to match the exponential part on the other side, the linear part has to match the linear part on the other side, and the constant part has to match the constant part on the other side.

    • 2 years ago
  11. AnimalAin Group Title
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    Sure, ask away.

    • 2 years ago
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