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egoroff_w [7]
3 years ago
11

PLS PLS PLS PLSSS HELPPPP

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0

Answer:

Step-by-step explanation:

12-12(1-75/100)

12-12(25/100)

12-3

9oz

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5.123,5.213,5.312,5.31 least to greater
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Which of the following is the solution to the differential equation dP/dt+P=10 with the initial condition P(0)=4
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Answer:

  •    Option C.    P=10-6e^{-t}

Explanation:

<u>1. Separate variables:</u>

      \dfrac{dP}{dt}+P=10\\ \\ \\ \\\dfrac{dP}{dt}=-P+10\\ \\ \\ \dfrac{dP}{-P+10}=dt

<u></u>

<u>2. Find the indefinite integrals</u>

    -\ln{(10-P)}=t+C

<u></u>

<u>3. Solve for P</u>

      10-P=e^{-t+C}\\ \\ 10-P=Ke^{-t}\\ \\ P=10-Ke^{-t}

<u></u>

<u>4. Use the initial condition, P(0) = 4, to find K:</u>

  • 4 = 10 - K(e⁰)
  • 4 = 10 - K
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<u></u>

<u>5. Substitute K = 6 into the integrated equation:</u>

       P=10-6e^{-t}

That is the option C.

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6 0
4 years ago
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