Ask questions and get helpful answers.
Ask a New Question
  1. Questions
  2. Math

Solve: dA/dt = -10A, A(0) = 5

------------------

I tried getting A by itself:

A = -1/10 * dA/dt
A(0) = 5 = -1/10 * dA/dt

but I'm somewhat sure that's wrong; so integrating I get:

int(dA/dt) = int(-10A)
A = -5A^2

which doesn't make sense to me intuitively since the same variable is on both sides. I'm a bit confused, any help is appreciated.

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
James
2 answers

  1. A = -1/10 * dA/dt
    dA/A=-10dt
    lnA=-10t+C
    when t=0, A=5
    ln5=C
    LnA=-10t+ln5

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    👤
    bobpursley

  2. ah, I see! thank you

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    James

Answer this Question

Related Questions

  1. Math

    Which set of integers are in the right order from least to greatest? 1. |–10|, –3, 2, 7 2. 7, |–10|, –3, 2 3. 2, –3, 7, |–10| 4. –3, 2, 7, |–10|**** Explain 2 possible ways you would solve this problem Can a tutor explain 1 way they would

  2. physics

    A hair dryer uses 10A at 120V. It is used with a transformer in England, where the voltage is 240V. A. What should be the ratio of the turns of the transformer? B. What current will the hair dryer now draw?

  3. Physics

    X=1/2at^2 Solve for a Solve for t Can you please show me how to do this Thank u

  4. Math

    Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the inequality. Explain all steps and identify the properties used. n/-3 + 5 > 4

  5. calculus

    1) Solve for x in terms of k: log3(x) + log3(x+7) = k; 3 is the base 2) e^(x+5) = e^(x) + 6, solve for x. Please help, I have no idea how to do these and I've tried several times!

  6. Calculus - Volume by Integration

    Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the y-axis: y=(x-2)^3-2, x=0, y=25 (a)solve by either the disk or washer method (b)solve by the shell method (c)state which method is easiest to

  7. geometry

    line BD bisects angle ABC. Solve for X and find the measures of angle ABC. angle ABD= 5X, angle DBC= 3X + 10 I don't really understand this question so can someone please help me solve this and explain to me how they solved it/ show the steps of how to

  8. Chemistry

    Dissolving calcium hydroxide (∆Hsoln = -16.2 KJ/mol) in water is an exothermic process. How much lithium hydroxide (∆Hsoln = -23.6 KJ/mol) is needed to deliver the same amount of heat as 15.00 g of Ca(OH)2? Hello everyone, thank you for taking a look

  9. physics (thxs again)

    Thank you for the help :) A certain sample carries a current of 4A when the potential difference is 2V and a current of 10A when the potential difference is 4V. This samples is: a) obeys ohm's law b) has a resistance of 0.5 ohms at 1V c) has a resistance

  10. chemistry

    A sample of 1.00 mol H2O(g) is condensed isothermally and reversibly to liquid water at 100°C. The standard enthalpy of vaporization of water at 100°C is 40.656 kJ mol−1. Find w, q, ∆U, and ∆H for this process. ------------- I can solve for ∆H: n

Still need help?

You can ask a new question or browse existing questions.