Friday

November 28, 2014

November 28, 2014

Posted by **Sara** on Tuesday, November 30, 2010 at 6:29pm.

- Calculus -
**MathMate**, Tuesday, November 30, 2010 at 7:16pmGiven

A(t)=20(1/2)^(t/140)

We look for A'(t)

Use implicit differentiation.

Take ln on both sides

ln(A)=ln 20 + (t/140)ln(1/2)

differentiate with respect to t

(1/A)dA/dt = 0 + ln(1/2)/140

substitute A

dA/dt = ln(1/2)/140*20(1/2)^(t/140)

substitute -ln(2) for ln(1/2)

dA/dt = -(ln(2)/7)*(1/2)^(t/140)

**Answer this Question**

**Related Questions**

Plutonium decay - The amount A(gms) of radioactive plutonium remaining in a 20gm...

algebra 4 - write an exponential decay model that describes the situation. one ...

chemistry - You want to heat a satellite by radioactive decay of 238 plutonium. ...

chemestry - Please answer the following THAT I CAN'T!!! Where is Plutonium found...

CHEMISTRY - Suppose you had a detection device that could count every decay ...

science - suppose you have 100grams of radioactive plutonium-239 with a half-...

Math - A 15-g sample of radioactive iodine decays in such a way that the mass ...

Calculus - The quantity Q of radioactive carbon remaining in a 200-gram wood ...

Algebra - The amount of plutonium given in a sample is determined by the ...

physics - How many coulombs of positive charge are there in 8.70 kg of plutonium...