Problem 2 - full steps needed please and explanation if possible

label Mathematics
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schedule 1 Day
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Jan 27th, 2015

To find T you have to take the integral of dT/dt

First divide both sides by -2 to get

dT/dt = -5+2T   Then integrate

T = -5T+T^2+C

if T(0) = 2   then

2 = -5(0)+(0)^2+C

therefore, C = 2

Then, T = -5T+T^2 + 2

Now solve for T by subtracting T to the right side

0 = T^2 - 6T + 2   and solving the quadratic equation

I'll use completing the square method:

T^2 - 6T = -2

(T-3)^2 = -2+9 = 7

T-3 = +/-sqrt(7)

T = 3+/-sqrt(7)



Jan 27th, 2015

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Jan 27th, 2015
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Jan 27th, 2015
Jun 26th, 2017
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