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erik [133]
1 year ago
7

Find the average value of the function i = 15(1 - e1/2t) from t = 0 to t = 4. A. 7.5(1 + e-2) B. 7.5(2 - e-2) C. 7.5(2 + e-2) D.

7.5(3 - e-2)
Mathematics
1 answer:
klasskru [66]1 year ago
7 0
I think the average value of the function i = 15(1 - e1/2t) from t = 0 to t = 4 is <span>C. 7.5(2 + e-2). The correct answer is letter C.</span>
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Solve the equation y′ + 3y = t + e^(−2t).
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Hello,

I am going to remember:

y'+3y=0==>y=C*e^(-3t)

y'=C'*e^(-3t)-3C*e^(-3t)

y'+3y=C'*e^(-3t)-3Ce^(-3t)+3C*e^(-3t)=C'*e^(-3t) = t+e^(-2t)
==>C'=(t+e^(-2t))/e^(-3t)=t*e^(3t)+e^t
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==>y= (e^t+t*e^(3t)/3-e^(3t)/9)*e^(-3t)+D
==>y=e^(-2t)+t/3-1/9+D
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