Exponential growth/decay

I have come up with answers for the two below questions but not 100% sure they are correct:

y = ∫ (5-2e^3t)dt time is between 2 and 4 seconds

y = ∫ (e^-7t) dt time is between 0 and 5 seconds

Answer for the first question:
10 + 2/3 (e^3t) = 9.998

Answer for the second question:
1/7 - e^35/7 = 0.142857

Thanks!

Reply 1

mqb2766

21

Original post by thomas0611

I have come up with answers for the two below questions but not 100% sure they are correct:

y = ∫ (5-2e^3t)dt time is between 2 and 4 seconds

y = ∫ (e^-7t) dt time is between 0 and 5 seconds

Answer for the first question:
10 + 2/3 (e^3t) = 9.998

Answer for the second question:
1/7 - e^35/7 = 0.142857

Thanks!

Agree with the second, though the first looks wrong assuming the exponential is e^(3t)