- #1
Unicyclist
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I was doing my exam today and ran into a couple problems.
First one: how do you differentiate [tex]\tan^2[/tex]?
I converted it into [tex]\sec^2 - 1[/tex] and used the u/v = (u`v - v`u)/v^2 method, but I would like somebody clever to do it for me, just to be sure, please.
Another problem.
Rate of change of population P equals [tex]\lambda P \cos(\lambda t)[/tex]
Find the formula for population P in terms of [tex] P_0[/tex],[tex] \lambda[/tex] and t.
Then, find t. When P = [tex]2P_0[/tex]
I had problems with finding t.
t came out to be arcsin of something. The problem is, they never said anything about degrees or radians and so t could vary quite a bit, depending on that. Did I do it wrong or am I missing something out?
I don't have the exact question. It was in the exam I did two hours ago. All help is appreciated.
Thank you.
First one: how do you differentiate [tex]\tan^2[/tex]?
I converted it into [tex]\sec^2 - 1[/tex] and used the u/v = (u`v - v`u)/v^2 method, but I would like somebody clever to do it for me, just to be sure, please.
Homework Statement
Another problem.
Rate of change of population P equals [tex]\lambda P \cos(\lambda t)[/tex]
Find the formula for population P in terms of [tex] P_0[/tex],[tex] \lambda[/tex] and t.
Then, find t. When P = [tex]2P_0[/tex]
The Attempt at a Solution
I had problems with finding t.
t came out to be arcsin of something. The problem is, they never said anything about degrees or radians and so t could vary quite a bit, depending on that. Did I do it wrong or am I missing something out?
I don't have the exact question. It was in the exam I did two hours ago. All help is appreciated.
Thank you.
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