Can you at least show some work and your own thoughts on these problems? It'd be easier for us to point you in the direction than starting right from scratch.
Can you help me solve my problem set please? I already solved no 3 and am working on the others. but as of now, finishing it is far and deadline's on monday. Really need to finish this all but can't do it without help from you guys. please help me. thanks!
Download: Probset download - utf-8__probset.pdf
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1. I dunno if i have to: find a formula for P, or have to do it with h. Anyways, i have no clue how to do it.
2. I got a guess, it's: x/((n+1)x+1). i got it by observing f1,f2...fn. it seems that the coefficient of x on the denominator only increments by 1. can someone verify it?
3. i already solved it. and im a hunded percent sure of my answer!
4. i thought about graphing the equation by replacing c to y, but from the graph, dont know how to extract the answer from it.
5. have zero clue on how to do it.
6. the problem here is that i can't think of an integral of (sin t)/t..
7.a. is there a property where f(a-b)=f(a)-f(b)?
b. if i solve a., this would be easy.
will that mean i can now use L'Hospital's rule? because if is zero, then x multiplied by it is zero too? (with the denominator, it's obviously zero) so all i have to do is... use L'Hospital's rule! Yes, i think that what you're thinking too! A BIG tHANKS! Thank you very much! (4 to go, still not sure with TheEmptySet's answer)
is the answer for no.6 sin 3?? please someone confirm it thanks
Looks good to me. Using l'hopital leads to using FTC which you seem to have gotten so that's good.
Sorry if I'm just doing random questions but I don't have time to go through everything in one sitting and just picking random ones I see.
2. That looks good to me as well. I'm not sure if you have to prove it or not but you could probably do it with induction.
1. Let the triangle have sides x, y, and h. So:
Now, by the Pythagorean theorem: . Since we're dealing with , let's square P as well:
Now you should be able to group the right side into terms of P and h. AFter that, solve for h.
Already solved numbers 1, 3, 5, and 6.
Numbers not yet solved are 2, 4, 7.a, and 7.b..
2: the formula is x/((n+1)x+1) but i still don't know how to prove it with induction yet.
4: graphing it seems to solve the problem, but still, can't extract the answer there
7.a, 7.b: EmptySet's answer is still not clear. can someone explain it?
4. If you consider , what can you deduce from the graphs? If you consider c > 0, then the parabola must touch ln(x) at one point and curve away. So, there is a line that passes through this point that acts as a tangent to both curves. i.e. .
We must prove that:
This should be easy. Just simple algebraic manipulation