# Search results

2. ### Expressing a series as a function

Ok, thank you for your advice. I guess i will do a bunch of questions to drill it into my brain. I wrote down those taylor series before your reply because i kept seeing them online. Well, at least i only have to memorize 4. Again thank you.
3. ### Expressing a series as a function

I can't seem to be able to come to the conclusion that you have gomunkul51 unless i follow the method used from the following site http://www.cliffsnotes.com/study_guide/Taylor-Series.topicArticleId-19736,articleId-19727.html" [Broken] I know i should probably just stay quiet and deal with it...
4. ### Expressing a series as a function

Thank you, i now know which chapter to re-read. Greatly appreciated.
5. ### Expressing a series as a function

Homework Statement I seem to have forgotten how to express a series as a function. I took calc 2 over the summer so we rushed through everything and i don't think all that information got a chance to settle. So here is the question. I'm going to try using syntax but i will write it out as...
6. ### Catenary - find rope length Maple must be used

I have solved the problem, but it makes me feel good to see that a bunch of people viewed the thread and no replies. I assume it was a brain buster for the people who viewed it. Fact remains I couldn't find an exact value, but i achieved the desired decimal place accuracy.
7. ### Catenary - find rope length Maple must be used

Homework Statement Utilities companies usually use a separation between poles about 340 feet. These poles are 34 feet tall and due to restrictions due to maximum height of trucks using interstates and state routes, the minimum clearance is 20 feet (and also considering the increase of sag...
8. ### Area of a vertically sliced circle

I do need to use calculus. I need to use trigonometric substitutions and integration. The method provided by HallsofIvy is the one i must use. I followed through with the integral but now I am stuck at trying to solve for X. What I have is: sin^-1(x/7)+sin(2(sin^-1(x/7))) = pi/6...
9. ### Area of a vertically sliced circle

Homework Statement A circle of radius 7 inches is sliced vertically, parallel to the y-axis, into three pieces. Each piece has an equal area. What is the width, x-axis, of each piece? Homework Equations f(x)= +/- sqrt((r^2)-(x^2)) where "r" is the radius. The Attempt at a...
10. ### Complex area between curves problem.

Excellent. Thank you for your help. I really appreciate it. I am a new member on this site and I will try and contribute as much as possible as a sign of my gratitude.
11. ### Complex area between curves problem.

I did it using Maple. Much quicker and easier but it really frustrated me that I couldn't do it by hand. I'm sure I made an error somewhere and with finals coming up i don't have the leisure time to be go over it again. As for the absolute value "a" i thought i knew why, but when i thought...
12. ### Complex area between curves problem.

I created an equation for the integral I. Each time I solved for an unknown I plugged it into the equation of the integral so as to eliminate the unknowns in it as well. My result was an answer too long to type and impossible to simplify further. I am going to try this using Maple as that is...
13. ### Calculating the limit

I'm not sure, but I think L'hopital's rule may work. http://en.wikipedia.org/wiki/L%27H%C3%B4pital%27s_rule
14. ### Complex area between curves problem.

So i have the three equations: (1) 3a(B^2)+2rB+s=0 (2) a(A^3)+r(A^2)+sA+t=0 (3) a(B^3)+r(B^2)+sB+t=0 I equated (2) and (3) to remove "t" from the equation and my result was: (4) a((A^3)-(B^3))+r((A^2)-(B^2))+s(A-B)=0 I solved for "s" in equation (1): (1) s=-3a(B^2)-2rB...
15. ### Complex area between curves problem.

Ok, you were tremendously helpful in moving me along, but i seem to be stuck once more. I used substitution rules and was able to get rid of two of the four variables. I ran out of equations to use to get rid of the last unknown. Any thoughts as to where I may be going wrong.
16. ### Complex area between curves problem.

Homework Statement I am working on a Calculus I project and the last question has me stunned. I would really appreciate some assistance in this. Maybe a push in the right direction. So here is the problem word for word. There is also an attachment containing a picture of the problem...
17. ### Challenging Indefinite Integral e^arccos x

Wow. I would say I can't believe how simple the question truly was, but trigonometric identities always get me. Thanks for pointing that out to me. I appreciate the help.
18. ### Challenging Indefinite Integral e^arccos x

Homework Statement Integrate: ((e^arccos(x))(dx))/(sqrt(1-x^2)) Image of the question is attached. Homework Equations The Attempt at a Solution I think i took the right first step for substitution: u=arccos(x); cos(u)=x; (du)(-sin(u))=dx Substituting u into the...