Recent content by islandboy401

  1. I

    Capacitance in Parallel and in Series

    Thanks...I understand what I did wrong.
  2. I

    Capacitance in Parallel and in Series

    Homework Statement In the FIGURE (shown below in "attempt at solution" section), find the equivalent capacitance of the combination. Assume that C1=10 nF; C2 = 5 nF; and C3 = 4 nF. Homework Equations For parallel capacitors: Ceq = C1 + C2 + C3 +... For series capacitors...
  3. I

    High School Can a stiffer spring help my Newton Scooter travel 1.5 meters?

    I am trying to construct a Newton Scooter (one powered by Newton's Third Law) using a spring. Basically, I am supposed to make the scooter travel 1.5 meters. I've tried using a spring from a retractable pen, but the vehicle I constructed seems to be going nowhere. It seems as though too much...
  4. I

    The Sum of a series with exponents

    Thanks for all the hints...but now, I have another problem. I obtained an answer of 50/3...however, the solution booklet says the answer is 20/3... Here is my work: Is this a typo in the manual, or is my answer truly wrong? If so, please tell me where I messed up.
  5. I

    The Sum of a series with exponents

    I have factored out the k=1 term...yet, I still do not know exactly what to do. I wrote out the series for both the numerator and the denominator, yet I do not see what to do next. Here is my work: Another hint at the problem solving process will be greatly appreciated. Thanks.
  6. I

    The Sum of a series with exponents

    Homework Statement Problem: Indicate whether the series converges or diverges. If it converges, find its sum. THE SERIES: Homework Equations The ratio test and w/e equation is used to find the sum of this particular series The Attempt at a Solution I was able to find...
  7. I

    Undergrad Can the Nth Derivative Formula for ln(x) Be Extended to ln(x+c)?

    Is there a formula or a method to derive the nth derivative of ln (x+c)...(where c is any number...such as 1, 2, 3, etc)? I know that there is a formula for the nth derivative of ln x, but I was wondering if this formula can be extended to one we can use when we are dealing with the nth...
  8. I

    Power Series for e^x Homework Help

    Homework Statement Problem: Find the value of b for which Homework Equations Power series for (1/1+x) or in this case, power series for (1/1+b) The Attempt at a Solution I keep getting ln (-5/6) as the answer, but apparently the correct answer is ln (5/6). I do not see why...
  9. I

    Undergrad How Can You Use a Fact to Evaluate Limits?

    Using a fact to find a limit?? If I were given a problem to find this limit: using the fact that how would I do it? I know how to evaluate this limit using L'Hopital's Rule...but I am not to sure on evaluating using this "fact."
  10. I

    Undergrad Generating McLaurin Series for ln (1+x^2)

    Thank you very much HallsofIvy...
  11. I

    Undergrad Generating McLaurin Series for ln (1+x^2)

    I am having trouble generating a MacLaurin Series for ln (1+x^2) Please help me out on this.