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...
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...
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.
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.
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...
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...
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...
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."