Homework Statement
Al and Bert are jogging side by side on a trail in the woods at a speed of 0.75 m/s. Suddenly, Al sees the end of the trail 35 m ahead and decides to speed up to reach it. He accelerates at constant rate of 50 m/(s^2) while Bert continues on at a constant speed. (a) How...
Power Series:(n^n)*(x^n)
Homework Statement
The only step I'm having problem with on this problem is when I take the Lim n→∞ of the problem. I want to know how to cancel the n^n on the denominator during one of the steps.
Homework Equations
∞
Ʃ (n^n)*(x^n)
n=1
The Attempt at a...
Homework Statement
I'm this series to see if it's convergent or divergent. I tried the root test, but it came out inclusive, and now I am trying to figure out if the ration test works. The only thing I'm asking which would be the right test for this.
Homework Equations
∞Ʃn=1...
Oh. It seems that I have been doing this the wrong way since I haven't been introduced to Ci before. I'll make sure to double check my steps this time.
Homework Statement
The question in the book is: "Use the sum of the first 10 terms to approximate the sum of the series. Estimate the error.
My problem is estimating the error I'm looking for. I just need help with finding the integral.
Homework Equations
((sin n)^2)/(n^3)
The...
Homework Statement
Determine whether the series converges or diverges.
What I would like is some type of information on how to continue the problem.
Homework Equations
∞
Ʃ √(n+1)/2n^2+n+1
n=1
The Attempt at a Solution
I was thinking of doing a comparison test by doing...
Homework Statement
Find all points of intersection of the given curve.
Homework Equations
r = 1 - cos θ, r = 1 + sin θ
The Attempt at a Solution
1 - cos θ = 1 + sin θ
1 = 1 + sin θ + cos θ
0 = sin θ + cos θ
After that step, I blank out and can't think about how to get any...
Homework Statement
This a problem that I didn't get completely right after a test, so I wouldn't mind figuring out what were my errors.
A state game commission releases 40 elk into a game refuge. After 5 years, the elk population is 104. The commission believes that the environment can...