To start with, you should know that and .
Please help me with whatever you're able to. And try to explain what's going on in the solving process. I want to understand this, not just get answers. Thank you so so much!!!
identify the curve by finding a cartesian equation for the curve:
r cos (theda) = 1
Find a polar equation for the curve represented by the given Cartesian equation:
x + y = 9
Find the area of the region that is bounded by the given curve and lies in the specified sector
r = e^(theta/2), pi less than or equal to theta less than or equal to 2pi
find the area enclosed by the curve
r = 2-sin(theta)
Find the area of the region that lies inside both curves
r = 1 + cos(theta), r = 1-cos(theta)
Determine whether the sequence converges or diverges. If it converges, find the limit.
a(n)= [(-1)^n * n^3]/[n^3 + 2n^2 +1]
{arctan 2n]
[ln(n)]/[ln(2n)]
Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded?
a(n)=ne^-n
so it would be x=rcos(th) and y=rcos(th), giving the line x=1 for the first question?
and for the second, x+y=9, would x^2 + y^2 = r^2 would give, r=sqrt(x^2 + y^2) and theta=arctan (y/x)? and that would be, what? rcos(th) + rsin(th)=9?
And how do I approach the areas and series problems?