1) find the are of the region that lies inside of the curve r=
1+ cos theta and outside the curve r=3 cos theta.
2) find the sum"
En=1 3^{1-n}:2^{n+2}
3) find
integration ( 2x^2 +1) e^x^2 dx
4) Does:
E n=12 ((2n)!/(n!)^2) converge or diverge ? justify your answer
( what test?)
f(r,?)
f(x,y)
r(cos(?))
= x
r(cos(2?))
= ?
r(cos(3?))
=
x3-3xy2/x2+y2
r(cos(4?))
= ?
r(cos(5?))
= ?
Please complete this table. I am having trouble converting
functions from polar to cartesian in the three dimensional
plane.
I understand that x=rcos(?) and y=rsin(?) and r2 =
x2 + y2 , but I am having trouble
understanding how to apply these functions.
There is a circle with a smaller circle inside of it. What's the
electric field for the hollow sphere, with an inside radius 'a' and
outside radius 'b?'
1. r > b
2. r = b
3. a < r < b
4. r = a
5. r < a
The space between a and b is filled with dense material rho.
1. If the radius r of a circle is measured to be r 0.325
+\- 0.001 m, then calculate the area of the
circle A =3.14 r^2, as well as the uncertainty in the
area.
2. Explain the difference between precision and
accuracy.
3. Do systematic errors affect precision or accuracy? Do
random errors affect precision or accuracy?
1. Find a Cartesian equation for the curve.
r cos(θ) = 2
Identify the curve.
2. Find a Cartesian equation for the curve.
r = 4 sin(θ)
Identify the curve.