1. Three charges are at the corners of an isosceles triangle as shown in the figure. The +q1 = 5.05 uC and -q1 = 5.05 uC charges form a dipole.
A) Find the magnitude and direction of the net force that the q2 = 8.50 uc charge exerts on the diple.
B) For an axis perpendicular to the line...
1. Find the radius and the interval of convergence for the series:
Ʃ n=2 --> inf : [(-1)nxn]/ [4nln(n)]
2.To find the radius, we use the alternating series test. **an+1/an
3. From the alternating series test I find that the limit as n --> inf = 4. So our radius is 4...
1. Show that the series is convergent and then find how many terms we need to add in order to find the sum with an error less than .001
Ʃ (-1)(n-1)/ √(n+3)
from n = 1---> infinity
2. I took the derivative.
3. f(x) = (x+3)-1/2
f'(x) = -1/2 (x+3)-3/2
Then I set up the...
Series -- convergent or divergent?
1. Determine whether the following series is convergent or divergent. When a series is convergent, find the sum. If it diverges, find if it is infinity, - inf, or DNE.
Ʃ [(1/na) - 1/ (n+1)a]
2. we are finding if a >0
3. I know that it...
No i had watched a video where a guy did that so I wasn't sure if it would work in this case.
I worked it out doing what you told me to do and came up with the answer 1/4.
Can you tell me if that is correct?
∫0->π/4 = ∫1/2 (4sin2 2θ) dθ -∫1/2(2 sin 2θ) dθ
∫sin2(θ) - ∫ sin2(2θ)
since sin2 = 1/2(1-cos 2θ) we plug it in and bring the 1/2 to the front of each integral giving us..
1/2∫(1-cos 2θ) - 1/2∫(1-cos 4θ)
am I heading in the right direction? how do I find the bounds?
Well I don't exactly know how to even start this problem but let's see.
∫2sin(2θ) - ∫2 sin(θ)
do the bounds change for the first one to π/4? Any hints on how to even start this problem. I am not looking for an answer. I do not understand my books explanation so I am really lost :confused:
1. Given the curves r = 2sin(θ) and r = 2sin(2θ), 0≤θ≤π/2, find the area of the region outside the first curve and inside the second curve
2.not sure which equations to use
3. I got 1 and 1/2 as the area and they were wrong. I do not really know how to work this problem. A...
1. Find a Cartesian equation to represent the curve r = 9 cosθ
2. I know that rcosθ= x and cos θ= x/r
3. I got (x-9/2)^2 +y^2 = (9/2)^2 but its coming up wrong when I put it into our online homework. Can anyone help me?