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• Users: knv
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1. ### Three charges are at the corners of an isosceles triangle

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...
2. ### Interval of Convergence

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...
3. ### Show that the series is convergent

would it be 999,998 terms ?
4. ### Show that the series is convergent

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...
5. ### Series - convergent or divergent?

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...
6. ### Area of polar curves

I had found 1/2 earlier and it was counted wrong.
7. ### Area of polar curves

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 2∫(1/2)(1-cos4θ)dθ -...
8. ### Area of polar curves

I got the answer 1/4. Does anyone know if that is correct before I use my last attempt?
9. ### Area of polar curves

can I solve for half of the area using only one of the functions and then doubling it?
10. ### Area of polar curves

Yeah I did that. And the inner one is 2 sin θ and the outer one is 2 sin 2θ They cross at 0 and π/4 Correct?
11. ### Area of polar curves

Im still having trouble with this problem. Can anyone help? Please I am so lost. Just need some help on setting it up and getting it started
12. ### Cartesian Equations

yes. I always get things wrong just because its not in the form the software wanted. Miss when we could turn homework in on paper haha
13. ### Area of polar curves

∫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?
14. ### Cartesian Equations

the answer was more simple than I thought. x2+y2=9x Thanks!
15. ### Area of polar curves

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:
16. ### Area of polar curves

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...
17. ### Cartesian Equations

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?