Recent content by aces9113

Thank you very much for the help. Would it be possible for anyone to check my work, I got y=(2.88*e^(x)+64.43653296)/(0.0016*e^(x)+1.0357980739) but apparently this is wrong

Homework Statement Determine the solution to the initial value differential equation: y'=0.0016 y (1800 − y), y(0)=66 Homework Equations Getting x's on one side and y's on the other and integrating. Then solve for c The Attempt at a Solution I'm in calc 2 and this is the first time we...

thank you so much! that was incredibly helpful

Homework Statement i need to make the function 1/(1+7x)^2 into a power series that goes from n=1 to infinity. I know that i have to get the answer through differentiating because the for the previous problem, i found that the function 7/(1+7x) resulted in ( -1 )^n* 7*7^n*x^n when n=0 to...

could someone please explain how to do this the binomial series way, I've never learned it

we've never gone over anything called binomial series. please elaborate or simplify!

Homework Statement Determine the series for the function g(x)=1/(1+7x)^2Homework Equations ______∞___________________∞ 1/(1-x)=∑ x^n and 1/(1-x)^2=∑nx^(n-1) ______n=0________________n=1 The Attempt at a Solution I tried to apply those equations as best I could...

yes but I'm not entirely sure how to do them. when I do that, I am left with 60^(1/3) and then 60^(1/infinity+3) - 60^(1/infinity+4) which would end up being 60^(1/3) since the others cancel but this is wrong. what am i doing wrong?

Homework Statement ∞ ∑ ( 60^(1/(n+3)) − 60^(1/(n+4)) ) n = 0 Homework Equations I believe this is a geometric series so the sum would equal a/(1-r) The Attempt at a Solution I tried to view it as a geometric series but i had trouble finding a ratio, especially what i thought...

Homework Statement ∞ ∑ 2/(n^2+15n+54) n = 0 Homework Equations sum=a/1-r The Attempt at a Solution I've tried many different combinations trying to use the above equation but I'm kinda lost. i tried to do 2/70 divided by 1-(2/70) and various other combinations but i can't...

could someone please check my answer? i got 2 +pi/3 - sqrt(3)

I understand that based on the sketch. But would i possibly do the area of one propeller minus (area of the outside curve-the inside curve) and then multiply that by two? I'm lost when it comes to setting this one up

Homework Statement Find the area of the region that lies inside both curves: r^2=2sin2θ, r=1 Homework Equations A=integral 1/2 (f(θ)^2-g(θ)^2) from a to b The Attempt at a Solution I found the points of intersection as pi/12,5pi/12,13pi/12,17pi/12 but the fact that its inside both of...

Can someone please help? I think I've fixed the link to the pictures and i still need assistance if possible

except the angle is not 20 deg but only theta in my picture