MatheMathe

Is it okaay to keep driving for a few days even though the heated oxygen sensor bank 1 sensor 2 circuit is low voltage? I know nothing about cars any help is greatly apreciated.

please show me the work so i know how to do it thank you

here is my work let me know if i'm right please and thank you!

Σ[j=0,∞] 1/(j^(2)*3^(j)) = lim[j->∞] I(1/(((j+1)^2)*(3^(j+1)))) / (1/j^2*3^j)I = lim[j->∞] I(j^2)/((j+1)^2)(3)I = 1/3 and (1/3)<1 so its convergent

i do need help for

Σ[k=1,∞] ((i^k)-(1/(k^2))

thanks

you can use different examples to show me how, but here are a few I found in my book,

1.) Σ[j=0,∞] (z^j)/(j^(2)+1)

2.) Σ[k=1,∞] [(((-1)^k)*k)/(4^k)]*[(z+3)^k]

3.) Σ[k=0,∞] k!((2z+1)^(k+1))

thank you!

i understand everything except for how you got the negative to my other question.

http://answers.yahoo.com/question/index;_ylt=At8L6...

the lines x=+-5 and y=+-5 traversed in the positive sense.

traversed once in that order. what is the length of this contour?

here is my work so far but the back of the book shows a slightly different answer where am i going wrong?

in real notation the vertices would be (-1,-1), (1,-1), (1,1), (-1,1)

i) (-1,-1) to(1,-1)

z(t)= (-1-i)+t[(1-i)-(-1-i)]=-1-i+2t

i did the rest pretty much same as above and got

ii) (1,-1)to(1,1)

z(t)=1-i-2it

iii)(1,1)to (-1,1)

z(t)=1+i-2t

iiii)(-1,1)to(-1,-1)

z(t)=-1+i-2t

so that's as far as i get =( how do i find the length and how do i do this correctly. thank you!

evaluate ∫c [(6/((z-i)^2))+(2/(z-i))+1-3(z-i)^2]dz where c is the circle Iz-iI=4 traversed counterclockwise?

i know the answer is 4pi(i) but how would i do it step by step...thank you!

compute the taylor polynomials of degree 4 for the solutions to the given initial value problem (dy/dx)=x+y; y(0)=2. Use these taylor polynomials to approximate the solution at x=1.

be expressed as y(x)=e^(-x^(2))(e^(4)+int[2,x] e^(t^2)dt

and use numerical integration (such as simpson's rule) to approximate the solution at x=3.