Project #77904 - Calculus Homework

1. Determine whether the improper integral converges, and compute its value if it does:

integral from 2 to infinity ((e-2/x) / (x2)) dx

 

2. Compute the Taylor series of the function centered at x=0 and find its radius of convergence:

f(x)=ln(1+x2/9)

 

3. Let V denote the subspace of R3 spanned by the vectors:

[1             [1  

 0       ,     -1

-1]             0]

Find an orthogonal basis for V and compute the matrix of the projection transformation T:R3-->Rwhich sends T(v)=Projv(v)

Subject Mathematics
Due By (Pacific Time) 07/31/2015 07:00 pm
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