Question

1)| The region bounded by f(x)=−1x^2+5x+14 x=0, and y=0 is rotated about the y-axis. Find the volume of the solid of revolution.

Find the exact value; write answer without decimals.

2) Now compute s4, the partial sum consisting of the first 4 terms of ∞∑k=1/7√k5:

s4=

3) Test the series below for convergence using the Ratio Test.
∞∑n=1 n^2/0.9^n
The limit of the ratio test simplifies to limn→∞|f(n)| where
f(n)=
The limit is:

Answer 1