Randolph College
Department of Mathematics and Computer Science

 

Homework # 7 - Math 1150


The problems on this homework must be done alone.  The honor code is in effect.

You may submit the solutions twice, if you wish.

 First Name:  Last Name:

 

1. Which integral would you have to evaluate to determine the length of the curve \(y = x^2\) between \(x = 0\), and \(x = 1\)?

a.  \(\pi\int_0^1 \sqrt{1 + x^2} dx\)

b.  \(\pi\int_0^1 \sqrt{1 + 4x^2} dx\)

c.  \(\pi\int_0^1 \sqrt{1 + 2x^2} dx\)

d.  \(\pi\int_0^1 \sqrt{1 + 2x} dx\)

e.  \(\pi\int_0^1 \sqrt{1 + x} dx\)