# how to draw it?

• Feb 8th 2010, 04:00 PM
jacek
how to draw it?
On the test I was asked to calculate the area of a region bounded by:
$\displaystyle x=0$
$\displaystyle y=0$
$\displaystyle x=1$
$\displaystyle y={1 \over \sqrt[3]{x^2}}$

What's the easiest way to draw the latest line on the graph? Surely, at home I can use calculator to calculate y for x'es, or even Wolfram Alpha to do whole work for me, but during tests we are not allowed to use any of them.
• Feb 8th 2010, 04:10 PM
Plato
.
• Feb 9th 2010, 01:01 AM
jacek
Hello Plato!

As I said before - it's easy to plot this graph on the computer, but what is the method of doing it on paper without calculator in the fastest way?
• Feb 9th 2010, 02:22 AM
HallsofIvy
The same way you graph anything. Make a list of x values between 0 and 1, calculate the corresponding y values, plot the points, and draw a smooth curve through them.
• Feb 9th 2010, 02:58 AM
jacek
ok, but how can I find cube root of, let's say, 1/4?
• Feb 9th 2010, 10:04 AM
jacek
Anyone? :)