Sketching graphs with square roots.

• November 13th 2009, 12:34 AM
Sunyata
Sketching graphs with square roots.
Sketch the curve $y = sqrt(a^2 - x^2)$ and give a geometric interpretation of each term of your integral.

Could someone explain to me how to do this question please? What on earth does the curve look like and what is geometric interpretation???
• November 13th 2009, 02:08 AM
mr fantastic
Quote:

Originally Posted by Sunyata
Sketch the curve $y = sqrt(a^2 - x^2)$

and give a geometric interpretation of each term of your integral. Mr F says: What integral? I see none.

Could someone explain to me how to do this question please? What on earth does the curve look like and what is geometric interpretation???

$y = \sqrt{a^2 - x^2} \Rightarrow y^2 = a^2 - x^2 \Rightarrow y^2 + x^2 = a^2$. So what you have is the upper half of a circle ....

(Assuming that the integral you refer to is the integral of this function, the geometric meaning of it should now be clear).