Food for thought

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## Problem

What can you say about the area under each function on the two cards below, between $x=1$ and $x=2$?

Which is greater?

 (a) $f(x)=\left(4-x^2\right)^{\frac{1}{2}}$ (b)
• What’s the same and what’s different about these two functions?

• How might this affect your approach if you wanted to calculate the area under each?