Author Topic: Shading regions under functions? (Read 1133 times) Tweet Share

nickglyn · « **on:** October 16, 2016, 08:28:46 pm »

Hey guys. I'm just really stuck on shading regions, I've never been good at them. Can you answer this question from the 2009 paper? (Part c!) Thanks in advance!

RuiAce · « **Reply #1 on:** October 16, 2016, 08:53:49 pm »

Quote from: nickglyn on October 16, 2016, 08:28:46 pm

Hey guys. I'm just really stuck on shading regions, I've never been good at them. Can you answer this question from the 2009 paper? (Part c!) Thanks in advance!

$\textbf{You always commence by sketching the equality curves}\\ y=0\\ y=4-x^2$
$\text{And then test points.}$

$y \ge 0\text{ should not be hard to grasp.}\\ \text{That is the entire region above the }x\text{-axis.}$
$\text{So we don't care about what's below the }x\text{-axis anymore.}\\ \text{So now we just look at what's inside the parabola, and what's outside the parabola.}\\ \text{So we just test points.}$
$\text{Test a random point inside the parabola, say, }(0,1)\\ \text{Sub in }(0,1):\\ y\le 4-x^2\\ 1 \le 4-0^2\\ TRUE\\ \text{Hence shade that region inside the parabola.}$
$\text{Test a random point outside the parabola, say, }(0,3)\\ \text{Sub in }(0,3)\\ y\le 4-x^2\\ 9 \le 4-0^2\\ FALSE\\ \text{Hence do not shade that region inside the parabola.}$
$\text{And you're done.}$
$\textit{You did not reply to the query in your previous post regarding financial maths.}\\ \textit{Am I safe to assume that you understood it all.}$

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Author Topic: Shading regions under functions? (Read 1133 times) Tweet Share

nickglyn

Shading regions under functions?

RuiAce

Re: Shading regions under functions?

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