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QLDMath MethodsQuick questions

Unit 3: Further calculus and statistics

Quick questions on Applications of integration: area, average value and kinematics (QCE Mathematical Methods Unit 3)

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are area between two curves?
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For two curves y=f(x)y = f(x) and y=g(x)y = g(x) on [a,b][a, b] where f(x)≥g(x)f(x) \geq g(x):
What is average value of a function?
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The average value of ff on [a,b][a, b] is
What is wrong factor on the average value?
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The denominator is b−ab - a, not bb alone. A common slip on a [0,b][0, b] interval gives the right answer by coincidence and then the wrong answer everywhere else.

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