Quick questions on Area under and between curves: VCE Math Methods Unit 4

5short 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 wrong top and bottom for area between curves?

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Picking the wrong top yields a negative answer. The fix: test a value inside the interval and pick the larger.

What is sign error in subtraction?

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F(b) - F(a)

requires brackets when

F

has multiple terms. Sign errors here cascade.

What is q1?

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Find the area between

y = x^2

and the

x

-axis on

[0, 3]

. [2 marks]

What is q2?

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Find the total area between

y = x^2 - 1

and the

x

-axis on

[0, 2]

. [4 marks]

What is q3?

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Find the area enclosed between

y = 4 - x^2

and

y = x + 2

. [4 marks]

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