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Approximate area by an endpoint or trapezium rule

Question 1 of 8

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Use the displayed rule to approximate the area under the curve

\[p(z)=2\,z + 6\]

The function is increasing on the interval [-1, 4]

Use the left-endpoint rectangle rule with 5 equal subintervals of width 1

Give the exact value of the approximation

The displayed rows give the subintervals and their selected endpoint
SubintervalEndpoint usedHeight
\([-1,\;0]\)left?
\([0,\;1]\)left?
\([1,\;2]\)left?
\([2,\;3]\)left?
\([3,\;4]\)left?

Find the approximate area, giving the requested precision

(a)2 marks

Find the approximate area, giving the requested precision

Give the exact value of the approximation

(b)5 marks

Find the endpoint height for every row in the table