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1 of 8 0-day streak

Approximate area by an endpoint or trapezium rule

Question 1 of 8

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The data for the approximation are given below

\[p(z)=2\,z + 9\]

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?

Use the stated rule and give the area approximation to the requested precision

(a)2 marks

Use the stated rule and give the area approximation to the requested precision

Give the exact value of the approximation

(b)5 marks

Find the endpoint height for every row in the table