#Alevel maths q pure yr 2

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thorny flint
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Idek where to begin ๐Ÿ˜ญ what is this

keen grotto
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for part a you need to re-arrange the function into y in terms of x

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the actual structure is the same shape as the graph but stretched into 3 dimensions with a width in the z axis of 0.06m

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volume of a general prism = area * height (or depth in this case)

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the function is rearranged to y = 1/4sqrt(144-9x^2)

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therefore volume = 0.06*integral from 0 to 4 of (1/4sqrt(144-9x^2))dx

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therefore taking 1/4 out from the integral gives the desired result

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part b is just estimating the integral

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part c is dependant on where your basis points were for the estimate

thorny flint
chilly kernel