#Differentiation
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For part (a) find an expression for the volume in terms of x and y, equate it to 9600 and rearrange to make y the subject
split the volume up into the rectangle bit and triangle bit
work out eqs for volume for both
add together
then rearange to get y
24x^2 y + 6x^2 y = 9600
24 bit is the rectangle volume
6 bit is the triangle
Or you can use area of trapezium