Find the area of the region bounded by the given curves. y = 9x2 ln(x), y = 36 ln(x)

Alrighty
find where they intersect

9x²ln(x)=36ln(x)
divide both sides by 9
x²ln(x)=4ln(x)

so

so x=1 and and 2 (x can't be 0 or -2 because ln(0) and ln(-2) don't exist)

so intersect at x=1 and x=2
which is on top?

9(1.5)²ln(1.5)=20.25ln(1.5)
36ln(1.5)=36ln(1.5)
36ln(1.5) is on top
so

that will be
the area is




the area between the curves is 48ln(2)-29

Answer for 2: his profit would be $2.88 explanation: you have to first multiply 72 and 0.12 together to get $8.64 once you do that you know how much money the shopkeeper made from selling the candy bars individually. so you have to do 8.64-5.76=2.88 hope that ; )answer for 3: yeah i’m sorry i have no idea what number 3 is. i’m sorry i couldn’t with that.