please help with co-ordinate geometry/graphs (question attached)

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please help with co-ordinate geometry/graphs (question attached)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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1 Attachment
Take the derivative
(4,18)

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Other answers:

y' = 3x^2-18x + 24. Set it equal to 0: 3x^2-18x+24=0 Solve for x: x^2 - 6x + 8 = 0 (x-4)(x-2) = 0
Another maxima-minima problem.
x = 4 y = 4^3 - 9*4^2 + 24*4 +2 = 18
  • phi
@bah (x-4)(x-2) = 0 x=2 is a local maximum
woops sorry lol, u're right. I don't even know where i got that 0 from (probably from the graph) haha
  • phi
just don't want to confuse indiana. I'm sure you know what is going on...

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