anonymous
  • anonymous
The height of an arch is given by the formula h(x) = - 3/64 x raised to the power of 2 +27, where x is the horizontal distance from the center of the arch? a) What is the maximum height of the arch? b) What is the height of the arch 10ft from the center? c) How far from the center is the arch 8ft high?
Mathematics
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anonymous
  • anonymous
The height of an arch is given by the formula h(x) = - 3/64 x raised to the power of 2 +27, where x is the horizontal distance from the center of the arch? a) What is the maximum height of the arch? b) What is the height of the arch 10ft from the center? c) How far from the center is the arch 8ft high?
Mathematics
jamiebookeater
  • jamiebookeater
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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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dumbcow
  • dumbcow
to maximize h, differentiate and set equal to 0
dumbcow
  • dumbcow
for part b) substitute 10 for x for part c) substitute 8 for h and solve for x
anonymous
  • anonymous
what is the answers when you differentiate? I am unsure

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dumbcow
  • dumbcow
given f(x) = x^n f'(x) = n*x^(n-1) apply this to your function -3/64 x^2 +27
anonymous
  • anonymous
this is confusing can't you work it out I don't understand. Thanks

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