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anonymous

  • 5 years ago

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?

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  1. dumbcow
    • 5 years ago
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    to maximize h, differentiate and set equal to 0

  2. dumbcow
    • 5 years ago
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    for part b) substitute 10 for x for part c) substitute 8 for h and solve for x

  3. anonymous
    • 5 years ago
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    what is the answers when you differentiate? I am unsure

  4. dumbcow
    • 5 years ago
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    given f(x) = x^n f'(x) = n*x^(n-1) apply this to your function -3/64 x^2 +27

  5. anonymous
    • 5 years ago
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    this is confusing can't you work it out I don't understand. Thanks

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