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Home Continuous Functions Maxima and Minima - Applications Examples Example 3: Inscribing a Cylinder Into a Sphere Solution One: Eliminating One Variable | |||||||
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Solution One: Eliminating One Variable
Express V as a function of x by eliminating h. The problem is to find the maximum of V in the interval 0 ≤ x ≤ r.
CONCLUSION The maximum of V is at (see Figure 3.6.5). At that point,
Then the ratio of x to h is x/h = 1/√2. Notice that, as we expected, this number does not depend on r. Figure 3.6.5
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Home Continuous Functions Maxima and Minima - Applications Examples Example 3: Inscribing a Cylinder Into a Sphere Solution One: Eliminating One Variable |