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Home » Second derivative confirms maximum (negative concavity). - GetMeFoodie

Second derivative confirms maximum (negative concavity). - GetMeFoodie

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 The perimeter P is given by P = 2(length + width).

📌 Dimensions are 30 meters by 60 meters.

📌 From the second equation, express x in terms of y:

📌 Limit as x approaches 2 of (x + 2) = 4

📌 A loan of $5000 is compounded annually at an interest rate of 5% for 3 years. Calculate the total amount after 3 years.

📌 Here, P = $5000, r = 0.05, n = 1, t = 3

📌 #### 5788.125Question: A cylindrical water reservoir has a height of $8$ meters and a radius of $3$ meters. What is the ratio of its volume to the volume of a spherical reservoir with radius $3$ meters?

📌 Question: An ancient circular plaza in the Andes has a radius of $10$ meters. A smaller circular fountain is placed at its center with a radius of $2$ meters. What is the area of the plaza not occupied by the fountain?

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First, we list the integers from 1 to 12 and their residues modulo 5:
We categorize the numbers by residue modulo 5:
We analyze the possible unordered residue combinations:
We consider all ordered partitions up to symmetry.
Case 2: Two identical, one different
Total from two-same: 6 + 9 + 2 + 3 = 20

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