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Use Lagrange multipliers to prove that the triangle with maximum area that has a given perimeter p is equilateral.
Hint: Use Heron’s formula for the area:
where s = p/2 and x, y, z are the lengths of the sides.
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Chapter 14 Solutions
Calculus: Early Transcendentals, Loose-leaf Version, 9th
- A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.arrow_forwardIf MNPQ is a rhombus, which formula from this section should be used to calculate its area? Exercise 46arrow_forward
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