Question
A small cuboid box has a rectangular base of length 3x cm and a width x cm, where x>0. The height is y cm, where
A small cuboid box has a rectangular base of length 3x cm and a width x cm, where x>0. The height is y cm, where y>0. The sum of the length, width and height is 12cm.
Expression for y in terms of x: y=12-4x
Expression for V in terms of x: V=-12x^3+36x^2.
- Find dV/dx
- Find the value of x for which V is a maximum
- Justify the answer to #2
- Find the maximum volume .
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Modeling the Dynamics of Life Calculus and Probability for Life Scientists
Authors: Frederick R. Adler
3rd edition
840064187, 978-1285225975, 128522597X, 978-0840064189
