A restaurant offered cooking classes on 18 of the 45 days in November. What decimal is
equivalent to the fraction of days in November
that classes were offered at the restaurant?

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Ответ:

lizzy6629

20.06.2022

Mathematics

Please find the complete question in the attached file.

Step-by-step explanation:

Calculation with Lagrange multipliers of its optimum restricted places,

$f_x = 2\ \ \ \ \ \ \ \ \ \ \ \ \ g_x = 2x\\\\f_y = 1 \ \ \ \ \ \ \ \ \ \ \ \ \ g_y = 2y\\\\$

Set the multiplier formulas for Lagrange:

$f_x = \lambda g_x \to 2 = \lambda 2x ............ (i)\\\\f-y = \lambda g_y \to 1 = \lambda 2y................ (ii)\\\\constraint: \\\\\to x^2 + y^2 = 5 .................... (iii)\\\\Taking \ (i)\ divides\ (ii), \ (assuming\ \lambda \neq 0)\\\\\frac{2}{1}=\frac{\lambda 2x}{\lambda 2y}=\frac{x}{y}\\\\\therefore \\\\2y = x\\\\Sub\ into\ (iii)\ to\ find\\\\4y^2 + y^2 = 5 \to y = \pm 1\\\\$

We get solutions (x,y)=(2,1) and (−2,−1) if combined with 2y = x. These are all the identical points we obtained in (c) and we know the f(2,1) is the max, whereas f(−2, −1) is a minimum.

Use Lagrange multiplier method to find the maximum and minimum values of (, , ) = − 2 + 5 On the sph

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A restaurant offered cooking classes on 18 of the 45 days in November. What decimal is equivalent to the fraction of days in November that classes were offered at the restaurant?