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kobusy [5.1K]
2 years ago
5

There are nine baseball players in the cafeteria The number of baseball players is one less than twice the number of golfers fin

d the number of golfers
Mathematics
1 answer:
Julli [10]2 years ago
3 0

Using a system of equations, it is found that the number of golfers in the cafeteria is of 5.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Number of baseball players.
  • Variable y: Number of golf players.

The number of baseball players is one less than twice the number of golfers, hence:

x = 2y - 1.

Since x = 9:

9 = 2y - 1

2y = 10

y = 5.

There are 5 golfers in the cafeteria.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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Answer:

D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}

Step-by-step explanation:

We need to find the directional derivative of the function at the given point in the direction of the vector v.

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Then the directional derivative is

D_{\vec{u}}f(x,y,z)=(e^{y}+ze^{x})(\frac{6}{\sqrt{54}})+(xe^{y}+e^{z})(\frac{3}{\sqrt{54}})+(ye^{z}+e^{x})(\frac{-3}{\sqrt{54}})

so, directional derivative at point (0,0,0)

D_{\vec{u}}f(0,0,0)=(e^{0}+0e^{0})(\frac{6}{\sqrt{54}})+(0e^{0}+e^{0})(\frac{3}{\sqrt{54}})+(0e^{0}+e^{0})(\frac{-3}{\sqrt{54}})

D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}+\frac{3}{\sqrt{54}}+\frac{-3}{\sqrt{54}}

D_{\vec{u}}f(0,0,0)=\frac{6+3-3}{\sqrt{54}}

D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}

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