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balandron [24]
2 years ago
9

60422V175 - 2V20-+ 8/54528​

Mathematics
1 answer:
iren [92.7K]2 years ago
3 0

Answer: 100

Step-by-step explanation:

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Identify the vertex of the graph. Tell whether it is a minimum or maximum.
kolezko [41]

Answer: (-2, -2) minimum

Step-by-step explanation: since the graph is going upwards and the arch of the graph is the lowest point in the graph, it will be a minimum point. to find this minimum point, look at what point the lowest point of the graph (for this graph, it is (-2, -2) )

4 0
2 years ago
This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex
noname [10]

L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)

L_x=10+10\lambda x=0\implies1+\lambda x=0

L_y=10+10\lambda y=0\implies1+\lambda y=0

L_z=2+4\lambda z=0\implies1+2\lambda z=0

L_\lambda=5x^2+5y^2+2z^2-42=0

\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z

5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1

z^2=1\implies z=\pm1\implies x=y=\pm2

There are two critical points, at which we have

f\left(2,2,1\right)=42\text{ (a maximum value)}

f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}

3 0
3 years ago
How high is the moon
Allushta [10]

Answer:

The Moon is an average of 238,855 miles (384,400 km) away

3 0
3 years ago
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GalinKa [24]
Area of a circle is 75 cm².

Area of a circle is computed by multiplying pi to the square of the radius.

A = πr²

diameter = 10 cm
radius = d/2 = 10/2 = 5 cm
pi = 3

A = 3(5cm²)
A = 3(25cm²)
A = 75 cm²
7 0
3 years ago
Please help. What is the value of the expression when a = 3 and b = 2?     3a^3 + 2b^3
algol [13]
The answer is B. 97 3 x 27 + 2 x 8
8 0
3 years ago
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