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bazaltina [42]
3 years ago
14

What is rlthe volume of this graghf

Mathematics
1 answer:
Romashka [77]3 years ago
7 0
Which one is it on that page
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Find the greatest solution for x+y when x^2+y^2 = 7, x^3+y^3=10
damaskus [11]

Answer:

4

Step-by-step explanation:

set

f(x,y)=x+y\\

constrain:

g(x,y)=x^2+y^2 = 7\\h(x,y)=x^3+y^3=10

Partial derivatives:

f_{x}=1\\f_{y} =1 \\g_{x}=2x \\g_{y}=2y\\h_{x}=3x^2 \\h_{y}=3y^2

Lagrange multiplier:

grad(f)=a*grad(g)+b*grad(h)\\

\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]

4 equations:

1=2ax+3bx^2\\1=2ay+3by^2\\x^2+y^2=7\\x^3+y^3=10

By solving:

a=4/9\\b=-2/27\\x+y=4

Second mathod:

Solve for x^2+y^2 = 7, x^3+y^3=10 first:

x=\frac{1}{2} -\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} +\frac{\sqrt{13}}{2} \\x=\frac{1}{2} +\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} -\frac{\sqrt{13}}{2} \\x+y=-5\ or\ 1 \or\ 4

The maximum is 4

6 0
3 years ago
A total star eclipse occurs when the moon passed between the sun and the earth causing the sky to go dark. The length of darknes
skad [1K]
2 minutes and 23 seconds
8 0
4 years ago
5456.3 mi to the nearest mile
blondinia [14]

Answer:

54.56

Step-by-step explanation:

The number after the point is not 5 or higher

8 0
3 years ago
A sled is initially given a shove up a frictionless 28.0 degree incline. It reaches a maximum vertical height 1.35m higher than
QveST [7]
The problem ask to calculate the initial speed of the sled that was shove up a frictionless 28 degree incline and reaches a maximum vertical height of 1.35 m than it started and the initial speed of the sled is 5.14 m/s. I hope you are satisified with my answer 
8 0
4 years ago
An example of exponential growth is y=2(1/3)^x<br> True<br> False
Lemur [1.5K]

Answer:

False

Step-by-step explanation:

Since the b value (the value inside the parentheses) is less than 1, it represents exponential decay.

8 0
3 years ago
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