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Zolol [24]
3 years ago
13

Use lagrange multipliers to find the shortest distance, d, from the point (4, 0, −5) to the plane x y z = 9.

Mathematics
1 answer:
zlopas [31]3 years ago
4 0
One function you would be trying to minimize is 
<span>f(x, y, z) = d² = (x - 4)² + y² + (z + 5)² </span>

<span>Your values for x, y, z, and λ would be correct, but </span>
<span>d² = (20/3 - 4)² + (8/3)² + (-7/3 + 5)² </span>
<span>d² = (8/3)² + (8/3)² + (8/3)² </span>
<span>d² = 64/3 </span>
<span>d = 8/sqrt(3) = 8sqrt(3)/3</span>
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3y²z(2y²z + 4yz - y + z) = <br> 6y⁴z² + 12y³z² - 3y³z + 3y²z
lord [1]
18y⁸z²=18y⁸z², you have to simplify it and add like terms to get your answer

3 0
3 years ago
Enter the degree of the polynomial below.<br> 6x^6+ 9x^3+ 3x^2 - 4x^10 - 9x^5 – 5x^6
mafiozo [28]

The degree of a polynomial is simply the monomial with a coeficient that has the highest degree.

6x^6 = 6 degree

9x^3 = 3 degree

3x^2 = 2 degree

-4x^10 = 10 degree

-9x^5 = 5 degree

-5x^6 = 6 degree

Because -4x^10 has the highest degree, the degree of this polynomial is 10.

8 0
3 years ago
A migrating bird flies 341 miles in 11 hours. How many miles can the bird fly in 6 hours?
Sedaia [141]
186 because you would divide 341 by 11 and you get 31 then multiply that by 6 and you get 186. Did this help?
8 0
3 years ago
Read 2 more answers
3. What is the radius of a circle whose area is 64π cm squared?
nataly862011 [7]

Answer:

Area = 64π

Area \: = \pi {r}^{2}Area=πr

2

64 \: \pi \: = \pi {r}^{2}64π=πr

2

{r}^{2} = \dfrac{64\pi}{\pi}r

2

=

π

64π

{r}^{2} = 64r

2

=64

r \: = \: \sqrt{64} = 8r=

64

=8

Radius = 8 units

Finding the Diameter -

Diameter = Radius x 2 = 8 x 2 = 16 .

\bold{Diameter \: is \: 16 \: units}Diameteris16units

8 0
3 years ago
Which graph shows the solution set of the compound inequality or 1.5x-1 &gt; 6.5 or 7x+3 &lt; -25 ?
Dmitry [639]
1.
<span>1.5x-1 > 6.5 
1.5x>1+6.5
</span>1.5x>7.5, divide by 1.5

x>5, is represented by the region to the right of the vertical line x=5 

2. 

<span>7x+3 < -25
7x<-25-3
7x<-28, divide by 4:

x<-4

</span>x<-4, is represented by the region to the left of the vertical line x=-4

Answer: check the picture

6 0
2 years ago
Read 2 more answers
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