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Elena L [17]
3 years ago
10

In a school, 2/3 of the students study a language.

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
6 0

Answer:

6:15

Step-by-step explanation:

2/3= 10/15

2/5= 6/15 study french

6:15

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Find the local maximum and minimum values and saddle point(s) of the function.
iogann1982 [59]
f(x,y)=9e^y(y^2-x^2)
\nabla f=\left\langle-18xe^y,9ye^y(2+y)\right\rangle

Critical points occur where the gradient is zero. This is guaranteed whenever x=0 and either y=0 or y=-2.

The Hessian matrix for this function looks like

H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}-18e^y&-18xe^y\\-18xe^y&9e^y(2-x^2+4y+y^2)\end{bmatrix}

and has determinant

|H(x,y)|=-162e^{2y}(2+x^2+4y+y^2)

Maxima occur whenever the determinant is positive and f_{xx}. Minima occur whenever both the determinant and f_{xx} are positive. Saddle points occur whenever the determinant is negative.

At (0,0), you have a saddle point since the determinant reduces to -324, so (0,0,0) is the saddle point.

At (0,-2), the determinant is \dfrac{324}{e^4}>0 and f_{xx}(0,-2)=-\dfrac{18}{e^2}, so \left(0,-2,\dfrac{36}{e^2}\right) is a local maximum.

No other critical points remain, so you're done.
4 0
3 years ago
Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
Art [367]

Answer by JKismyhusbandbae:

Fabric Cover

Median: 15.8  

Upper Quartile: 18.0

Lower Quartile:15.2

Range: 4.7

6 0
3 years ago
Read 2 more answers
How do I solve this problem step by step?
Rom4ik [11]

Answer:

V = 3

Step-by-step explanation:

<u><em>Given:</em></u>

<em>Perimeter of the pentagon is 52 units.</em>

<em>Solve for value of v.</em>

<u>Solve:</u>

<em>Let first put it into a equation base on the given;</em>

<em>6v + 8 + 8 + 3v + 1 + v + 5 = 52</em>

<em>Add the numbers</em>

<em>6v + 22 + 3v + v = 52</em>

<em>Combine like terms</em>

<em>10v + 22 = 52</em>

<em>Subtract 22 from both sides</em>

<em>10v + 22 - 22 = 52 - 22</em>

<em>Simplify</em>

<em>10v = 30</em>

<em>Divide both sides by 10</em>

<em>10v/10 = 30/10</em>

<em>Simplify</em>

<em>v = 3 </em>

<em>Check Answer:</em>

<em>6(3) + 8 + 8 + 3(3) + 1 + (3) + 5 </em>

<em>18 + 8 + 8 + 3(3) + 1 + (3) + 5 </em>

<em>18 + 16 + 9 + 1 + 8</em>

<em>18 + 16 + 9 + 9</em>

<em>18 + 16 + 18</em>

<em>36 + 16</em>

<em>52</em>

<em>Hence, v = 3</em>

For more information:

brainly.com/question/18640399

<u><em>Kavinsky</em></u>

6 0
1 year ago
Read 2 more answers
The Zoo charges $14 per visit for non-members. To become a member of the Zoo you will be charged a $36 one-time fee $2 per visit
AleksandrR [38]

Answer:

7

Step-by-step explanation:

You divide the number of visits and the price. 14÷2=7

7 0
3 years ago
Someone answer for angle 1 pls
TEA [102]

Answer:

120 degrees

Step-by-step explanation:

5 times 25 equals 125.

subtract 5

=120

4 0
3 years ago
Read 2 more answers
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