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DanielleElmas [232]
3 years ago
9

Help pls fast ok ty yh

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0

Answer:

the first circle 75

Step-by-step explanation:

hope it helps

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С
Feliz [49]

Answer:

That's what I think the answer is

CB = CA - AB

= -8 - 29

= -37

6 0
3 years ago
Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software,
vichka [17]

Answer:

A(-1,0) is a local maximum point.

B(-1,0)  is a saddle point

C(3,0)  is a saddle point

D(3,2) is a local minimum point.

Step-by-step explanation:

The given function is  

f(x,y)=x^3+y^3-3x^2-3y^2-9x

The first partial derivative with respect to x is  

f_x=3x^2-6x-9

The first partial derivative with respect to y is  

f_y=3y^2-6y

We now set each equation to zero to obtain the system of equations;

3x^2-6x-9=0

3y^2-6y=0

Solving the two equations simultaneously, gives;

x=-1,x=3  and y=0,y=2

The critical points are

A(-1,0), B(-1,2),C(3,0),and D(3,2).

Now, we need to calculate the discriminant,

D=f_{xx}(x,y)f_{yy}(x,y)-(f_{xy}(x,y))^2

But, we would have to calculate the second partial derivatives first.

f_{xx}=6x-6

f_{yy}=6y-6

f_{xy}=0

\Rightarrow D=(6x-6)(6y-6)-0^2

\Rightarrow D=(6x-6)(6y-6)

At A(-1,0),

D=(6(-1)-6)(6(0)-6)=72\:>\:0 and f_{xx}=6(-1)-6=-18\:

Hence A(-1,0) is a local maximum point.

See graph

At B(-1,2);

D=(6(-1)-6)(6(2)-6)=-72\:

Hence, B(-1,0) is neither a local maximum or a local minimum point.

This is a saddle point.

At C(3,0)

D=(6(3)-6)(6(0)-6)=-72\:

Hence, C(3,0) is neither a local minimum or maximum point. It is a saddle point.

At D(3,2),

D=(6(3)-6)(6(2)-6)=72\:>\:0 and f_{xx}=6(3)-6=12\:>\:0

Hence D(3,2) is a local minimum point.

See graph in attachment.

3 0
3 years ago
Choose the correct term to complete the sentence.
galina1969 [7]

Answer:

Step-by-step explanation:

Exponential growth

8 0
2 years ago
What is the name of the line of reflection for the pair of figures? Enter your answer in the box. line
statuscvo [17]

Are you asking for the letter or what the line is called because if it's just the letter then it is r if it is the name then its a plane intersect.

7 0
3 years ago
Read 2 more answers
Are Simple statements are often just called statements
Ksju [112]
Yes they are because if I made a small statement like oh I like your shirt it's still called a statement.
7 0
3 years ago
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