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natulia [17]
3 years ago
15

Guys help me pls help me

Mathematics
1 answer:
Semenov [28]3 years ago
4 0

Answer:

10 units

Step-by-step explanation:

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Selma has 9 baked pies. she will serve them at her book club where there will be herself and 4 others. if they share them equall
777dan777 [17]

Answer:

1.8 pies per person

Step-by-step explanation:

9 pies and 5 people

Divide the total number of pies by the number of people:

9/5 = 1.8 pies per person

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What is the area this trapezoid?
Svetlanka [38]

Step-by-step explanation:

Area = 0.5(19+25)(20) = 440cm².

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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.

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This is an area in which objects will interact with a magnet
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What is the volume of a rectangular sandbox that is 3 feet by 4 feet by 1 foot?
bixtya [17]

Answer:

12 cubic ft.

Step-by-step explanation:

welcome

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