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Mumz [18]
3 years ago
6

The area of the top face of a cube is 9 square meters. what is the volume of the cube

Mathematics
2 answers:
Luba_88 [7]3 years ago
7 0

for a cube v=a^3, so 9^3= 729

Ahat [919]3 years ago
3 0
Well since its a cube, it's equal on all sides, so all sides are 9 sq m.
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Find the Jacobian ∂(x, y, z) ∂(u, v, w) for the indicated change of variables. If x = f(u, v, w), y = g(u, v, w), and z = h(u, v
jeyben [28]

Answer:

The Jacobian ∂(x, y, z) ∂(u, v, w) for the indicated change of variables

= -3072uv

Step-by-step explanation:

<u>Step :-(i)</u>

Given  x = 1 6 (u + v)  …(i)

  Differentiating equation (i) partially with respective to 'u'

               \frac{∂x}{∂u} = 16(1)+16(0)=16

  Differentiating equation (i) partially with respective to 'v'

              \frac{∂x}{∂v} = 16(0)+16(1)=16

  Differentiating equation (i)  partially with respective to 'w'

               \frac{∂x}{∂w} = 0

Given  y = 1 6 (u − v) …(ii)

  Differentiating equation (ii) partially with respective to 'u'

               \frac{∂y}{∂u} = 16(1) - 16(0)=16

 Differentiating equation (ii) partially with respective to 'v'

               \frac{∂y}{∂v} = 16(0) - 16(1)= - 16

Differentiating equation (ii)  partially with respective to 'w'

               \frac{∂y}{∂w} = 0

Given   z = 6uvw   ..(iii)

Differentiating equation (iii) partially with respective to 'u'

               \frac{∂z}{∂u} = 6vw

Differentiating equation (iii) partially with respective to 'v'

               \frac{∂z}{∂v} =6 u (1)w=6uw

Differentiating equation (iii) partially with respective to 'w'

               \frac{∂z}{∂w} =6 uv(1)=6uv

<u>Step :-(ii)</u>

The Jacobian ∂(x, y, z)/ ∂(u, v, w) =

                                                         \left|\begin{array}{ccc}16&16&0\\16&-16&0\\6vw&6uw&6uv\end{array}\right|

   Determinant       16(-16×6uv-0)-16(16×6uv)+0(0) = - 1536uv-1536uv

                                                                                 = -3072uv

<u>Final answer</u>:-

The Jacobian ∂(x, y, z)/ ∂(u, v, w) = -3072uv

 

               

     

6 0
3 years ago
Ms.Phillips ordered 56 pizzas for a school fundraiser. Of the pizzas ordered, 2/7 of them were pepperoni, 19 were cheese, and th
larisa [96]
\frac{2}{7} • 56 = 16

so 16 pizzas are pepperoni 

19 pizzas are cheese

And the rest is Veggie

So now add 16 and 19 which is 35

Now subtract that from 50 which is 15

So 15 pizzas were Veggie pizzas
5 0
3 years ago
Read 2 more answers
(giving brainiest)
Nat2105 [25]

Answer:

B- 24 pints

Step-by-step explanation:

128 x 3= 384 ounces

1 ounce = 0.0625

0.0625 x 384= 24 pints

Hope this helps ^-^

4 0
3 years ago
Find the length of the missing sides, round your answers to the nearest hundredth.
azamat
90 round to the nearest hundredth
5 0
3 years ago
12-packs of skwunch apple juice cost $3.00 after a 40% discount.Which equation would allow you to find the original price of the
igomit [66]
The answer is 8
Hope this help and plz give me points thank u :)
7 0
3 years ago
Read 2 more answers
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