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Anit [1.1K]
3 years ago
9

Choose the correct simplification of the expression 2 b over c all to the power of 3.

Mathematics
1 answer:
solmaris [256]3 years ago
6 0
I think the answer is 8b^3/c^3
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Suppose f(x, y) is a differentiable function of x and y and let g(r, s) = f (2rs, 8s − 2r). Use
worty [1.4K]

By the chain rule,

\dfrac{\partial g}{\partial r} = \dfrac{\partial f}{\partial r} \\\\ ~~~~~ = \dfrac{\partial f}{\partial x} \dfrac{\partial x}{\partial r} + \dfrac{\partial f}{\partial y} \dfrac{\partial y}{\partial r} \\\\ ~~~~~ = 2 s \dfrac{\partial f}{\partial x} - 2 \dfrac{\partial f}{\partial y}

where x(r,s)=2rs and y(r,s)=8s-2r.

If r=2 and s=1, then

x = 2\cdot2\cdot1 = 4

y=8\cdot1-2\cdot2 = 4

so that

g_r(2,1) = 2\cdot1 f_x(4,4) - 2 f_y(4,4) = 2\cdot2-2\cdot3 = \boxed{-2}

5 0
1 year ago
Find the volume of a cube with a side length of 2 in, to the nearest tenth of a cubic
galina1969 [7]

Answer:

8

Step-by-step explanation:

volume of cube = side lenght ^3

= 2^3

= 8cubic inch.

8 0
2 years ago
The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days and a standard deviation of
MakcuM [25]

Answer:

the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days

Step-by-step explanation:

Given that :

Mean  = 265

standard deviation = 14

The formula for calculating the z score is z = \dfrac{x -\mu}{\sigma}

x = μ + σz

At middle of 50% i.e 0.50

The critical value for z_{\alpha/2} = z_{0.50/2}

From standard normal table

z_{0.25}= + 0.67  or -0.67  

So; when z = -0.67

x = μ + σz

x = 265 + 14(-0.67)

x = 265 -9.38

x = 255.62

when z = +0.67

x = μ + σz

x = 265 + 14 (0.67)

x = 265 + 9.38

x = 274.38

the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days

3 0
3 years ago
The equation of a circle whose center is at ( 4,0 ) and radius is length 2 ( square root ) 3
Vesna [10]
The equation of a circle:
(x-h)^2+(y-k)^2=r^2
(h,k) - the coordinates of the center
r - the radius

The center is (4,0), the length of the radius is 2√3.
(x-4)^2+(y-0)^2=(2\sqrt{3})^2 \\
\boxed{(x-4)^2+y^2=12}
8 0
3 years ago
Read 2 more answers
De un numero se sabe que si a su cuadrado le restamos su mitad, se obtiene el mismo numero, Cuál es?
Ad libitum [116K]

Answer:

2

Step-by-step explanation:

el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2

5 0
2 years ago
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