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3 years ago

What is the difference? (8.62 × 10–2) – (1.94 × 10–2) 4.44 × 10–2 6.68 × 10–2 7.32 × 10–4 10.56 × 104

Mathematics

1 answer:

Nastasia [14]3 years ago

6 0

Answer:

63.20

Step-by-step explanation:

8362.00

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Eduardo thinks of a number between 1 and 20 that has exactly 5 factors. What number is he thinking of?

fredd [130]

16, with the factors– 1, 2, 4, 8, and 16 itself

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4 years ago

Evaluate : f(x) = x^2 - 2x + 1 , x = 3

den301095 [7]

Answer:

Step-by-step explanation:

3^2=9

-2 times 3 = -6

9-6+1=4

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3 years ago

What is the surface area of the rectangular prism?

azamat

Answer:

its 288 if u search formula for surface area of a rectangular prism

Step-by-step explanation:

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3 years ago

Show that if the vector field F = Pi + Qj + Rk is conservative and P, Q, R have continuous first-order partial derivatives, then

olchik [2.2K]

Answer:

It is proved that $\frac{\partial P}{\partial y}=\frac{\partial Q}{\partial x}, \frac{\partial P}{\partial z}=\frac{\partial R}{\partial x}, \frac{\partial Q}{\partial z}=\frac{\partial R}{\partial y}$

Step-by-step explanation:

Given vector field,

$F=P\uvec{i}+Q\uvec{j}+R\uvec{k}$

Where,

$P=f_x=\frac{\partial f}{\partial x}, Q=f_y=\frac{\partial f}{\partial y}, R=f_z=\frac{\partial f}{\partial z}$

To show,

$\frac{\partial P}{\partial y}=\frac{\partial Q}{\partial x}, \frac{\partial P}{\partial z}=\frac{\partial R}{\partial x}, \frac{\partial Q}{\partial z}=\frac{\partial R}{\partial y}$

Consider,

$\frac{\partial P}{\partial y}=\frac{\partial}{\partial y}(\frac{\partial f}{\partial x})=\frac{\partial^2 f}{\partial y\partial x}=\frac{\partial^2 f}{\partial x\partial y}=\frac{\partial }{\partial x}(\frac{\partial f}{\partial y})=\frac{\partial Q}{\partial x}$

$\frac{\partial P}{\partial z}=\frac{\partial}{\partial z}(\frac{\partial f}{\partial x})=\frac{\partial^2 f}{\partial z\partial x}=\frac{\partial^2 f}{\partial x\partial z}=\frac{\partial }{\partial x}(\frac{\partial f}{\partial z})=\frac{\partial R}{\partial x}$

$\frac{\partial Q}{\partial z}=\frac{\partial}{\partial z}(\frac{\partial f}{\partial y})=\frac{\partial^2 f}{\partial z\partial y}=\frac{\partial^2 f}{\partial y\partial z}=\frac{\partial}{\partial y}(\frac{\partial f}{\partial z})=\frac{\partial R}{\partial y}$

Hence proved.

4 0

3 years ago

Daniel is reading a 200-page book. He

Minchanka [31]

Set up a ratio to find the number of pages read in 80 minutes:

40 pages/ 50 minutes = x pages/ 80 minutes

Cross multiply:

50x = 3200

Divide both sides by 50:

X = 3200/50

X = 64

He will read 64 pages in 80 minutes.

200 -64 = 136

There will be 136 pages left.

6 0

3 years ago