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3 years ago

(a) what is Linear equation (b) Why Laplace's equation is linear

Engineering

1 answer:

Triss [41]3 years ago

7 0

Answer:

A) Linear Equation -

Linear equation has only one independent variable and when the linear equation plotted on a graph it forms a straight line. It is made up of two expressions equal to each other in a equation. Linear equation graph fits the Y= mx+a ( m=slope).

B) Laplace's equation is linear as it is a second order partial differential equation. So if we put dependent variable in differential equation it always show result in linear.

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Consider a cubic crystal with the lattice constant a. Complete the parts (a)-(c) below. (a) Sketch the crystallographic planes w

Anna [14]

Answer:

(a) See attachment

(b) The two planes are parallel because the intercepts for plane [220] are X = 0,5 and Y = 0,5 and for plane [110] are X = 1 and Y = 1. When the planes are drawn, they keep the same slope in a 2D plane.

Explanation:

(a) To determine the intercepts for an specific set of Miller indices, the reciprocal intercepts are taken as follows:

For [110]

$X = \frac{1}{1} = 1; Y = \frac{1}{1} = 1; Z = \frac{1}{0} = \inf.$

For [220]

$X = \frac{1}{2} = 0,5;Y = \frac{1}{2} = 0,5;Z = \frac{1}{0} = \inf.$

The drawn of the planes is shown in the attachments.

(b) Considering the planes as two sets of 2D straight lines with no intersection to Z axis, then the slope for these two sets are:

For (1,1):

$K_1 = \frac{1}{1} = 1$

For (0.5, 0.5):

$K_2 = \frac{0.5}{0.5} = 1$

As shown above, the slopes are exactly equal, then, the two straight lines are considered parallel and for instance, the two planes are parallel also.

The Miller indices are already given in the statement. Then, the distance is:

$\frac{1}{d^{2}} = \frac{h^{2} + k^{2} + l^{2}}{a^{2}}$

$d = \frac{a}{\sqrt{h^{2} + k^{2} + l^{2}}} = \frac{1}{\sqrt{2}} = 0,707$

7 0

3 years ago

At a festival, spherical balloons with a radius of 140.cm are to be inflated with hot air and released. The air at the festival

Tpy6a [65]

Answer:

find attached

Explanation:

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4 years ago

Which of the following is true about silicosis?

user100 [1]

Answer:

D. The damage it causes is irreversible

Explanation:

Silicosis is a long term lung disease caused by crystalline silica dust inhalation. There is no cure, and once the damage is done it cannot be reversed.

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Like stated above, the damage is irreversible. Option A is incorrect.

Construction workers are constantly moving to build whatever they're working on. The disease will make it hard to breathe and will have a heavy effect on their lungs, preventing them from properly doing their jobs. Additionally, it's possible to get the disease from this job since you're constantly inhaling dust particles.

Silicosis does major damage to the lungs. The dust particles are attacked by the immune system which causes inflammation and eventually leads to areas of hardened and scarred lung tissue.

Thus, the best option is D.

hope this helps :)

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2 years ago

Technician A says that a lack of lubrication on the back of the disc brake pads can cause brake noise. Technician B says that pa

sweet-ann [11.9K]

Answer:

Technician A and B both are correct.

Explanation:

According to Technician A, we can stop noise by applying lubricant (Break friction).

According to Technician A, we can stop noise by set-up right position for break pad.

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3 years ago

A 0.3 m3 rigid tank initially contains refrigerant-134a at 14°C. At this state, 55% of the mass is in the vapor phase, and the r

Oksanka [162]

Answer:

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Explanation:

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3 years ago