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3 years ago

8

Match the given equation with the verbal description of the surface: A. Circular Cylinder B. Plane C. Cone D. Half plane E. Sphe

re F. Elliptic or Circular Paraboloid

1 answer:

sdas [7]3 years ago

8 0

Answer:

A. Circular Cylinder

r=4

$\sqrt{x^{2}+y^{2} }$ =4 independent from z

B. Plane

ρ cos φ ( )=4

spherical coordinates

z=4

C. Cone

φ = π/3

φ spherical coordinates

D. Half Plane

θ = π/3

Cylindrical Coordinates, do not have portion in 3rd quadrant that why its only half a plane.

E. Sphere:

ρ =2cos φ ( )

Spherical Coordinates

ρ =2×z/ρ

$p^{2}$ =2z

$x^{2} +y^{2} +z^{2}$ = $p^{2}$

$x^{2} +y^{2}+z-1^{2}$ =1

F. Elliptic or Circular Parabola

z= $r^{2}$

z= $r^{2}$ = $x^{2} +y^{2}$

z= $y^{2}$

note: pics are attached

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Question 1: Bicycle pump

belka [17]

Answer: The pressure of the air when compressed is $5.0\times 10^5Pa$

Explanation:

Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

$P\propto \frac{1}{V}$ (At constant temperature and number of moles)

$P_1V_1=P_2V_2$

where,

$P_1$ = initial pressure of gas = $1.0\times 10^5Pa$

$P_2$ = final pressure of gas =?

$V_1$ = initial volume of gas = V

$V_2$ = final volume of gas = $\frac{V}{5}$

$1.0\times 10^5\times V=P_2\times \frac{V}{5}$

$P_2=5.0\times 10^5Pa$

Therefore, the pressure of the air when compressed is $5.0\times 10^5Pa$

4 0

3 years ago

A Rac variant, in which the residue at position 61 was replaced with an alanine (Rac61A), was synthesized. Wild-type Rac and Rac

ludmilkaskok [199]

Answer:

Ammonia, $(NH_{3})$

Explanation:

If a Rac variant, in which the residue at position 61 was replaced with an alanine (Rac-61A), was synthesized. Also, Wild-type Rac and Rac-61A were incubated separately with VopC.

In order to obtain data to support that VopC modifies Rac at residue 61, the samples should be analyzed for the presence of Ammonia ( $NH_{3}[\tex]) compound.In chemistry, the Vanadyl Phthalocyanine (VopC) comprises of a catalytic domain that activates host cells GTPase Rac irreversibly, through the deamide side chain of the residue existing at position 61.Also, we know that a deamidation reaction gives off Ammonia, [tex](NH_{3})$ and as such when ammonia is present in the sample containing Wild-type Rac but not in Rac-61A, this simply proves or provide the data to support that VopC modifies Rac at residue 61.

<em>Additionally, deamidation can be defined as the chemical conversion (hydrolysis) of an amide functional group such as glutamine, asparagine, in a polypeptide to another functional group such as glutamic acid or isoaspartic acid respectively by treating it with a strong acid (deamidate, transamidase). </em>

3 0

3 years ago

A simple accelerometer is constructed inside a car by suspending an object of mass m from a string of length L that is tied to t

Fittoniya [83]

Answer:

Part a)

$\theta = tan^{-1}\frac{a}{g}$

so here the angle made by the string is independent of the mass

Part b)

$a = 4.16 m/s^2$

Explanation:

Part a)

Let the string makes some angle with the vertical so we have force equation given as

$Tcos\theta = mg$

$T sin\theta = ma$

so we will have

$tan\theta = \frac{ma}{mg}$

$\theta = tan^{-1}\frac{a}{g}$

so here the angle made by the string is independent of the mass

Part b)

Now from above equation if we know that angle made by the string is

$\theta = 23 degree$

so we will have

$tan23 = \frac{a}{g}$

$a = g tan23$

$a = 9.81(tan23)$

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6 0

3 years ago

Read 2 more answers

What is the disadvantage of the solar energy?

vampirchik [111]

Answer:

In fact, there's only one notable disadvantage to solar power that I can think of. That disadvantage is that the sun doesn't shine 24 hours a day. When the sun goes down or is heavily shaded, solar PV panels stop producing electricity. If we need electricity at that time, we have to get it from some other source.

Explanation:

hope it helps mate

6 0

3 years ago

A graduated cylinder contains 20.0ml of water. After a rock is placed in the cylinder, the level rises as shown below. what is t

Anestetic [448]

The volume of the rock, given the data is 14 mL (Option A)

<h3>Data obtained from the question</h3>

From the question given above, the following data were obtained:

Volume of water = 20 mL
Volume of water + rock = 34 mL
Volume of rock =?

<h3>How to determine the volume of the rock</h3>

The volume of the rock can be obtained by calculating the displacement of the water when the rock was added. this can be obtained as follow:

Displacement of water = (Volume of water + rock) - (volume of water)

Displacement of water = 34 - 20

Displacement of water = 14 mL

Thus, the volume of the rock is 14 mL

Learn more about volume of irregular object:

brainly.com/question/27911332

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Complete question:

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1 year ago