Two question here please answer it correctly
40. Evaluate f (x2-2xy)dx +(x2y+3)dy around the boundary of the region defined by y2 = 8x and x = 2
(a) directly, (b) by using Green's theorem. Ans. 128/5
(TT.2)
41. Evaluate f (6xy - y2) dx + (3x2 --- 2xy) dy along the cycloid x = 6 - sin 6, y = 1 - cos 6.

(40) It looks like the line integral is

[tex]\displaystyle \int_C (x^2-2xy)\,\mathrm dx + (x^2y+3)\,\mathrm dy[/tex]

where C is the boundary of the region D,

[tex]D = \left\{(x,y) \mid \dfrac{y^2}8\le x\le2\text{ and }-4\le y\le4\right\}[/tex]

(a) To evaluate the line integral directly, split up C into two paths C₁ and C₂, parameterized by

• C₁ : x = t ²/8 and y = -t, where -4 ≤ t ≤ 4

(the y component is negative to make this path have a positive/counterclockwise orientation)

• C₂ : x = 2 and y = t, where -4 ≤ t ≤ 4

Then the line integral over C is the sum of the line integrals over C₁ and C₂ :

[tex]\displaystyle \int_C = \int_C \left(\left(x(t)^2-2x(t)y(t)\right)\dfrac{\mathrm dx}{\mathrm dt} + \left(x(t)^2y(t)-3\right)\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt \\\\ = \int_{-4}^4 \left(\left(\frac{t^3}4+\frac{t^4}{64}\right)\frac t4 - \left(3-\frac{t^5}{64}\right)\right)\,\mathrm dt + \int_{-4}^4 (4t+3)\,\mathrm dt \\\\ = \int_{-4}^4 \left(4t+\dfrac{t^4}{16}+\dfrac{5t^5}{256}\right)\,\mathrm dt = \boxed{\frac{128}5}[/tex]

(b) Using Green's theorem, we have

[tex]\displaystyle \int_C (x^2-2xy)\,\mathrm dx + (x^2+3)\,\mathrm dy = \iint_D \frac{\partial(x^2y+3)}{\partial x} - \frac{\partial(x^2-2xy)}{\partial y}\,\mathrm dx\,\mathrm dy \\\\ = \int_{-4}^4 \int_{y^2/8}^2 (2xy+2x)\,\mathrm dx\,\mathrm dy = \boxed{\frac{128}5}[/tex]

# # #

(41) I assume you meant to use θ in the parameterization, and not 6, so that C is parameterized by x = θ - sin(θ) and y = 1 - cos(θ). There's no range given for θ, so I'll just assume 0 ≤ θ ≤ π.

Then ... (for some reason, the math text won't render properly. I've attached the computation as an image)

(where s = sin(θ) and c = cos(θ))

Need help coding this i’m using python.

What are the factors that influence the power input to the compressor?

a) The mass flow of air

b) The pressure ratio of the compressor

c) The inlet temperature

d) Temperature difference between the inlet and outlet

e) The properties of the working medium

Work the previous problem for the line integral f (x2+y2)dx + 3xy2 dy.

 Observe how the components of the brake system is connected together using Motor Tricycle
 Open the Rear Axle provided to you and observe how drum brake system operate
 Using the Caravan Van, Observe how does the Disk Brake System works
 Prepare a diagram how does the brake system work
 Observe How does the “Brake Booster” works
 Observe how does the ABS system interfere with the Braking using the ABS training Module

20 pts!
Calculate or write the formula please

A) the value of “dd”
B) the angle theta1
C) angle of transmission (μ)

How does Brake system work

Express the following numbers in decimal:
(a) (11001.1011)
2

(b) (A3.C)
16

(c) (75.16)
8

(d) (ABCD)
16

Many vehicles use halogen light bulbs. What must you avoid when handling halogen bulbs?

Which of the following defines context?


the ability to find new ways of thinking about a problem

the condition in which a problem exists

the study of the theoretical nature of an event

the problem-solving technique of an engineer

On a typical 120 volt circuit in your home, you may have a 15 ampere fuse or circuit breaker. What is the maximum power (watts) that this circuit can handle? How many 10 Watt light bulbs could you turn on without blowing the fuse?

in the metric system what is the prefix for 1000

Which statement most thoroughly describes the profession of an engineer?


Engineers work in teams to design and implement various products using specific processes.

Engineers should never complete a project without collaborating with experts in other fields.

Engineers strive to complete a project in the most cost-conscious and timely manner possible.

Engineers are being increasingly constrained by governmental regulations, limiting their creativity and effectiveness.

Q2

a) Prove that the rotor copper loss of 3-phase induction motor is.

Pr = sP2

where Pr = rotor copper loss

S = slip

P2 = rotor input power

Pm = mechanical power developed by the roto

1. __________ is an example of an electrical device.

Rt = R1 + R2 + R3

[tex] \frac{1}{rt} = \frac{1}{r1} + \frac{1}{r2} + \frac{1}{r3} [/tex]

If R1 = 4Ω , R2 = 6Ω and R3 = 8Ω (Ω= ohm)


Calculate: 4.1.1 Rt (series)
4.1.2 Rt (parallel)





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What is the measurement

Calculate the engineering stress in SI units on a bar 25 cm long and having a cross section of 9.00 mm × 4.00 mm that is subjected to a load of 3500 kg.

Do you think that the country that has the right to force vaccinations on the community?

a television set having apower rating of 120w and electric lawnmower of power rating 1kw are both connected to a 250v supply if 3A 5A and 10A fuses are available state which is the most appropriate for each appliance​