An earth station transmits at 5.62 GHz from an antenna of 6 m. The transmitter generates an output of 8 kW. The satellite is 39920 km from the earth station. The efficiency of the transmitting antenna being 0.7. Calculate a. Path loss ; b. Transmitting antenna gain;. c. EIRP;. d. Received power at satellite;. e. Improvement in a received power if the satellite uses parabolic dish of 2.5 m. (3 Mark) f. Considering your calculated results in other parts of this question, suggest, as a designer, how you could reduce the transmitter power while maintaining the same level of received power.

(i) A 5-year bond with face value $1,000 (paid at maturity) and coupon rate 5% (coupon paid in arrears annually) has yield-to-maturity 4.5%. What is the convexity of the bond?

(ii)Assume that stock returns follow a 2-factor structure. The risk-free return is 3%. Portfolio A has average return 8% and factor-betas 0.7 and 0.9 (for factor 1 and 2, respectively). Portfolio B has average return 10% and factorbetas 1.2 and 1.1 (for factor 1 and 2, respectively). What is the average return for portfolio C that has factor-betas 1 and 1 (for factor 1 and 2, respectively)?

A mass m₁ = 4.4 kg rests on a frictionless table and connected by a massless string over a massless pulley to another mass m₂ = 3.8 kg which hangs freely from the string. When released, the hanging mass falls a distance d = 0.7 m.

1)How much work is done by gravity on the two block system?

2)How much work is done by the normal force on m₁?

3)What is the final speed of the two blocks?

4)How much work is done by tension on m₁?

5)What is the tension in the string as the block falls?

7)What is the NET work done on m₂?

Consumer Banker Association released a report showing the lengths of automobile leases for new automobiles. The results are as follows.

(a) Use the midpoint of each class, and call the midpoint of the last class 66.5 months, for purposes of computing the expected lease term. Also find the standard deviation of the distribution. (Round your answers to two decimal places.)

(b) Sketch a graph of the probability distribution for the duration of new auto leases.

In an ideal Rankine cycle with reheat, superheated steam vapor enters the turbine at 10 MPa and
480 °C, while the condenser pressure is 6 kPa. Steam expands through the first-stage turbine to
0.7 MPa and then is reheated to 480 °C
a) Calculate the total heat addition, net work of the cycle, heat extraction through condenser,
and thermal efficiency of this ideal Rankine cycle with reheat. [25]
b) Calculate the same quantities assuming that the pump and each turbine stage have an
isentropic efficiency of 80%. [25]
c) Draw p-v diagrams for these two cycles  

do only part c)

Yoonie is a personnel manager in a large corporation. Each month she must review 36 of the employees. From past experience, she has found that one review takes her about 2.6 hours each to do on average, with a population standard deviation of 0.7 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let be the random variable representing the mean time to complete the 36 reviews. Assume that the 36 reviews represent a random set of reviews. Find the probability that the mean of a month's reviews will be between 2.3 and 2.9 hours.

1-Find the volume of the solid formed by rotating the region enclosed by
y=e^1x+2, y=0, x=0, x=0.7
about the y-axis.

2-Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph of x=y^9/2 andx=0,0≤y≤1 about the x-axis.
Volume = ∫10f(y)dy∫01f(y)dy where, find the f(y) and the voume.

3- x=y^5/2 andx=0,0≤y≤1 about the line y = 2 to find the volume and the f(y) by the cylindrical shells

Consumer Banker Association released a report showing the lengths of automobile leases for new automobiles. The results are as follows.

(a) Use the midpoint of each class, and call the midpoint of the last class 66.5 months, for purposes of computing the expected lease term. Also find the standard deviation of the distribution. (Round your answers to two decimal places.)

(b) Sketch a graph of the probability distribution for the duration of new auto leases.

Each of the two wheels of a motor bike have a mass of mw = 10 kg, radius of rw = 330 mm, and radius of gyration kw = 0.25 m. A motor bike and rider with a total mass of m = 206 kg travels round a bend of radius R = 80 m at a speed of 135 km/h. The engine rotates in the same sense as the wheels and at four times their speed. The engine rotating parts have mass of me = 12 kg and radius of gyration ke = 0.08 m. The combined center of gravity of the cycle and the rider is 0.7 m. Determine  
1.1 the angle of banking of the track for a smooth ride without slip

instructions- You have to use Python in order to do this Problem Set.

4 Cobb-Douglas Production Function Suppose a firm uses the following production function Y = z × K0.3 × N 0.7 d , where Y is output, z is TFP, K is capital, and Nd is labor. 1. Set z = 10, K = 5 and plot the production function over the range Nd ∈ [0, 5] 2. Derive this function w.r.t. Nd.Set z = 10, K = 5, and plot the marginal product of labor (MPN) over the range Nd ∈ [0, 5] 3. What does the MPN measure. Explain in words.