Carbon monoxide​ (CO) emissions for a certain kind of car vary with mean 2.842 ​g/mi and standard deviation 0.7 g/mi. A company has 80 of these cars in its fleet. Let y (overbar) represent the mean CO level for the​ company's fleet.

​a) What's the approximate model for the distribution of y (overbar)​? Explain.

​b) Estimate the probability that y (overbar) is between 2.9 and 3 g/mi.

​c) There is only a 5% chance that the​ fleet's mean CO level is greater than what​ value?

Carbon monoxide​ (CO) emissions for a certain kind of car vary with mean 3.704 ​g/mi and standard deviation 0.7 ​g/mi. A company has 70 of these cars in its fleet. Let y overbary represent the mean CO level for the​ company's fleet. ​a) What's the approximate model for the distribution of y overbary​? Explain. ​b) Estimate the probability that y overbary is between 3.8 and 3.9​g/mi. ​c) There is only a 11​% chance that the​ fleet's mean CO level is greater than what​ value?

1. A diode at room temperature with n=2 is conducting 5mA. How much will it conduct if the voltage is increased by 0.06V?

2. A zener diode has a test current and voltage, Iz(Vz=10V)=20mA, and a resistance, rz = 20 ohms. Plot the current-voltage relationship and find the value for Vz0.

3. Find the power dissipated in a diode that is conducting 2 mA if the diode is:

a. An ideal diode

b. A 0.7 CVD model

c. A junction diode at room temperature with Is = 5*10^(-15) A and n =1

Q2) Having the text (A AA BACBCCBBAAADBBBC D), answer the following: 1. The probability of character A( P(A)) equals------- a) 1 b)0.1 c) 0.7 d) 0.35 The self-information of character C( I(C) Jequals------ 2. a) 2.321 bit b) 4.256 bit c) 1.336 bit d) 6.874 bit 3. If the average time t is 5 usec, then the information rate R(x) is-- a) 10.856 Mbps b) 9.486 Mbps c) 7561 kbps d) non of the mentioned

A tank of water is emptied by the force of gravity through a syphon. The difference in water levels between the two tanks is 3 m and the highest point of the syphon is 2 m above the top surface level and the length of the pipe from inlet to the highest point is 2.5 m. The pipe is designed with a bore of 25 mm and the length 6 m. The pipe frictional coefficient is 0.007 and the inlet loss coefficient K is 0.7. Calculate the following:
4.1 the volume flow rate and,
4.2 the pressure at the highest point in the pipe

Investigate the adequacy of the square footing. The column has dimension of 500 mm x 500 mm and carries an axial load of 1210 KN dead load and 650 KN live load. Allowable soil pressure is 240 Kpa. There is 0.7 m height of soil having a unit weight of 15.74 KN/m3, fc’ = 20.7 Mpa, fy = 276.5 Mpa. The footing section is 2.8 m x 2.8 m with a 600 mm thickness. Use 25 mm diameter main bars.

Show your solution:

A theoretical colloidal system has its viscosity dependent on temperature like how the rate constant can be dependent with temperature. The following data were obtained for the viscosity of this colloid as a function of temperature.

T (Celsius): -45, -25, -10, 0, 20, 30

Viscosity (Pa-s): 7010, 263, 35, 12, 1.5, 0.7

Calculate the viscosity of this colloidal system (Pa-s) at 298 K.

choices are;

a) 0.90

b) 0.94

c) 0.96

d) 0.98

e) 1.00

A four-pole dc machine has a simplex-wave winding of 250 turns. The flux per pole is 0.7 T. The armature radius is 15 cm and effective conductor length is 20 cm. The pole covers 80 % of the armature periphery. The machine rotates at 1000 rpm.
1. Determine the machine constant (see sec. 4.2.4 of the text book).

2. Determine the generated voltage.

3. Determine the kW rating if the rated current through a single-turn is 120 A.

4. The machine developed torque

A firm has an investment project that will cost the firm $30 million but will generate $2 million of NPV. Also there is a 5% chance that the firm will lose a lawsuit to employees, and be forced to pay damage of $30 million. Suppose that a liability insurance policy with a $30 million limit has a premium equal to $1.5 million.

Compute expected claim cost

Compute the amount of loading on the policy

Compute the expected cost of not pursuing this project

Should the firm purchase this insurance or not? Why or why not?

There is a portfolio whose current value is $2 million. Its daily return is normally distributed with a mean of 2% and a standard deviation of 0.7.

Compute the daily 99% and 95% VaRs of a portfolio

Interpret the results

A firm has an investment project that will cost the firm $30 million but will generate $2 million of NPV. Also there is a 5% chance that the firm will lose a lawsuit to employees, and be forced to pay damage of $30 million. Suppose that a liability insurance policy with a $30 million limit has a premium equal to $1.5 million.

Compute expected claim cost

Compute the amount of loading on the policy

Compute the expected cost of not pursuing this project

Should the firm purchase this insurance or not? Why or why not?

There is a portfolio whose current value is $2 million. Its daily return is normally distributed with a mean of 2% and a standard deviation of 0.7.

Compute the daily 99% and 95% VaRs of a portfolio

Interpret the results

1.) Use the product rule to find the derivative of

(−10x⁶−7x⁹)(3e^x+3)

2.) If f(t)=(t²+5t+8)(3t²+2) find f'(t)
   
Find f'(4)

3.) Find the derivative of the function
g(x)=(4x²+x−5)e^x

g'(x)=

4.) If f(x)=(5−x²) / (8+x²) find:

f'(x)=

5.) If f(x)=(6x²+3x+4) / (√x) , .  then:

f'(x) =    

f'(1) =

6.) Find the derivative of the function g(x)=(e^x) / (3+4x)

g'(x)=

7.)

Differentiate: y=(ln(x)) /( x⁶)

(dy) / (dx) =

8.) Given that
f(x)=x⁷h(x)
h(−1)=2
h'(−1)=5

Calculate f'(−1)

9.) The dose-response for a specific drug is f(x)=(100x²) / (x²+0.14) where f(x) is the percent of relief obtained from a dose of x grams of a drug, where 0≤x≤1.5

Find f'(0.7)

f'(0.7) =

and select the appropriate units.

a)Grams per percent relief

b)Percent relief per gram

c)Percent relief

d)Grams

10.)Let f(x)= (x) / (x+6) . Find the values of x where f'(x)=5

Give exact answers (not decimal approximations).


The greater solution is x=   
The lesser solution is x=