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The acceleration of a cylinder plough and the displacement is b=m√x where m is constant. The velocity is in the direction of the displacement and the velocity and displacement are both zero when time is zero. calculate displacement, velocity and acceleration as a function of time.

At the end of their study program, three students in a software engineering course are typically expected to complete a major project. Explain how the agile methodology may be very useful for the students to use in this case ?


How do sorption reactions affect pollutant fate and transport in a aquatic system? Specifically, will a pollutant be more or less mobile in the sorbed state.


based upon analysis of its organic carbon, hydrogen, oxygen and nitrogen content, the representative empirical formula of C8H17O3N was developed for organic matter in an industrial wastewater, and, from the same analysis, the organic concentration was found to be 18,000 mg/L. For a wastewater flow of 350 m^3/d, what is the daily methane production from the wastewater in m^3 at 35°C and 1 atm and methane percentage in the gas produced if the waste were treated anaerobically? Assume fs is 0.08, the process is 95% efficient at removal of organic matter, and all gases formed evolve to the gas phase.


Draw lines/graph for each item;

5. Find the angle from the line 2x + y – 8 = 0 to the line x + 3y + 4 = 0. Draw the lines and

locate the angle formed.

6. Two sides of a square lie along the lines 2y = 20 – 3x and 3x + 2y = 48. Find the area of

the square.


Draw the line/s for each item:


1. Find the distance from the point (2,3) to the line 3x + 4y + 9 = 0.

2. Find the distance between the given line 4x – 3y = 12 and 4x – 3y + 8 = 0. lines.

3. Find the equation of the line parallel to 5x + 6y – 10 = 0 at a distance 61 from (-3,7).

4. Find the equation of the line parallel to 3x + 4y = 20 and at a distance of 5 units from this

line.

5. Find the angle from the line 2x + y – 8 = 0 to the line x + 3y + 4 = 0. Draw the lines and

locate the angle formed.

6. Two sides of a square lie along the lines 2y = 20 – 3x and 3x + 2y = 48. Find the area of

the square.


An ideal gas at 0.80 atmospheres and 87oC occupies 0.450 liter. How many moles are in the sample? (R =0.0821 liter-atm/mole-K)


Amortization

Suppose you borrowed ₱200,000 from a local bank having an interest of 8% per annum, compounded

monthly. If the debt was to be amortized by 36 equal payments and the first payment is to be made at

the end of the first month, (a) determine the monthly payment, and (b) construct an amortization

schedule/table.


find the expectation of a decrete random x whose probability function is given by f(x) =(

test on electronic lamp manufactured by a company indicated their life span could be assumed to be normally distributed about a mean of 1750 hours with a standard derivation of 70 hours. calculate the probability that an electronic lamp purchased burn out: (1) in more than 2000 hours (2) between 1600 and 1900 hours.


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