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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.

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.


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.


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.


An object is projected upwards with a velocity of 33m/s from a point on the ground. What is the maximum height it reaches? What is the velocity at 50m above the ground? What is the time taken to reach 50m above ground? What is the total time of flight?


A woman sitting in a stationary car notices a man cycling past her at 40 km/hr. Five

seconds after he passes her car, she starts following after him. What is the shortest

possible distance in which she will catch up to the cyclist if he maintains speed and

she obeys the speed limit of 70 km/hr? The car has a maximum acceleration of 3.5m.s2.


A 14 m long truck is driven alongside a 500 m long train with the same velocity of

25 m/s. The front of the truck is 7 m behind the rear of the train. At a certain instant, the

truck stars accelerating at 0,08 m/s2, while the train starts decelerating at 0,4 m/s2. How

long will it take before the rear of the truck passes the front of the train and what distance

would the truck have covered in this time?


A car of length 5 m is being driven parallel alongside a 100 m long train at the same

speed. The front of the car is 10 m behind the rear of the train. At the instant the train

decelerates at 0.4 ms2 the car accelerates at 0,15 ms2. How long will it take for the rear

of the car to pass the front of the train?


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