Other Math Answers

Determine the intensity of shear of an oil having viscosity = 1.2 poise and is used for lubrication in the clearance between a 10 cm diameter shaft and its journal bearing. The clearance is 1.0 mm and shaft rotates at 200 r.p.m.

Find the kinematic viscosity of an oil having density 980 kg/m^2 when at a certain point in the oil, the shear stress is 0.25 N/m^2 and velocity gradient is 0.3/s .

Let a1, a2, a3, a4, a5 be an arithmetic progression with common difference d such that cosd = √0,6. Find cos^2(a3) given that tga1tga2 + tga2tga3 + tga3tga4 + tga4tg5 = 11.

Let 21 - 16sin^2(x) + 8cosx / 16cos^2(x) - 29 - 8√15sinx = 2. Find the largest value of 7cosx.

Answer by true or false and correct the false ones
1)The trajectory of a moving particle doesn't depend on the chosen frame of referance.
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2)All the points of a solid in a translational motion have identical trajectories.
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3)The motion of a solid is said to be rotational when the trajectory of one of its points is a straight line.
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4)During a translational motion all the points of a solid rotate around fixed axis.
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5)A moving body performs a translational motion is any segment of this body keeps the same direction while moving.
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Give one example each, with justification, to support the following statements. i) Children in early primary school have a problem with handling formal arithmetic. ii) Repetition is not the same as rote learning. iii) Objects of different shapes may have the same volume?

There may be a temptation to continue to raise the ticket sales to increase the amount of money raised. Certainly, you often hear of a guest speaker at a fundraising dinner where people are charged $100 a plate. What do you think is a realistic price for tickets? What are the consequences of raising the price to $50 a plate or $100 a plate.

Jack went to the cash point. He drew out the same amount of money as he had in his pocket. He then spent £40 on CDs.
Jack went back to the cash point.
He drew out the same amount of money as he had in his pocket.
He then spent a further £40 on CDs. Jack did this a third time.
He then had no money left. How much money did he have with him to start?

Distinguish between the phrases number concept and number sense.

In a doctor's clinic patients arrive at the rate of 5 per hour and the doctor has to spend on an average 10 minutes with each patient if the arrival process of the patients is assumed to be Possion