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A baseball is thrown horizontally with an initial velocity of 20 m/s from


the height of 1.5 m. How long will it take to reach the ground? How far


will it go horizontally?

A basket contains 12 ripe and 7 unripe mangoes. If four mangoes are taken from the basket one after the other, how many samples space we have in this experiment?

A population consistent of value 3,5,7 and 9





1)List all the possible of size n=3 when drawing with replacement and compute the mean of each sample





2) construct a sampling distribution of the mean





3) compute for the mean and variance of the of the sample means

Using the Chain Rule, find the š‘‘š‘¦/š‘‘š‘„ and express the final answer in term of x.

š‘¦ = 2š‘¢/š‘¢Ā²āˆ’1 , u=x²


The take-off velocity of a small jet plane on a straight runway is 55 ms. If the average acceleration of the plane during take-off is 2.2 ms^2, calculate the time the plane will take to reach its take-off velocity.


The volume, V cm3, of a metallic cube of side length x cm, is increasing at the constant rate of 0.216 cm3 s– 1 .



(a) Determine the rate at which the side of the cube is increasing when the side length reaches 6 cm.



(b) Find the rate at which the surface area of the cube, A cm2, is increasing when the side length reaches 6 cm.


Consider the function, f x( ) = 2x3 āˆ’24x2 āˆ’7. Find the intervals of x where f(x) is increasing or decreasing.


Find the coordinates of the points on the curve š‘¦ = 3š‘„3 āˆ’ 2š‘„2 āˆ’ 12š‘„ + 2 where the normal is parallel to the line š‘¦ = āˆ’š‘„ + 1.


A sample of 0.846 mol Ne gas at 18°C has a volume of 18.5 L under a pressure of 1.09 atm. The gas is then compressed to 10.5 L at 18°C. Calculate the final pressure.


Explain two important processes depending on osmosis in the body


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