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Given that y = 4x^3 -1 + 2x^1/2 (where x>0) find dy/dx.

This is an example of a common AS differentiation Q. To find dy/dx simply apply the power rule to each term in the equation. The power rule is if you have a term x^n then dy/dx will be n times x^(n-1). e....

Answered by Maths tutor
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The weight in grams, of beans in a tin is normally distributed with mean U and S.D. 7.8, given that 10% conntain more than 225g a) Find U b) % of tins that contain more than 225 grams(A2 stats)

for part a) you would need to use the formula (x-U)/S.D.=a where X=200 and S.D.=7.8. The student would need to calculate a with the information given. I here would use standard normal distribution here to...

Answered by Maths tutor
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Describe two leadership styles?

Autocratic: An autocratic leader is a dictator. He/she refuses to listen to his/her employees and does not value their opinion. He can motivate employees by threats. Democratic: A democratic leader values...

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At time t = 0, a particle is projected vertically upwards with speed u m s–1 from a point 10 m above the ground. At time T seconds, the particle hits the ground with speed 17.5 m s–1. Find the value of u and T and evaluate the model. (AS mechanics)

This is a classic suvat question that will most definately appear in the studnets exam without fail. To begin I would list all the values I have and notice that the ball being modelled as a particle denot...

Answered by Maths tutor
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How would you represent the decimal number 143 in 7 bit binary?

First look at the leftmost digit, which represents how many 128s are in the number. There is one 128 in 143, so we mark that as a 1. Then take the remainder of the value - in this case 143-128 = 15, and m...

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Answered by Joel C. Computing tutor
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