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Why does 'x' need to be in radians to differentiate 'sin x'?

There are two definitions of the sine and cosine functions that anyone who uses contemporary maths, and I do mean anyone, uses silently or otherwise. The first is as follows:'Rotate the point (1,0) in Euc...

Answered by • Maths tutor

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Pathogens are disease-causing organisms which can infect humans. Bacteria and viruses are two examples of pathogens. Explain the differences between bacteria and pathogens and give an example of each.

Bacteria:Contain naked DNAHave a cell wall, membrane and organelles - RibosomesAre cellsLarger than virusesCan survive without living ho...

Answered by Tabitha G. • Biology tutor

2265 Views

Differentiate y= (6x^2 - 5)^(3/2) with respect to x

Simplify the equation to y=u^3/2where u = 6x² -5Use the chain ruledy/dx = dy/du x du/dxdy/du = (3/2)u^1/2du/dx = 12x - 0Therefore dy/dx = (3/2)u^1/2 x 12xBut u = ...

Answered by • Maths tutor

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A car undergoes uniform acceleration from a starting velocity of 10ms^-1 to 20ms^-1 in 10s. Assuming the car's mass is 2000kg, calculate the net force in the direction of the acceleration.

We need to find the net force. We are given a starting and final velocity, the length of time the acceleration took place and the total weight of the car. We can use F=ma to calculate the net force. Since...

Answered by • Physics tutor

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13/2 - 5/3 = ?

Change both the denominators to 6...Times 13/2 by 3 to get 39/6Times 5/3 by 2 to get 10/6
Then its 39/6 - 10/6 and then look at the numerator and work out 39-10 = 29The answer is therefore 29/6

Answered by Patsy B. • Maths tutor

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