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

Simplify the equation to y=u3/2 where u = 6x2 -5Use the chain ruledy/dx = dy/du x du/dxdy/du = (3/2)u1/2du/dx = 12x - 0Therefore dy/dx = (3/2)u1/2 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
2410 Views

What is a functionalists main view on the structure of society and its modernisation

functionalists would argue that the structure of society comes from a notion of organic analogy that all parts of society work together as a body would, if one element (organ) fails then so should/will th...

CW
Answered by Cerys W. Sociology tutor
1905 Views

'Find the first derivative, with respect to x, of arctan(1/x) for non-zero real x. Hence show that the value of arctan(x)+arctan(1/x) is constant for all non-zero x, explicitly stating this constant in your final answer.' How do I solve this?

I have linked the solution to this problem here.

https://www.icloud.com/iclouddrive/0mLKDeFREhbvTJm6D09jFakcw#Solution

2622 Views

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