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

Simplify the equation to y=u 3/2 where u = 6x 2 -5Use the chain ruledy/dx = dy/du x du/dxdy/du = (3/2)u 1/2 du/dx = 12x - 0Therefore dy/dx = (3/2)u 1/2 x 12xBut u = 6x 2 -5 so substitute that into the deriva...
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 ma...
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
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Answered by Patsy B. • Maths tutor
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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 the o...
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Answered by Cerys W. • Sociology tutor
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'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
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