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Given that x=ln(t) and y=4t^3,a) find an expression for dy/dx, b)and the value of t when d2y/dx2 =0.48. Give your answer to 2 decimal place.

a) Firstly, differentiate x and y with respect to t. Giving you dx/dt = 1/t and dy/dt = 12t 2 dy/dx is found using the chain rule: dy/dx = dy/dt x dt/dx = 12t 3 b) You will need to differentiate dy/dx again ...
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Answered by Sara W. • Maths tutor
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Explain the meaning of opportunity cost?

The benefits foregone of the next best alternative.
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Answered by Alessio O. • Economics tutor
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solve the inequality 5x + 3> 3x - 6

5x +3 > 3x -6 2x +3 > -6 (-3x from both sides) 2x > -9 (-3 from both sides) x > -4.5 (divide by two on both sides)
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Answered by Anna L. • Maths tutor
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Using two theories, explain Marxists theories on crime and deviance

Marxists argue the sole nature and organization of capitalism fosters an environment where crime is encouraged and the potential for criminal behaviour is increased Gordon (1976) argues that crime is seen as...
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Answered by Zvi O. • Sociology tutor
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Tips for writing an essay?

A loose essay structure is a good plan to help you start an exam question, but shouldn't be something which is set in stone. For example, it is a good idea to begin with a brief introduction and is important...
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Answered by Emma S. • Sociology tutor
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