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Given x=Sqrt(3)sin(2t) and y=4cos^2(t), where 0<t<pi. Show that dy/dx = kSqrt(3)tan(2t).

Differentiating the equation for x with respect to t, we get: dx/dt=2Sqrt(3)cos(2t);Take the reciprocal of dx/dt to get dt/dx=1/[2Sqrt(3)cos(2t)]Using a trigonometric identity on the equation for y, we ge...

Answered by Peter C. • Maths tutor

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There are a number of push and pull factors that cause rapid urbanisation in lowincome developing countries (LIDCs). Explain how two push factors cause rapid urbanisation in LIDCs.

One push factor that can cause rapid urbanisation in LIDCs are the lower levels of education quality within rural areas. For example in China, rural Tibet has an illiteracy rate of 43% compared with the m...

Answered by Hannah M. • Geography tutor

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What is the Euthyphro dilemma, and why does it pose a problem for theists?

The Euthyphro dilemma is an issue from Plato's Euthyphro dialogue. It is a problem concerning whether things are morally obligatory because of their nature, or because God (or gods) will them. Socrates as...

Answered by Dominic G. • Philosophy tutor

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John bought 7 bags of cement and 3 bags of gravel with the total weight of 215kgs. Shona bought 5 bags of cement and 4 bags of gravel with the total weight of 200kgs. How much does 1 bag of cement weigh and how much does 1 bag of gravel weigh?

Step 1: Write down the information we got in a simplified form => cement (c) .... 7 bags .... 5 bags, gravel (g) ...... 3 bags .... 4 bags, total weight .. 215kgs ... ...

Answered by Jana V. • Maths tutor

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