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A curve has equation y = ax^2 + 3x, when x= -1, the gradient of the curve is -5. Work out the value of a.

The gradient of a curve at a point is given by dy/dxDifferentiate the equationplug in the valuesdy/dx = 2ax + 3x = -1, dy/dx = -5-5 = 2a*-1 + 38 = 2aa = 4
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Sources: How do I analyse and understand a source?

The evaluation and critique of sources is part of the foundation of historical understanding, as a result, sources are extensively used throughout the GCSE and A Level programmes. At GCSE level, source paper...
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Answered by Cordelia D. • History tutor
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I'm having trouble understanding and remembering the Utilitarianism Felicific calculus, can you help me remember it?

First of all, don't panic. Every philosopher gets their head into a spin with theories, and if they don't they probably aren't understanding it all... So Bentham's Utilitarianism can be broken down really si...
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Answered by Lorna T. • Philosophy tutor
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Given that x^2+10x+3 can be written in the form (x+a)^2+b, find the values of a and b.

We can tackle this question by completing the square. Completing the square allows us to write a quadratic equation (x^2+10x+3) in the simpler form (x+a)^2+b.To complete the square, first we need to find the...
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Answered by Katie C. • Maths tutor
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Explain the enhanced greenhouse effect?

The enhanced greenhouse effect has been caused by the anthropogenic emission of greenhouse gases such as CO2 and methane. These greenhouse gases cause heat from the sun to become trapped in the earth's atmos...
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Answered by Sean J. • Geography tutor
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