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Find the equation of the tangent to the curve y = 2 ln(2e - x) at the point on the curve where x = e.

The first step is to find the y coordinate at the point on the curve where x = e. To do this we subsitute x = e into the equation of the curve, so y = 2ln(2e - x) becomes y = 2ln(2e - e). Simplifying this, w...
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Answered by Rhiannon T. • Maths tutor
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Solve x^2 - 6x - 2=0 giving your answer in simplified surd form.

SInce the question requires simplified surd form, it makes sense to use the quadratic formula immediately for this question. This would give us x = 6 [+-] squareroot(36-(4x1x-2)) / 2 which simplifies to x= 6...
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Answered by Molly B. • Maths tutor
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Use logarithms to solve 9^x=15

According to the rules of logarithms, when you take a log of something to the power of something, you multiply the log of the base by the power, so in this case, taking logs of both sides would give us xlog9...
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Answered by Molly B. • Maths tutor
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Explain the sliding filament theory

Explain the sliding filament theory The sliding filament theory describes the process by which muscles contract. Muscle fibres are made up of myofibrils. Myofibrils comprise of sarcomeres, containing actin a...
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Answered by Michaela S. • Biology tutor
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What is the Ansoff Matrix

The Ansoff Matrix is corporate growth strategy model. It is composed of a grid with four sections. Market penetration, Product development, Market development and Diversification.Market Penetration is when a...
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