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Solve the equation cos2x - 5cosx = 2

cos2x= 2cos^2x - 1 2cos^2x - 1 - 5cosx = 2 Let cosx = y 2y^2 - 5y - 3 = 0 (2y + 1)(y + 3) = 0 y = -1/2 or -3 cosx = -1/2 or -3 x = 120 degrees
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Answered by Pearl V. Maths tutor
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Expand the expression (1+3x)^1/3 up to the term x^3.

= 1 + 3x 1/3 + (1/3 -2/3)(3x)^2 + (1/3*-2/3*-5/3)(3x)^3 = 1 + x - 2x^2 + 10x^3
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Answered by Pearl V. Maths tutor
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Pushing a mass up a slope and energy

Please note: knowledge of the SUVAT equations, friction and trigonometry is required for this thread. Energy comes in many forms, and here we will focus on kinetic energy (KE) and potential energy (PE). Belo...
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Answered by Daniel S. Maths tutor
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What is a liquidity ratio?

Liquidity ratios help the firm to gauge on its ability to pay off its short-term debts. Generally, the higher the ration, the better is the vompany's position to pay off its debt. The most common liquidity r...
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What is a Tree Diagram?

A Tree Diagram is a useful tool to calculate probabilities. By drawing a "Tree Diagram" and writing down all possible outcomes, it is very easy to calculate simple probabilities by moving through t...
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Answered by Fahmeed R. Maths tutor
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