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Find the tangent for the line y=x^3+3x^2+4x+2 at x=2

Firstly, differentiate the equation y=x 3 +3x 2 +4x+2 to find the gradient function. The gradient function is dy/dx and is found to be 3x 2 +6x+4 = f'(x) after differentiation. The simple rule is to multiply...
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Answered by Wafi C. Maths tutor
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Solve the simultaneous equations: 4x+5y = 38 , x-y = 5

Firstly number the two equations 1 and 2 for simplicity. To solve this we want to eliminate one of the variables, x or y, so we start by looking at the equations and seeing if we can add or subtract them fro...
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Answered by Ali A. Maths tutor
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What are the differences between aerobic and anaerobic respiration in animals?

Aerobic - requires oxygen, releases carbon dioxide and water, produces much more energy for the same amount of glucose. Anaerobic - doesn't require oxygen, releases lactic acid, much less efficient at produc...
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Answered by Musa A. Biology tutor
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Write a word equation for the reaction between lithium bromide and chlorine gas.

This is a displacement reaction as the more reactive halogen (chlorine) will displace the halide ion from the ionic compound (lithium bromide). This will result in the bromide being displaced and forming bro...
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Answered by Musa A. Chemistry tutor
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If Hannah slows down from a speed of 12 m/s to 8 m/s and has a mass of 45kg, how much force has been exerted on her to cause this deceleration?

Since force = mass x acceleration, acceleration = 4 as the change in velocity is 4 m/s and m = 45 as the mass of Hannah is 45 kg and hence the force required to be exerted on her is 4*45 which is 180N.
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Answered by Musa A. Physics tutor
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