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How do you factorise a quadratic equation

Factorising a quadratic can seem daunting at first but when broken down if to multiple steps it can be much more manageable. These steps will work for all basic quadratics so if you stick to the formula you ...
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Answered by Jake P. • Maths tutor
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How is our blood sugar regulated?

This is an important area of metabolic biology to understand. In non-diabetics, your blood sugar levels should be between 3.9 and 7.1 mmol/L (the unit shows that this is a concentration as it is how many mmo...
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Answered by Tutor133848 D. • Maths tutor
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A particle A of mass 0.1kg is moving at a speed of 1.5m/s to the right. It collides with a particle B of mass 0.3kg moving at a speed of 1.1m/s to the right. Calculate change in momentum of particle A if particle B has a speed of 1.4m/s after collision.

Momentum is conserved during the collision.Momentum = mass x velocityMomentum before = momentum after(mv) P1 + (mv) Q1 = (mv) P2 + (mv) Q2 (0.1 x 1.5) + (0.3 x 1.1) = 0.1v P2 + (0.3 x 1.4)v P2 = 0.6m/sChange...
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Answered by Juliet S. • Maths tutor
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What is the area under the graph of (x^2)*sin(x) between 0 and pi

To solve this integral you need to use integration by parts twice. You separate the two term in the integral into x^2 and sin(x). You then multiple x^2 by the integral of sin(x) (-cos(x)) and apply the upper...
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Answered by Khalil P. • Maths tutor
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A curve has parametric equations x = 1- cos(t), y = sin(t)sin(2t). Find dy/dx.

Here we have x(t) and y(t) which are both functions of t, but we want dy/dx, which doesn't involve t, we therefore need to use the chain rule. The chain rule tells us that: dy/dx = (dy/dt) x (dt/dx).y = sin(...
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Answered by William M. • Maths tutor
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