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Express x^2+4x-12 in the form (x+a)^2 +b by completing the square.

Completing the square of a function is sometimes used to find the stationary points on a curve, and also to solve when equaling zero. To complete the square firstly we have to halve the middle value of the p...
IB
Answered by Imogen B. • Maths tutor
7099 Views

How do I determine if a stationary point on a curve is the maximum or minimum?

If you are comfortable with differentiation. You can take the second derviatve of the equation of the cruve and plug in the x value of the curve. Based on this answer you can determine if it's a maximum, min...
ES
2960 Views

Given a second order Differential Equation, how does one derive the Characteristic equation where one can evaluate and find the constants

Given a ODE of the 2nd order, Ay''+by'+cy = 0, we assume the general solution of the exponential form y=e^(mx).As we will see this leads to an easy simplification due to the properties of the exponential . F...
WP
Answered by William P. • Maths tutor
3003 Views

Access the results of seeking to manage natural increase in a county with a population policy

Great situation to use case study knowledge, that of China's one-child policy or Russia's anti-natalist policies etc. Initially we need to understand what the question is asking us and focus on the governmen...
Answered by • Geography tutor
2121 Views

Can you explain the pathway of a reflex arc/pathway?

Normally, whenever we smell/touch/see/hear/taste anything, that information gets sent to our brain and is processed before the brain decides whether we need to respond to the information. However, in situati...
SD
Answered by Soha D. • Biology tutor
2719 Views