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1/y² dy/dx = sec²(x)∫ 1/y² dy/dx dx = ∫ sec²(x) dx-1/y + C₁ = tan(x) + C₂y = -1/(tan(x) + A) where A = C₂ - C₁y(0) = -1/A so y(0) = 1 means A = -1. Finished!

To help the student understand how to expand the brackets I would start by splitting the equation to:3x²(x - 3) + 6x(x - 3) + 7(x - 3)I then would ask the student to expand these brackets to:3...

Palaeomagnetism deals with the past magnetic states of the earth. In the 1900's geographers were interested in the mid Atlantic ridge, its on a constructive plate margin, meaning the crust further away fr...

Rough endoplasmic reticulum, Mitochondria, Golgi apparatus

CO₂ from respiring tissues diffuses into erythrocytes (red blood cells) where it reacts with water to form carbonic acid (process catalysed by the enzyme carbonic anhydrase). The carbonic acid...