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You should make the past participle agree with its subject in the following cases:
1) It is a past participle of an ordinary verb conjugated with ETRE E.g. je suis all...

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!

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...

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...

To find a gradient at a given point, first we differentiate then we sub in the x coordinate of the point. To differentiate 4(8x+2)⁴ we must use the chain rule. First we let u=...