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1. You first find the gradient of the tangent to the curve at this given co-ordinate by differentiating the given equation of the curve, and then, assuming the equation of the curve is in terms of x, r...

Gradient of line 3x+5y=7: 5y=-3x+7, y=-3/5x+7/5 gradient = -3/5 Gradient of perpendicular line: 5/3 Perpendicular line with points: y+3=5/3(x+2), 3y+9=5(x+2), 3y+9=5x+10, 5x-3y+1=0

Using the chain rule, we let u = sin(x) and v = x^2. Then dy/dx = udv/dx + vdu/dx. dv/dx = 2x and du/dx = cos(x). So dy/dx = sin(x)2x + x^2cos(x).

1. OVERSEAS COMPETITION - Russia (1874-1885) - balance of power in Balkans and Med., threatening India and British trade dominance in China Germany (1885-1905) - threatened British colonial dominance i...

Outline very briefly who Kant was, he was a german philosopher who argued that morality was a matter of absolute rules, rules that admit no exceptions and appeal not to religious considerations but reason...