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How do you find the normal to a curve at a given co-ordinate?

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, replacing ...
SI
Answered by Srabon I. • Maths tutor
5173 Views

Find the equation of the line that is perpendicular to the line 3x+5y=7 and passes through point (-2,-3) in the form px+qy+r=0

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
PI
Answered by Paul I. • Maths tutor
9499 Views

Differentiate y=sin(x)*x^2.

Using the chain rule, we let u = sin(x) and v = x^2. Then dy/dx = u dv/dx + v du/dx. dv/dx = 2x and du/dx = cos(x). So dy/dx = sin(x) 2x + x^2 cos(x).
LM
Answered by Lucy M. • Maths tutor
4749 Views

What was the greatest threat to Britain's position as a world power in the years 1874-1901?

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 in Africa,...
AB
Answered by Athavan B. • History tutor
7635 Views

discuss the strengths and weaknesses of Kant's Deontological ethics, how well does it work as a theory?

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 al...
CR
47895 Views