Curve Sketching

Banking of road helps to increase the centripetal force and thereby increases the limit of maximum speed of vehicle with it can take the curve. Sketch the schematic diagram of a vehicle on a banked road and mark the various force acting on it.

Find the intersection S of the lines x-ty+t^(2)=0, tx+y-t^(3)-2t=0 . Show that S lies on the curve whose equation is y^(2)=4x . Sketch this curve.

Sketch the curve y="sin"^(2)x .

Sketch the curve y="sin"2x .

Sketch the curve y="sin"2x .

Sketch the curve y="sin"^(2)x .

Sketch the curve y=[sin[x]]in0

Sketch the curve y=sin[x] when -2 pi

Sketch the curves (ii) y=[x]+sqrt(x-[x]) (where [.] denotes the greatest integer function).

Sketch a curve to show the variation of magnetic flux density (B) with distance from a long straight conductor carrying current I.