A particle moves along the curve x2 = 2y. At what point, ordinate inc

1.	A particle moves along the curve x2 = 2y. At what point, ordinate increases at the same rate as abscissa increases?
Answer» x² = 2y ........(1) 2x dx/dt = 2 dy/dt (given dy/dt = dx/dt) 2x dx/dt = 2 dx/dt x = 1 from (1) y = 1/2 so point is (1, 1/2)

A particle moves along the curve x2 = 2y. At what point, ordinate increases at the same rate as abscissa increases?

Answer»

x² = 2y ........(1)

2x dx/dt = 2 dy/dt (given dy/dt = dx/dt)

2x dx/dt = 2 dx/dt

x = 1

from (1)

y = 1/2

so point is (1, 1/2)

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A particle moves along the curve x2 = 2y. At what point, ordinate increases at the same rate as abscissa increases?

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