A particle starts at the origin and moves along the x?axis in such a way that its velocity at the point (x, 0) is given by the formula \[\frac{dx}{dt}={{\cos }^{2}}\pi x.\] Then the particle never reaches the point on [AMU 2000]

A particle starts at the origin and moves along the x?axis in such a w

1.	A particle starts at the origin and moves along the x?axis in such a way that its velocity at the point (x, 0) is given by the formula \[\frac{dx}{dt}={{\cos }^{2}}\pi x.\] Then the particle never reaches the point on [AMU 2000]
A.	\[x=\frac{1}{4}\]
B.	\[x=\frac{3}{4}\]
C.	\[x=\frac{1}{2}\]
D.	x = 1
Answer» D. x = 1

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A particle starts at the origin and moves along the x?axis in such a way that its velocity at the point (x, 0) is given by the formula \[\frac{dx}{dt}={{\cos }^{2}}\pi x.\] Then the particle never reaches the point on [AMU 2000]

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