The point on the curve y2 = x, whose the tangent makes an angle of 45o with x - axis will be given by
( 1/2, 1/4 )
( 1/2, 1/2 )
( 1/4, 1/2 )
If a particle moving along a line follows the law t = as2 + bs + c, then the retardation of the particle is proportional to
Square of the velocity
Cube of the displacement
Cube of the velocity
Square of the displacement
On the intervals [0, 1 ] the function x25 ( 1 - x ) 75 takes its maximum value at the point:
1/4
1/2
If y = a log | x | + bx2 + x has its extreme value at x = -1 and x = 2 then:
a = 2, b = -1
a = 2, b = -1/2
a = -2, b = 1/2
None of these
Divide 20 into two parts such that the product of one part and the cube of the other is maximum then two parts
( 10, 10)
( 12, 8 )
( 15, 5 )
For the curve y = xex , the point
x = -1 is a point of minima
x = 0 is a point of minima
x = -1 is a point of maxima
x = 0 is a point of maxima
If the rate of change of area of a circle is equal to the rate of change of its diameter,then its radius =
If y = cos x, x = π/6, dx = 0.05 then find the value of dy ?
The equation of the tangent to the curve y = 2sinx + sin2x at x = π/3 is equal to:
2y = 3√3
y = 3√3
2y + 3 √3 = 0
y + 3 √3 = 0
Minimum value of f(x) = Sinx in -π/2≤x≤π/2 is
