The velocity of a particle at time t is given by the relation v = 6t - . The distance traveled in 3 s is, if s = 0 at t = 0
The maximum value of function x3 - 12x2 + 36x + 17 in the interval [1, 10] is
17
177
77
None of these
B.
177
Again, f''(x) = 6x - 24 is negative at x = 2 So that, f(6) = 17, f(2) = 49
At the end points, f(1) = 42, f(10) = 177
So that, f(x) has its maximum value 177.
The abscissae of the points, where the tangent is to curve y = x3 - 3x2 - 9x + 5 is parallel to x-axis, are
x = 0 and 0
x = 1 and - 1
x = 1 and - 3
x = - 1 and 3