question_answer 11)

A particle moves along the curve 6y = x3 + 2. Find the points on the curve at which the y-coordinate is changing 8 times at fast at the x-coordinate. 

Answer:

Given curve is 6y = x3 + 2                      ?. (1)       Diff. (1) w.r.t.                                         ?. (2)       Also given that                  ?.. (3)       (2) and (3)                          is not constant)             (1)  6y = (?4)3 + 2 when x = ?4       6y = ?64 + 2       y = ?62       y =       and 6y = (4)4 + 2 when x = 4              y = 11        Required points are  and (4, 11).