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A particle moves along the curve
. Find the points on the curve at which the y-coordinate is changing 8 times as fast as the x-coordinate.
Asked by Chittaranjan Last Modified
Answer 
Harshit Bhardwaj
The equation of the curve is given as:
The rate of change of the position of the particle with respect to time (t) is given by,
When the y-coordinate of the particle changes 8 times as fast as the
x-coordinate i.e.,
, we have:
When
.
When
.
Hence, the points required on the curve are (4, 11) and 
Related Questions
The rate of change of the area of a circle with respect to its radius r at r = 6 cm is
(A) 10π (B) 12π (C) 8π (D) 11π
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