A particle moves along the curve $8y=x^3+7.$ The points on the curve at which y-coordinate is changing 6 times as fast as the x-coordinate are : |
$(8, 7) \left(-8, -\frac{13}{4}\right)$ $(4, \frac{71}{8}) \left(-4, -\frac{57}{8}\right)$ $(2, 4) \left(-2, -\frac{27}{4}\right)$ $(4, 12) \left(-4, -\frac{33}{4}\right)$ |
$(4, \frac{71}{8}) \left(-4, -\frac{57}{8}\right)$ |