The edge of a cube is increasing at the rate of 0.3 cm/s, the rate of change of its surface area when edge is 3 cm is __________________.
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Let the edge =x Then volume V =x³ Hence DV/dt=3x²dx/dt When x= 5 cm and dx/dt=10cm/sec ... More
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If s is the length of each side of the cube and V is the volume, then ds/dt=10 V=s^3 dV/dt=3×s^2 ... More
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750cm^3/sec More
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