Question
All edges of a cube are expanding at a rate of 8 centimeters per second.
(a) How fast is the volume changing when each edge is 4 cm?
(b) How fast is the volume changing when each edge is 10 cm?
Kind of confused...
V = x^3
dx/dt = 8
dV/dt = 3x^2 dx/dt
(a) When x = 4, ???
(b) When x = 10, ???
(a) How fast is the volume changing when each edge is 4 cm?
(b) How fast is the volume changing when each edge is 10 cm?
Kind of confused...
V = x^3
dx/dt = 8
dV/dt = 3x^2 dx/dt
(a) When x = 4, ???
(b) When x = 10, ???
Answers
bobpursley
a) dVdt=3x^2 dx/dt
=2(16)(8) cm^3/sec
=2(16)(8) cm^3/sec
.
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