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hannahkharel2
23.07.2021 •
Mathematics
If the volume of the expanding cube is increasing at the rate 24 cm3 / min , how fast is its surface area increasing when the surface area is 216 cm2 ?
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Ответ:
16 cm^2/min
Step-by-step explanation:
dV/dt=24
V=a^3, differentiate with respect to t
dV/dt=3a^2*da/dt, a^2*da/dt=8
S=6a^2, 216=6a^2. a=6. da/dt=(8/36)
dS/dt=12*a*da/dt=12*(8/6)=16 cm^2/min
Ответ:
1250mph you'd tear through the crust of the earth and create a supervolcano to end all of us.
Step-by-step explanation:
Never fall that fast when parachuting, only you can prevent supervolcanoes.