Whooh
SA=4pir²
take derivitive
dSA/dt=8pir dr/dt
and do the volume as well
V=(4/3)pir³
dV/dt=4pir² dr/dt
we need to solve for dV/dt
to do taht we need dr/dt
so
dSA/dt=8pir dr/dt
given dSA/dt=3pi cm/sec
r=2
3pi=8pi2 dr/dt
3=16 dr/dt
3/16=dr/dt
now do the volume
dV/dt=4pir² dr/dt
r=2
dr/dt=3/16
dV/dt=4pi2² (3/16)
dV/dt=16pi(3/16)
dV/dt=3pi
nice
the volume of the sphere is decreasing at 3pi cm/sec as well
You didn't show the examples so I can't really say anything
Answer:
x=3.5
Step-by-step explanation:
Answer:
3.42
Step-by-step explanation:
41/12 is 3.42
Suppose is another solution. Then
Substituting these derivatives into the ODE gives
Let , so that
Then the ODE becomes
and we can condense the left hand side as a derivative of a product,
Integrate both sides with respect to :
Solve for :
Solve for :
So another linearly independent solution is .