160 in 3 could not be its volume :) 160 divided by 3 is 53.33333333
Answer:
(a)
if
then
and if x<0 then 
(b)
That is straightforward from what you showed on theorem 3.25
(c)
Following the same ideas from (a) x>a or -x > a.
Step-by-step explanation:
Remember how we define the absolute value of a number.
(a)
In general

Therefore if
you have two cases, if
then
and if x<0 then 
(b)
That is straightforward from what you showed on theorem 3.25
(c)
Following the same ideas from (a) x>a or -x > a.
<span>t=10, so p(10)=430*1.009^10? hope this helps:)</span>
Considering the ballon to be spherical
It's volume is given by 4/3(π r^3) by differentiating volume with respect to time we get rate of change of volume hence,
4πr^2(dr/dt)=600÷60=10
Substituting r=30cm
4π(30)*(30)(dr/dt)=10
dr/dt=rate of increase in bullion's radius=1/(360π)cm/s