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
Answer:
Step-by-step explanation:
Step 1: Expand by distributing sum groups.
Step 2: Expand by distributing terms.
Step 3: Expand by distributing terms.
Step 4: Collect like terms.
Step 5: Simplify.
No circumference of a circle is very easy to me
Answer:
$429.75
Step-by-step explanation:
First, find the tax rate on the sale of the boat: Let r represent that rate. Then,
$12,500r = $562.50. Solving for r, we get r = $562.50 / $12,500 = 0.045
The tax rate is 0.045, or 4.5%.
Applying this tax rate to a boat selling for $9,550:
0.045($9,550) = $429.75. This is the amount of tax on the 2nd boat.
6x^2 is the correct answer to the problem.
