Answer:
The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere is given by the following equation:
In which r is the radius.
Implicit derivatives:
This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So
The radius of a sphere is increasing at a rate of 4 mm/s.
This means that
How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm?
This is when . So
The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
Answer: The difference between the given expressions would be
Step-by-step explanation:Step-by-step explanation:
Given phrase,
Difference between x+5 and 2x+3,
( By distributive property )
( By combining like terms )
Hence, the required difference would be
Answer:
$1271.25
Step-by-step explanation:
Since it's continuously compounded, the 2nd formula is most appropriate.
A=Pe^rt
P = initial investment = $1000
r = rate of increase = 8% = 0.08
t = time interval in years = 3
If you put in hlthe information you should have:
A = 1000•e^(0.08)(3) = $1271.25
The answer: 2x+y=16
Explanation: calculator