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:
Step-by-step explanation:
Well, I really don’t like graphic approaches in math, so hear ya go a formula:
Although there are easier ways that work for some quadratics, but this formula works for them all. (It is atached, have a look)
So,
( -(-2)+- square root of ((-2)^2-4(1)(-40)) ) / 2(1)
Note that for a hear I use one, since there is nothing in front of x.
( 2 + (12.8) ) / 2 < with plus
( 2 -(12.8) ) / 2 < with minus
X = 7.4
Or
X = -5.4
(Quad equations have 2 answers)
E = mgh
m = E/gh
g = E/mh
h = E/mg