Answer:
i think :
3 hours and 35 min
2 hours and 45 min
4 hours and 30 min
4 hours and 5 min
The instantaneous rate of change of with respect to at the value is 18.
Step-by-step explanation:
a) Geometrically speaking, the average rate of change of with respect to over the interval by definition of secant line:
(1)
Where:
, - Lower and upper bounds of the interval.
, - Function exaluated at lower and upper bounds of the interval.
If we know that , and , then the average rate of change of with respect to over the interval is:
The average rate of change of with respect to over the interval is 27.
b) The instantaneous rate of change can be determined by the following definition:
(2)
- Change rate.
, - Function evaluated at and .
If we know that and , then the instantaneous rate of change of with respect to is:
9 sqrt(2) /2 = PQ
Since this is a right triangle, we can use trig functions
sin theta = opp/ hypotenuse
sin 45 = PQ = 9
9 sin 45 = PQ
V = 4/3 pi r^3 for a sphere
You can't a circle is a two dimensional object.
The volume of a sphere, which is the three dimensional form of a circle is found by
V = 4/3 pi r^3
Where r is the radius
x = 19
To find the value of x, you set the equations as equal to each other:
Then you simplify: