Graph the piecewise-defined function.
1 answer:
Answer:
We have to graph the piecewise-defined function h(x) which is given as:
h(x)= x^3 ' if x <0
and √x ' if x ≥ 0.
We could clearly see that the graph of a function is continuous since the left hand limit(L.H.L) of the function is equal to the right hand limit(RH.L.) is equal to the value of the function at x=0.
L.H.L=R.H.L=h(0)=0
Also the graph of the function h(x) in the region (-∞,) is a graph of the cubic function x^3 and the graph of the function h(x) in the region [0,∞) is the graph of the square root function √x.
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Answer:
1130.97336 units^3
Step-by-step explanation:
The volume of a cylinder can be found using:
We have the area of the base, but not the radius
We know the area is , so we can substitute that in for a
We want to find r, so we need to isolate it
Divide both sides by pi
36=r^2
Take the square root of both sides
6=r
Now we know the radius, and can substitute it into the volume formula, and we can substitute the height (10) in
Solve the exponent
v=1130.97336
The volume is 1130.97336 units^3