According to the above graph, which industry will have 25% more growth than health services over the period from 2000 to 2010?
2 answers:
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Answer:
Step-by-step explanation:
The formula for the volume for a solid of revolution about the x-axis on an interval [a,b] is
If y = 4 - ½x, a = 1, and b = 2,
The solid looks like the graph below.
Let the curve C be the intersection of the cylinder
and the plane
The projection of C on to the x-y plane is the ellipse
To see clearly that this is an ellipse, le us divide through by 16, to get
or
,
We can write the following parametric equations,
for
Since C lies on the plane,
it must satisfy its equation.
Let us make z the subject first,
This implies that,
We can now write the vector equation of C, to obtain,
The length of the curve of the intersection of the cylinder and the plane is now given by,
But
Therefore the length of the curve of the intersection intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.
