Over twenty years, it was found that the number of doctors of medicine, MD (in thousands), in the United States can be approxima
ted by MD=(28,390+693t)/(85-t) where t=0 represents 1980. The number of doctors of osteopathy, DO (in thousands), can be approximated by DO=(776-12t)/(65-2t) .
Write an expression for the total number I of doctors of medicine (MD) and doctors of osteopathy (DO). Simplify the result.
How many MDs did the United States have in 2010? How many MDs did the United States have in 2010?
Write an expression for the total number I of doctors of medicine (MD) and doctors of osteopathy (DO). Simplify the result.
How many MDs did the United States have in 2010? How many MDs did the United States have in 2010?
1 answer:
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Answer:
∫ =
Step-by-step explanation:
To find:
∫
Solution:
Method of substitution:
Let
Differentiate both sides with respect to
[use ]
So,
∫ = ∫
=
where
is a variable.
(Use ∫ )
Put
∫ =
Use
So,
∫ =
where
Without using substitution:
∫ = ∫
=
So, same answer is obtained in both the cases.