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Mathematics
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Applied Calculus
Quiz 6: Integration
Path 4
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Question 241
Essay
Find the indefinite integral.
Question 242
Essay
Find the function f given that the slope of the tangent line to the graph of f at any point (x, f (x)) is f
'(x) and that the graph of f passes through the given point.
Question 243
Essay
Find the indefinite integral.
Question 244
Essay
Find the function
given that the slope of the tangent line to the graph of
at any point
is
and that the graph of
passes through the given point.
Question 245
Essay
Find the indefinite integral.
Question 246
Essay
Find the indefinite integral.
Question 247
Essay
Find the indefinite integral.Hint:
implies
.
Question 248
Essay
Find the indefinite integral.
Question 249
Essay
A drug is carried into an organ of volume
by a liquid that enters the organ at the rate of
and leaves it at the rate of
.The concentration of the drug in the liquid entering the organ is
.If the concentration of the drug in the organ at time
is increasing at the rate of
, and the concentration of the drug in the organ initially is
, show that the concentration of the drug in the organ at time
is given by
Question 250
Multiple Choice
Find the indefinite integral.