Question

Asked Jul 8, 2019

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The number of miligrams x of a medication in the bloodstream t hours after a dose is taken can be modeled by

x(t)= 2000t/t^2+16

(a) For what t-values is x increasing?

(b) Find the t-value at which s is maximum.

(c) Fine the maximum value of x.

Step 1

we are given a function

Step 2

Now, we will find derivative and then we can set derivative to 0

and then we can solve for t

and then we find point and time can never be negative

so, we will only consider t=4

Step 3

Now, we can draw a number line and locate t=4

and then we can find sign of derivative on each intervals

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