Mathematics, 05.05.2020 19:16, gd9075

When a certain prescription drug is taken orally by an adult, the amount of the drug (in mg/L) in the bloodstream at t hours is given by the function y=f(t)
1. What is the concentration of the drug in the bloodstream at t= 8 hours?
2. During what time interval is the drug level in the bloodstream increasing? Decreasing?

Answers: 1

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Answers

answered: lays20001

(1) The concentration of drug in the bloodstream in 8 hours is given by

$\rm \bold{y = f (8)}$

(2) The time interval for which $\rm y'=f'(t)0$ the drug level of the bloodstream is increasing.

The time interval for which $\rm y' = f'(t)$ the drug level of the bloodstream is decreasing.

When a certain prescription drug is taken orally by an adult.

the amount of the drug (in mg/L) in the bloodstream at t hours is given by the function y=f(t)

To be determined

(1) The concentration of the drug in the bloodstream at t= 8 hours

(2) During what time interval is the drug level in the bloodstream increasing or deceasing

The amount of the drug (in mg/L) in the bloodstream at t hours is given by the function

y=f(t).......(1)

(1) The concentration of drug in the bloodstream in 8 hours is given by putting t= 8 in the equation (1) which can be formulated as below

$\rm y = f (8)$

(2) From the definition of increasing and decreasing function we can write that

$\rm y = f(x) \; is \; increasing \; when \; f' (x)0 \\and\; y = f(x) ; is \; decreasing \; when \; f' (x)$

By the definition of increasing and decreasing function we can say that

The time interval for which $\rm y'=f'(t)0$ the drug level of the bloodstream is increasing.

The time interval for which $\rm y'=f'(t)$ the drug level of the blood stream is decreasing.

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answered: vkffgj

1. y = f(8)

2. So for t which f'(t) > 0, the drug level in the bloodstream is increasing. And for t which f'(t) < 0, it is decreasing.

Step-by-step explanation:

The concentration of the drug in the bloodstream at t hours is:

y = f(t)

1. What is the concentration of the drug in the bloodstream at t= 8 hours?

At t hours, y = f(t)

So at 8 hours, y = f(8)

2. During what time interval is the drug level in the bloodstream increasing? Decreasing?

A function f(t) is increasing when

f'(t) > 0

And is decreasing when

f'(t) < 0

So for t which f'(t) > 0, the drug level in the bloodstream is increasing. And for t which f'(t) < 0, it is decreasing.

answered: Guest

none.

step-by-step explanation:

m1=5

−

b=-1

find the slope and y-intercept of the second equation.

tap for more

m2=0

−

b=-6

compare the slopes

m of the two equations.

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m1=5,m2=0

answered: Guest

3100

step-by-step explanation:

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When a certain prescription drug is taken orally by an adult, the amount of the drug (in mg/L) in th...