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

Show answers

Answers

Answer from: 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.

For more information please refer to the link below

link

Answer from: 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.

Answer from: Quest

a) 32pie square meters

step-by-step explanation:

Answer from: Quest

what "following statement"?

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 16:20

Which mathematical statements are true? 1) if 3 is an odd number, then 3 times 3 is an even number. 2) if 6 is less than 7, then 4 is greater than 7. 3) six is divisible by 3, and 10 is a multiple of 2. 4) the average of the data is greater than the largest value in the data, or it’s less than the largest value in the data. 5) the slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value. 6) if an equilateral triangle has equal angles, then all its angles will measure 45°.

Answers: 3

Answer

Mathematics, 21.06.2019 18:40

Which statements regarding efg are true? check all that apply.

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

Why is studying fractions important

Answers: 2

Answer

Mathematics, 21.06.2019 22:00

Fatima plans to spend at least $15 and at most $20 dollars on sketch pads and pencils. if she buys 2 sketchpads, how many pemcils can she buy while staying in her price range? fatima can buy between and pencils. ? (type whole numbers. use ascending? order.)

Answers: 1

Answer

You know the right answer?

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

Questions