The function D(h) = 5e - 0.4h can be used to find the number of milligrams D of a certain drug that is in a patient’s bloodstream h hours after the drug has been administered. a) How many milligrams will be present after 1 hour? B) after 6 hours? (Round your answer to 2 decimal places.

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To answer these questions, we need to plug the given values of h into the function D(h) and calculate the result. Let's start with part (a):

a) To find the number of milligrams present after 1 hour, we need to substitute h = 1 into the function D(h):

D(1) = 5e^(-0.4 * 1)

To calculate this, we need to know the value of e, which is the mathematical constant approximately equal to 2.71828.

D(1) = 5e^(-0.4)

Using a calculator or software, we can find the value of D(1) by multiplying 5 with e raised to the power of -0.4. The result is approximately 3.24150.

Therefore, after 1 hour, there will be approximately 3.24 milligrams of the drug present in the patient's bloodstream.

Next, let's move on to part (b):

b) Similarly, to find the number of milligrams present after 6 hours, we substitute h = 6 into the function D(h):

D(6) = 5e^(-0.4 * 6)

Again, we need to calculate e^(-0.4 * 6) and multiply it by 5. The value of e^(-0.4 * 6) is approximately 0.30119.

D(6) = 5 * 0.30119

Multiplying 5 with 0.30119 gives us approximately 1.50595.

Therefore, after 6 hours, there will be approximately 1.51 milligrams of the drug present in the patient's bloodstream.

So, to summarize:
a) After 1 hour: Approximately 3.24 milligrams
b) After 6 hours: Approximately 1.51 milligrams

what, you can't plug in h=1 or h=6?

and online you write 5e^(-0.4h)