Question

">A doctor who is treated a heart patient wants to presicribe medication to lowere the patients blood pressure. The body's reaction to this medication is a function of the dose admininistered. If the patient takes x milliters of the medication, his blood pressure should decrease by r=f(x) points where

f(x)=3x^2-1/3x^3

How much should the patients blood pressure drop if he takes 2 milliieters of medication

which i got 9.333

What is the maximum drop in blood pressure that can be achieved with this medication ?

Answer 1

For the first part, just substitute 2 for x and solve.

For the second part, derive and set equal to zero, solve.

Answer 2

sii it would be 3(2)^2-1/3(2)^3=0

Answer 3

so it would be like 3(2)^2-1/3(2)^3=0

Answer 4

They're separate parts. First you solve for x=2 and then set the derivative to zero and solve to find the dosage that gives the maximum.

Answer 5

Once you find the dosage, you can out that in the original equation to ge the maximum drop in pressure.

Answer 6

can u show please

Answer 7

please

Answer 8

like how do u solve for x=2

Answer 9

r u there

Answer 10

Sure.
\[F(2)=(3(2^{2}))\div(3(2^{3})) = 12/24 = 1/2\]
Which gives us the points that he dropped by taking 2 mL of medication.

This is how Hurons the max:
\[F'(x)=[6x](3x ^{3}) - (3x ^{2}-1)[9x2] \div (3x ^{3})^{2}\]

Setting that equal to zero, we get x=+-1.

We know it can't be negative 1 because you can't give negative medicine, so plug in one and solve to get 2/3.

Answer 11

plug in 1 where

Answer 12

for what values of x make sencefor this function

Answer 13

and use interval notation

Answer 14

Find the first three terms in asending powers.

1-2x^2-x^4)(4+x^2-2x^4)