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

1. For what values of x is R=0

Answer 1

So you are trying to find when R = 0, which is when f(x) = 0, which is when
3x^2-1/3x^3 = 0
Start by factoring, what factors are common in both terms on the left of the equation?

Answer 2

3x

Answer 3

i guess

Answer 4

There's more...

Answer 5

i d k

Answer 6

ok, not 3, but yes x, and another x can be factored out too:
x^2(3 - 1/3x) = 0
Then each part can equal zero to make the whole thing equal zero because they are being multiplied

Answer 7

...so solve x^2 = 0 and 3-1/3x = 0 and you have both solutions...

Answer 8

how do i do that

Answer 9

can u show me

Answer 10

What values for x can make x^2 = 0 ?

Answer 11

o

Answer 12

right, that's one solution

Answer 13

now how do i do the second equation

Answer 14

to solve 3 - 1/3x = 0:
3 - 1/3x = 0
add 1/3x to each side
3 - 1/3x + 1/3x = 0 + 1/3x
on the left they cancel by subtraction and on the right, the zero is extra:
3 + 0 = 1/3x...

Answer 15

...then the zero on the right is extra:
3 = 1/3x
Then, since x is being multiplied by 1/3, you do the operation that would "undo" that, which is multiply by 3 (same as divide by 1/3) again on both sides:
3*3 = 3*1/3x
9 = 1x
9 = x
Second solution

Answer 16

ok

Answer 17

from theat question can u help me with one more

Answer 18

what values of x make sence for this function

Answer 19

modulas can u help me

Answer 20

what values of x make sence for this function

Answer 21

can u help me