anonymous
  • anonymous
Find the rate of change
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
ummm
anonymous
  • anonymous
let me try

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anonymous
  • anonymous
okk
anonymous
  • anonymous
answer choice?
anonymous
  • anonymous
@aloud can you help me out?
anonymous
  • anonymous
it's not any answer choices
anonymous
  • anonymous
kind in a tight situation
anonymous
  • anonymous
i have to go in couple min
anonymous
  • anonymous
lol ya ik me to
anonymous
  • anonymous
@H3LPN33DED help plz?
anonymous
  • anonymous
@TillLindemann
anonymous
  • anonymous
sorry dianolove idk this one i am only in geometry
anonymous
  • anonymous
it's okk
anonymous
  • anonymous
(1,2) (2,3)
anonymous
  • anonymous
@braydenbunner
anonymous
  • anonymous
@aloud, that would be an approximation of the rate of change
anonymous
  • anonymous
however, at the point (2,3) -tangent to curve you would have an exact rate of change
anonymous
  • anonymous
so the rate of change is (2,3)
anonymous
  • anonymous
The way to solve this exercise is to first find the equation of the parabola, followed by the derivative of it and for that you will have to choose a particular x - value.
anonymous
  • anonymous
like (2,1)
anonymous
  • anonymous
What aboyt the reverse, @Hoslos , if you know the derivative at a point, can you integrate to find original function?
anonymous
  • anonymous
Let us find the equation of the parabola, using the formula: \[y=a(x-p)^{2}+q\], where x,y is from any coordinate of the graph and p and q are the x and y - values of the vertex, respectively. The first attempt is to find a . Replacing values, we get: \[1=a(1-3)^{2}+2\] \[1=a(-2)^{2}+2\] \[1-2=4a\] \[a=-0.25\] Next we re-write the equation, by now putting a and the vertex coordinates, giving us: \[y=-0.25(x-3)^{2} +2\]
anonymous
  • anonymous
Well, the rate of change will have to end at the derivative, which will mean the change in y with respect to x, @BPDlkeme234 .
anonymous
  • anonymous
i'm sorry this is just hard
anonymous
  • anonymous
As for the second part, you differentiate the equation of the formula: \[\frac{ d _{y} }{ d _{x} }= -0.5(x-3)\] There it is. Depending on the question, they would tell you a particular value of x runing in the graph. For instance let us say, when the x-value is 2. The rate of change will be \[-0.5(2-3)=0.5units/time\] Any question on differentiation, please ask.
anonymous
  • anonymous
thanks for tryin i still dont get it but thanks

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