anonymous
  • anonymous
Let g(x)=2x^2+2x+1. Find the value of c between 1 and 3 such that the average rate of change of g(x) from x=1 to x=3 is equal to the instantaneous rate of g(x) at x=c.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
do just plug in 1 and 3 and do the rate of change and then plug in x and c and do the same?
myininaya
  • myininaya
so do this \[g'(c)=\frac{g(3)-g(1)}{3-1}\]
anonymous
  • anonymous
ok i get 10 doing that

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myininaya
  • myininaya
Have you plugged into the formula I gave you?
myininaya
  • myininaya
find g' then find g'(c) and set that equal to the slope of the secant line from x=3 to x=1
anonymous
  • anonymous
you're losing me lol
myininaya
  • myininaya
do you know hot to find g'?
anonymous
  • anonymous
4x + 2
anonymous
  • anonymous
and then plug in 1 and 3?
myininaya
  • myininaya
\[4c+2=\frac{g(3)-g(1)}{3-1}\]
anonymous
  • anonymous
ok so the answer is 2
anonymous
  • anonymous
thanks
myininaya
  • myininaya
\[4c+2=\frac{2(3)^2+2(3)+1-[2(1)^2+2(1)+1]}{2}\]
anonymous
  • anonymous
ok i have another similar prob that i need help with... ill post it on the main thing

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