klorane klorane
  • 01-02-2017
  • Mathematics
contestada

I need to know instantaneous rate of change at t=2

I need to know instantaneous rate of change at t2 class=

Respuesta :

LammettHash
LammettHash LammettHash
  • 01-02-2017
[tex]g(t)=4-t^2[/tex]

[tex]\displaystyle g'(2)=\lim_{t\to2}\frac{g(t)-g(2)}{t-2}[/tex]
[tex]\displaystyle g'(2)=\lim_{t\to2}\frac{4-t^2-0}{t-2}[/tex]
[tex]\displaystyle g'(2)=-\lim_{t\to2}\frac{(2-t)(2+t)}{2-t}[/tex]
[tex]\displaystyle g'(2)=-\lim_{t\to2}(2+t)[/tex]
[tex]\displaystyle g'(2)=-4[/tex]
Answer Link

Otras preguntas

Would you have supported the Declaration of independence? Why or why not?​
HELP!!!! I NEED IT ASAP!!!!
Simplify the expression
the client with a diagnosis of heart failure reports frequently awakening during the night with the need to urinate. what explanation will the nurse offer to ex
What is the maximum number of NTP Servers that an NTP client can be synchronized with? A. 2 B. Unlimited C. 1 D. 4
why is foreign employment promotion board established​
Select the answer with the correct number of significant figures for each calculation. 31.580 + 4.26 = 35.8 35.84 35.840
1. Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)} (F + G) (2) = a. 4 b. 5 c. 9 2. Given: F = {(0, 1), (2, 4), (4,
Calculate the density of a piece of wood with a mass of 80g and a volume of 90cm³
In what ways are Christians called to discipleship?