Asked by Kelley
A function is given. Determine the average rate of change of the function between the given values of the variable.
f(t) =
6/t
; t = a, t = a + h
f(t) =
6/t
; t = a, t = a + h
Answers
Answered by
MathMate
f(t)=6/t
t1=a, t2=a+h
average rate of change
= Δf(t)/Δt
=(f(a+h)-f(a))/(a+h-a)
=(6/(a+h)-6/a))/(h)
=(6/h)(1/(a+h)-1/a)
...
simplify to get final answer.
t1=a, t2=a+h
average rate of change
= Δf(t)/Δt
=(f(a+h)-f(a))/(a+h-a)
=(6/(a+h)-6/a))/(h)
=(6/h)(1/(a+h)-1/a)
...
simplify to get final answer.