Let f(x) be the function 8x^2-5x+2 . Then the quotient [f(5+h)-(5)]/h
can be simplified to ah+b for:
a=
b=
3 answers
Now I just did one like this for you. You try.
i tried like 7 times stil getting it wrong.
f(5+h) = 8 (5+h)^2 -5(5+h) + 2
= 8(25 + 10 h +h^2) -25 -5h +2
= 200 + 80 h + 8 h^2 -23 -5h
= 8 h^2 + 75 h + 177
f(5) = 8(25) - 25 + 2 = 175+2
=177
difference = 8 h^2 + 75 h
divide by h
8 h + 75 answer
===================
check with calculus
df/dx = 16 x - 5
at x = 5
16*5 - 5 = 75 sure enough limit when h--> 0 :)
= 8(25 + 10 h +h^2) -25 -5h +2
= 200 + 80 h + 8 h^2 -23 -5h
= 8 h^2 + 75 h + 177
f(5) = 8(25) - 25 + 2 = 175+2
=177
difference = 8 h^2 + 75 h
divide by h
8 h + 75 answer
===================
check with calculus
df/dx = 16 x - 5
at x = 5
16*5 - 5 = 75 sure enough limit when h--> 0 :)
2 answers