Answer:
f(4)
Step-by-step explanation:
replace the x in f(x) with 4
Answer:
-3.50
-0.5184
Step-by-step explanation:
The product :
. A.)
- 2. 5 * 1.4
-2.5
*1. 4
____
100
25
____
-3.50
____
B.)
-0.64
*0.81
______
___064
__512
_000
________
-0.5184
_______
F(x) = x^(1/3)
f(8000) = 8000^(1/3) = 20
f'(x) = 1/3 * x^(-2/3)
f'(x) = 1/(3x^(2/3))
f'(8000) = 1/(3*8000^(2/3)) = 1/(3*400) = 1/1200
Linear approximation for f(x) about x = 8000
L(x) = f(8000) + f'(8000) (x−8000)
L(x) = 20 + 1/1200 (x−8000)
8030^(1/3) ≈ L(8030)
= 20 + 1/1200 (8030−8000)
= 20 + 30/1200
= 20 + 1/40
= 20.025
