Answer:
Here we just want to find the Taylor series for f(x) = ln(x), centered at the value of a (which we do not know).
Remember that the general Taylor expansion is:
for our function we have:
f'(x) = 1/x
f''(x) = -1/x^2
f'''(x) = (1/2)*(1/x^3)
this is enough, now just let's write the series:
This is the Taylor series to 3rd degree, you just need to change the value of a for the required value.
Answer:
the letter in the green box should be 3.
i believe the full equation should be y= -3/2 x+1
Step-by-step explanation:
the y side keeps decreasing by 1 1/2 which in improper fraction form is -3/2. the x side keeps increasing by 1.
Answer:
(0,9.8) and (10,1.2)
Step-by-step explanation:
it makes the best line
Answer:
C
Step-by-step explanation:
The graph in this case represents exponential decline.
Answer:
f(u) = 9/5
Step-by-step explanation:
u - 5 = -4(u - 1) Distribute on the right side
u - 5 = -4u + 4
+4u +4u Add 4u to both sides
5u - 5 = 4
+ 5 + 5 Add 5 to both sides
5u = 9 Divide both sides by 5
u = 9/5
