The equation of the tangent line at x=1 can be written in point-slope form as
... L(x) = f'(1)(x -1) +f(1)
The derivative is ...
... f'(x) = 4x^3 +4x
so the slope of the tangent line is f'(1) = 4+4 = 8.
The value of the function at x=1 is
... f(1) = 1^4 +2·1^2 = 3
So, your linearization is ...
... L(x) = 8(x -1) +3
or
... L(x) = 8x -5
Answer:
831.1 million
Step-by-step explanation:
If the exponential model describes the population after 2003 and we must determine the population of the country in 2003 then t=0 because the time only starts after 2003:
e to the power of 0 is equal to 1:
The population in 2003 is 831.1 million
Answer:
3.026 $
Step-by-step explanation:
3.4 × 0.89 = 3.026 $
1/5 because it’d be 2/10 , 2/10 simplified is 1/5
Answer:
7/18
Step-by-step explanation:
21 out of 54 = 21/54 = 7/18
