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:
evvvvvvvvv
Step-by-step explanation:
errrrrrrrrrrrrrrv
The odds of getting a red first is 5/12. the odds of getting a green second is 7/11. the probability of both is then 5/12 * 7/11, or 35/132
The mean of the number set is the average of the numbers
To find the average of the number set the numbers are to be added together and divided by the total amount of numbers in the set
Diameter = 6 6/2 = 3
Radius = 3 3 to the power of 2 = 9
A = (3.14)(9) = 28.26
