Answer:
second one
Step-by-step explanation:
Answer:
f ( x ) does not satisfy the mean value theorem
Step-by-step explanation:
The given data :-
- f(x) = 3x - 4 cos ( 2x + 1 )
- f'(x) = 3 +8 sin ( 2x + 1 )
- The interval [ -1 , 2 ]
Solution :-
i) f(x) is continuous on [ -1 , 2 ]
ii) f(x) is derivable on ( -1 , 2 )
f ( -1 ) = 3 * (-1 ) - 4 cos [ 2 * ( -1 ) + 1 ] = - 3 + cos (-1 ) = - 3 - 4 * 0.9998 = - 6.992
f ( 2 ) = 3 * 2 - 4 cos ( 4 * 2 + 1 ) = 6 + 4 cos 9 = 6 - 3.9507 = - 3.04924
iii) f ( -1 ) ≠ f ( 2 )
f ( x ) is not real valued function so it does not satisfy the mean value theorem
D = 5
a = - 2
T6 = - 2 + 5(5)
= - 2 + 25
= 23
Answer:

Step-by-step explanation:
Linear equations will always be in the form
, where m is the slope and b is the y-intercept
Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.
Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x (
), so we can use the two points given to us to find both changes.
The y value goes from 1 to 17, which is a
change.
The x value goes from 2 to 6, which is a
change.
Now that we know both changes, we can divide the change in y by the change in x.

Now that we know the slope (4), we can plug it into our equation (
).

Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).
Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.

Hope this helped!