Answer:
(a)
The function f is continuous at [1,e] and differentiable at (1,e), therefore
the mean value theorem applies to the function.
(b)
= 1.71828
Step-by-step explanation:
(a)
The function f is continuous at [1,e] and differentiable at (1,e), therefore
the mean value theorem applies to the function.
(b)
You are looking for a point
such that

You have to solve for
and get that
= 1.71828
Answer:
x = 73.4°
Step-by-step explanation:
sin x° = 23/24
sin x° = 0.9583
x = 73.4°
This is currently your equation since you do not know "b"
y = 2/3x + b
To find "b" you plug in the point (4,2) into the equation.
y = 2/3x + b
2 = 2/3(4) + b
2 = 8/3 + b (subtract 8/3 on both sides to get "b" by itself)
2 - 8/3 = b (make the denominators the same)
6/3 - 8/3 = b
-2/3 = b
So: y= 2/3x - 2/3
-3+2x = -6 (negative and negative changes to positive (+))
2x = -6+3
2x = -3
x = -3/2