Answer:
This contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3
Step-by-step explanation:
The given function is
When we differentiate this function with respect to x, we get;
We want to find all values of c in (1,7) such that f(7) − f(1) = f '(c)(7 − 1)
This implies that;
![c-3=\sqrt[3]{63.15789}](https://tex.z-dn.net/?f=c-3%3D%5Csqrt%5B3%5D%7B63.15789%7D)
![c=3+\sqrt[3]{63.15789}](https://tex.z-dn.net/?f=c%3D3%2B%5Csqrt%5B3%5D%7B63.15789%7D)
If this function satisfies the Mean Value Theorem, then f must be continuous on [1,7] and differentiable on (1,7).
But f is not continuous at x=3, hence this hypothesis of the Mean Value Theorem is contradicted.
29 miles
because town y is between town x and town z so you can take the distance between town x and town z and subtract the distance from town y to town z
Answer:
Option B) The height, in inches, of a typical apple tree
Step-by-step explanation:
Let
x----> the number of years, after the tree was planted
y ---> the height in inches, of a typical golden delicious apple tree
we have
Remember that
The y-intercept is the value of y when the value of x is equal to zero
In this problem
The y-intercept is the height of the tree when it was planted (x=0)
Answer:
Step-by-step explanation:
let workers=n
time=t(weeks)
t=k/n ,where k is constant .
when t=8,n=3
8=k/3
k=24
t=24/n
n 2 4 6 12
t 12 6 4 2
The angles are complementary.
