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:
Domain = 1 to 7
Range = 4 to 28
Step-by-step explanation:
Given that:
Number of wheels used is a function of number of cars manufactured.
Number of wheels present = 28
1 car uses 4 wheels
2 cars use 8 wheels.
3 car uses 12 wheels
and so on.
Let the function be of the form:
Domain of the function is the value of that can be given as valid input to the function.
Range of the function is the value of that can be output of the function.
Let be the number of cars manufactured.
Then value of is nothing but
times 4.
We are given that maximum value of can be 28.
Therefore, maximum value of input can be 7.
Minimum number of wheels can be 4 to make a minimum of 1 car.
Therefore domain is 4 to 28 and range is 1 to 7.