Answer:
It is constant from point C to point D.
Step-by-step explanation:
Answer:
Explanatory Variable
Step-by-step explanation:
The variable that we can change is called the Explanatory variable.
The response variable dependent upon the explanatory variable, as we change the value of the explanatory variable the value of the response variable is also gets changed.
The number of years smoking a cigarette is in our control so it is an explanatory variable.
and, the impact of the number of years smoking a cigarette is directly on lung capacity, so it is Response variable.
Answer:
Simplify the expression: 
Use the exponent power:
Apply the given rules;
Simplify:
then;
Therefore, the simplified expression of is, 
You can find your answer by just substituting -3 for x......
Answer:
(f⁻¹)'(b) = 1/f'(f⁻¹(b)) = 1/f'(a)
Step-by-step explanation:
The function f⁻¹(x) is the reflection of the function f(x) across the line y=x. Every point (a, b) that is on the graph of f(x) is reflected to be a point (b, a) on the graph of f⁻¹(x).
Any line with slope m reflected across the line y=x will have slope 1/m. (x and y are interchanged, so m=∆y/∆x becomes ∆x/∆y=1/m) Since f'(x) is the slope of the tangent line at (x, f(x)), 1/f'(x) will be the slope of the tangent line at (f(x), x).
Replacing x with f⁻¹(x) in the above relation, you get ...
... (f⁻¹)'(x) = 1/f'(f⁻¹(x)) will be the slope at (x, f⁻¹(x))
Putting your given values in this relation, you get
... (f⁻¹)'(b) = 1/f'(f⁻¹(b)) = 1/f'(a)
