8208 total tickets / 12 concerts =
684 tickets per concert.
The correct answer is b lave flows from a volcano and piles up
Yes, both of your answers are correct.
Since Death Valley is below sea level, the hiker increases altitude before stopping at 0 feet.
Percent of increase is given by the formula (amount of change)/(original amount) * 100. Your work is accurate.
Since the area of a square is side squared, you can find the length of each side by finding the square root of the area, which is 5. Since there are four sides in a circle, just multiple 5 by 4 and your answer is 20 units.
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)
