Answer:
X should equal 65, sorry if I’m wrong
Step-by-step explanation:
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)
Answer:
The radius is 4.5, while the area is equaled to 63.585
Step-by-step explanation:
Formula of circumference: radius times 2 times pie (3.14)
Formula of Area of Circle: radius squared times pie (3.14)
Divide 28.26 by 2 and by pie (3.14) to get the radius. You should get 4.5.
Square 4.5 (the radius), which should equal to 20.25. Then, multiply it by pie (3.14), which is equaled to 63.585. This is the area of the circle.
