Lyndsey's Geogebra Class
Problem 1
The graph below shows f(x) in blue and the derivative of f(x) in orange. Find the equation of the derivative of f(x) when
f(x) = .
What is the derivative of f(x) = ?
Problem 2
The problem below has been taken from the 1983 AHSME. Find the radius of the middle circle when a = 10 and b = 25.
Use the notebook below to draw or upload your solution to the problem. You can check your answer below.
What is the radius of the middle circle? (Round your answer to 4 decimal places)
Problem 3
Using the Law of Cosines solve for the length of the unknown side when left = 5, bottom = 6.2, and the blue angle is 115.
Law of Cosines:
(Unknown side) = (Bottom Side) + (Left Side) - 2(Bottom Side)(Left Side) cos(Blue angle)
What is the length of the unknown side? (Round your answer to 2 decimal places)
Problem 4
The below applet is a visual representation of Bayes' Theorem. Of the population, 6% are infected with a disease. There is a 97% chance that someone with the disease will test positive, while someone without the disease has a 2% chance of testing positive. Calculate the probability that a person is infected given that they tested positive for the disease.
What is the probability that a person is infected given that they tested positive for the disease? (Enter your answer as a percentage rounded to 2 decimal places)
Problem 5
The graph below shows the function f(x) in blue and the function's inverse in green. Find the inverse function of .
What is the inverse function of ?