Determine whether rolle's theorem can be applied to the function on the given interval; if so, find the value(s) of c guaranteed by the theorem. (enter your answers as a comma-separated list. if rolle's theorem does not apply, enter dne.) f(x) = x (5 − x) on [0, 5]

Suppose there is a simple index of three stocks, stock abc, stock xyz, and stock qrs. stock abc opens on day 1 with 4000 shares at $3.15 per share. stock xyz opens on day 1 with 5000 shares at $4.30 per share. stock qrs opens on day 1 with 6000 shares at $4.60 per share. the price of stock abc on day 8 begins at $3.50. the price of stock xyz on day 8 begins at $3.90. stock qrs opens on day 8 with a price of $4.50 per share. assume that each stock has the same number of shares that it opened with on day 1. what is the rate of change of this simple index over 1 week?

Which of these triangle pairs can be mapped to each other using two reflections?

Ab based on the given diagram, if m_1 = 60° then m 2 = 30 60 90 180