(b) Restricted Function: Let g be a bounded function on [0, 1] and assume that its restriction to the interval [1/n, 1] is Riemann integrable for every n > 2. You are to show that g is Riemann integrable on the entire interval [0, 1]. Hint: You're given to let € > 0 and M > 0 be constants such that g(x)| ≤M for all a in [0, 1]. Choose n > 2 such that <3 and note that the supremum and infimum of g on [0, 1/n] differ by less than 2. You are to show that g is Riemann integrable on [1/n, 1] and find an appropriate partition of [0, 1]. (c) Continuous Function: Leth be a continuous function on [0, 1] and let g be the function defined by: g(x) = Hint: Use the result from (b). for x = 0 h(x) for 0

Let A = [1,2,3,4; 0,0,1,-1; 2,0,0,-3;1,2,2,5] Determine the rank of A.

A biologist is examining two genetic mutations. Genetic mutation A occurs in 15% of the population, mutation B occurs in 4% of the population, and 1% of the population have mutation B and do not have mutation A. a) Is having mutation A independent of having mutation B? Explain/show the reasoning for your answer. b) Is not having mutation A independent of having mutation B? Explain/show the reasoning for your work.

what is c? count?