Consider the fixed point iteration xk+1 = g(xk), k = 0, and let all the assumptions of the fixed point theorem hold. use a taylor’s series expansion to show that the order of convergence depends on how many of the derivatives of g vanish at x = x∗. use your result to state how fast (at least) a fixed point iteration is expected to converge if g′(x∗) = ··· = g(r)(x∗) = 0, where the integer r ≥ 1 is given.

Barbara has a good credit history and is able to purchase a car with a low-interest car loan. she co-signs a car loan for her friend jen, who has poor credit history. then, jen defaults on the loan. who will be held legally responsible by the finance company and why? select the best answer from the choices provided. a. barbara will be held legally responsible because she has a good credit history. b. jen will be held legally responsible because she drives the car. c. barbara will be held legally responsible because she is the co-signer. d. jen will be held legally responsible because she has a poor credit history. the answer is a

Answer asap evaluate 4-0.25g+0.5h4−0.25g+0.5h when g=10g=10 and h=5h=5.

Abaseball team drinks 10/4 gallons of water during a game. which mixed number represents the gallons of water consumed? a) 1 1/2 gallons b) 2 1/2 gallons c) 2 3/4 gallons d) 3 1/2 gallons