Let p be a real root of the equation f(x) = 0 (/(p) = 0) and assume that f'(x) is continuous and nonzero in a neighborhood of p. suppose that when the equation f(x)= 0 is changed to f(x) = 6 for sufficiently small o, and the root changes fromp to a unique p, i. e., p satisfies f(p) = 6. determine a the absolute condition number p l lim s-+0 к— under what condition(s) will k be large? give an example that k is large.

Adam plans to choose a video game from the section of the store where everything is 75% off. he writes the expression d-0.75d to find the sale price of the game if the original price is d dollars. gena correctly writes another expression, 0.25d, that will also find the sale price of the game if the original price is d dollars. use the drop down menus to explain each part of adams and rena's expression

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Solve the equation x/4 - 5= -8 -27 -12 -7 12