A) show inai yii) is the solution to the differential equation by substituting ye and y'(t) into the differential equation y'(t) -f(t, y(t)) b) use theorem 9.1 to find a lipschitz constant l for the rectangle r-[(t, y): 0s 33,0 sy s).

anyone? find the second, fifth, and ninth terms of a sequence where the first term is 65 and the common difference is -7. 72, 93, 121 72, 79, 86 58, 37, 9 58, 51, 44

Name each raycalculation tip: in ray "ab", a is the endpoint of the ray.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?