Type the correct answer in each box. In part E, you proved that any Pythagorean triple can be generated using the identity (x2 − y2)2 + (2xy)2 = (x2 + y2)2. Find the missing x- and y-values and Pythagorean triples using the identity given. Write the triple in parentheses, without spaces between the values, with a comma between values, and in order from least to greatest. x-value y-value Pythagorean Triple
4 3
5 (9,40,41)
3 (27,36,45)
7 5

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.