How many integers n are are such that (n + i)^4 is also an integer? I don't know how to solve this equation.

What kinds of numbers have an odd number of factors?

Iam so stuck. what is the worked out answer for this question?

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.