Suppose that m and n are integers. compute r 2π 0 cos(mx) cos(nx) dx. (be careful: there will be two different results, one when m = n and one when m 6= n.) (b) explain why the result you got for the m 6= n case is not valid when m = n. (c) suppose f(x) = a cos(x) + b cos(2x) + c cos(3x), and that you also know r 2π 0 f(x) cos(x) dx = 5 ; r 2π 0 f(x) cos(2x) dx = 6 ; r 2π 0 f(x) cos(3x) dx = 7 . find a and b and

Which representation has a constant of variation of -2.5

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.

Is the ordered pair (-10, 7) a solution to the equation y = 17 – x? yes or no