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

Kevin and randy muise have a jar containing 78 coins, all of which are either quarters or nickels. the total value of the coins in the jar is $13.90. how many of each type of coin do they have?

If kn = 9 cm, mn = 21 cm, rs = 42 cm, and ps = 18 cm, what is the scale factor of figure klmn to figure pqrs?

Suppose you are going to graph the data in the table. minutes temperature (°c) 0 -2 1 1 2 3 3 4 4 5 5 -4 6 2 7 -3 what data should be represented on each axis, and what should the axis increments be? x-axis: minutes in increments of 1; y-axis: temperature in increments of 5 x-axis: temperature in increments of 5; y-axis: minutes in increments of 1 x-axis: minutes in increments of 1; y-axis: temperature in increments of 1 x-axis: temperature in increments of 1; y-axis: minutes in increments of 5