(a) conmpute the wronskian of the fanctions u and use it to explain why these two cannot be a pair of solutions on the entire real line of an equation egation y" +pny' +qny = o (hint: think about abel's theoen) (b) assune that gi and ge are solutions of the equation y" +pit)g+ y- 0 showtht ciyi+ca is a solution of the eqation fo any values of the constants ci. c

Given f(t) = 282 - 53 +1, determine the function value f(2). do not include f(z) = in your answer

1mile equals approximately 1.6 kilometers. which best approximates the number of miles in 6 kilometers?

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.