26. An airplane has a ground velocity of 400 km/h, [N60W]. The plane is affected by a 90 km/h wind which is coming from the direction [N80YE]. Determine the magnitude and the direction of the airspeed vector. Please draw the original vectors on a grid and rearrange them properly. Please use the cosine law and the law of sines. Components are not permitted. [7 marks] 14. 15. 16. 18. 19. 20. x-2 x2-9 Determine the value of the following limit: lin' X 1 1 a) doesnotexist b) = ) - d) none of these State the second derivative of the function y = 5(27) a) 5(27*)in2 b) 5(27*)in4 c) 5(27*)(In2)? d) none of these Determine the slope of the tangentto y = 2cosx at x = g a) m=+3 by m= ? cm=/3 d) none of these 1 The critical point(s) for y = = occurat: a) x=0 b)) x=%2 c) bothaandb d) none of these The curve y = x* 3x* + 2 has an inflection point at the point: a) P(1,0) b) P(-1,-2) c) P(1,4) d) none of these e*+1 The interval where the curve y = is decreasing is: eX1 k= b) never ) (oo,0) d) none of these The lirI%Jr VxZ 4= X a) V8 b) -4 c) 0 d) does not exist