(1 point) For what values of a in [0, 2x] does the graph of y = COS I have a horizontal tangent? List the smaller value of z first. 2 | sin IAn object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. lfthe rope makes an angle t with the plane, then the magnitude of the force lS W F = m where p: is a constant called the coefficient of friction. Let W = 50 ID and pi = .6. \\\\ (a) Find the rate of Change of F with respect to til (D) When is this rate of change equal to zero? Round your answer to the nearest hundredth.\" F'(t) = \\\\t = rad \\\\ (1 point) Let c = and y = 1 Find the vectors v = 2x, u = x + y, and w = 2x + y. OH 1 = = n W =\f(1 point) Find a and b such that b(1 point) Find the angle o in radians between the vectors and 0 =(1 point) Find the dot product of 09 I = -5 and y = 4 1 . y =(1 point) Find the angle o in radians between the vectors and 0 =\f(1 point} Perform the following operations on the vectors 1? = (2, 2, 3), ii = {2, 2,0}: and 11? = (0,4, 1). 113-11}: [ii-mfi: F31 '31 + :21 E\": || (1 point) Several unit vectors T, 8, t, u, n, and e in the xy-plane (not three-dimensional space) are shown in the figure. Using the geometric definition of the dot product, are the following dot products positive, negative, or zero? You may assume that angles that look the same are the same. 1. n . t 2 2. t . u 2 v 3. T . u 4. T . S (Click on graph to enlarge) 2 5. n . e 2 6. e . T 2 7.e . s ? v 8. 3 . t(1 point) Consider the two points (2, -5) and (5, 11). The distance between them is: The x co-ordinate of the midpoint of the line segment that joins them is: The y co-ordinate of the midpoint of the line segment that joins them is