MATH-1C,F12,Test1(sol) - JIATH-1C Test 1(Sec 10.1-10.4 Name...

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a)Find an equation of the tangent line to the trajectory of the object at the location of the V —3 /bck 1_77/z 1 object at t = 3- 3 A/ix vA -0 1 sec. JIATH-1C Test 1 (Sec. 10.1-10.4) Name: 46U-A/C16 )irections: Show all work where it is required. Total: 100 points 1. [ 20 pts.] Parametric equations for the position of an object are x = cos(t), y = sin(3t), 0 < t < 21r. Here x and y are measured in feet, time t in seconds. a) Sketch the trajectory of the object. Indicate by arrows the direction of the motion of the object. ) J.NiLe
b) Locate on the trajectory position of the object at t = Jr Q ck 04- CAd f 4) 'ref 3ir6 g,(3,40 A-, c)Find the components vx, v of the velocity of the object nd its speed at t = sec. u- 0
sec.
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