4.How many integers between -2002 and +2002 are divisible by 3 or 4 butnot by 5?5.A freight train four hundred meters long goes through a tunnel that is twokilometres long. If the train is travelling at a speed of 10 m/s, how longdoes it take the train to pass through the tunnel?DIFFICULT ROUND (5 QUESTIONS, 5 PTS EACH)1.Find the partial derivatives with respect to x of the function:xy2– 5y + 62.Resolve the 600-lb horizontal force shown in the figure into componentsacting along the u and v axes and determine the magnitudes of thesecomponents.3.Determine the area of a parallelogram if three of its corner points are locatedat (-4,1,0); (3,2,-1); (2,0,3).4.A box contains 8 white balls, 15 green balls, 6 black balls, 8 red balls, and 13yellow balls. How many balls must be drawn to ensure that there will be threeballs of the same color?5.The letters of the alphabet have been assigned numerical values so that A xC = B, B x D = C, C x E = D, … , X x Z = Y. If A + B = 2002 and B is notequal to 0, what is the value of Y + Z ?
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