The force exerted by an electric charge at the origin on a charged particle at the point (2, y, z) with KT position vector = (x, y, z) is F(F) = where K is constant. Assume K = 20. Find the work done as the particle moves along a straight line from (2,0,0) to (2,3,5). Question Help: Video MMessage instructor D Post to forum Add Work

Find the maximum rate of change of f(x, y, z) = x+y/z at the point (1, -3, 5) and the direction in which it occurs. Maximum rate of change: Direction (unit vector) in which it occurs:

Brazilian soccer star Marta has a penalty kick in the quarter-final match. She kicks the soccer ball from ground level with the (x, y)-coordinates (76, 21) on the soccer field shown in the figure and with initial velocity vo = 8i - 4j+23k ft/s. Assume an acceleration of 32 ft/s² due to gravity and that the goal net has a height of 8 ft and a total width of 24 ft. 105 ft 105 ft ri = rj = 165 ft rk = e 165 ft Determine the position function that gives the position of the ball t seconds after it is hit. (Use symbolic notation and fractions where needed.) r(t) = r(t)i + r(t)j +rk(t)k 12 12 X

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