The cost per guest of catering an event of no more than 100 people is modeled by the function, f(x) = 20 + 5x ,The number of guests is modeled by the function g(x) = 100 - x , where x represents the number of guests fewer than 100 that attend. Evaluate (f x g) (18)
and interpret what it means in the context of the problem
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Find a parametrization for the curve「and determine the work done on a particle moving along γ in r3 through the force field f: r^3--r^3'where f(x,y,z) = (1,-x,z) and (a) im (γ) is the line segment from (0,0,0) to (1,2,1) (b) im (γ) is the polygonal curve with successive vertices (1,0,0), (0,1,1), and (2,2,2) (c) im (γ) is the unit circle in the plane z = 1 with center (0,0,1) beginning and ending at (1,0,1), and starting towards (0,1,1)