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Unformatted text preview: 1 MATH 141B Quiz#5 Due: Fri Feb 15, 2008 Instructor: Dr. Fabbri [ 2 ] 1. A suitable model for the bacteria bacillus subtilis is a cylinder with radius r and height h. Then the volume, V ( h, r ) , of such a cylinder is a function of two variables. Which of the following statements are true? i) The graph of V is a cylinder. ii) The level curves of constant values of r are circles. iii) The level curves of constant values of h are parabolas. A) ii) only, B) i) and ii) only, C) i) and iii) only, D) iii) only, E) none true [ 2 ] 2. If g ( u, v ) = sin( uv )- e 3 v then find ∂g ∂v ( π, 0) . A) 0, B)- π- 3 , C) π- 3 , D)- π + 3 , E) none listed [ 2 ] 3. A small lake is stocked with trout and bluegill. If x denotes the number of trout and y the number of bluegill, then the weights of the fish at the end of the year depend on the population densities (due to competition for food resources). The weights of a single trout and bluegill are given by w t = 4- . 003 x- . 002 y and w b = 3- .....
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