APPM 2350 Midterm: appm2350fall2016exam3_0
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Instructions: books, notes, crib sheets, and electronic devices are not permitted. Write your (1) name, (2) instructor"s name, (3) recitation number. The library is lled with really old books that give o lots of dust particles when people read them. The density of dust the x-axis, the line y = x, and the arcs r = 1 and r = 2. The roof of the library has height z = p4 x2 particles in the air (particles per unit volume) is given by = p4 x2. Y2. (a) calculate the area of the oor. (use calculus iii techniques if you want full credit! However, feel free to check your answer with geometry. ) (b) calculate the volume enclosed by the library. (c) calculate the number of dust particles in the library: (25 points) consider the integral. Find x and y in terms of u and v using the given substitution.
