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2. Find the volume of the solid obtained by revolving the region bounded by y : lnm, y = 1, y = 2, a: =
2. Find the volume of the solid obtained by revolving the region bounded by y : lnm, y = 1, y = 2, a: = 0 around the yaxis (not the :taxis). H int: Since we're revolving around the yaxis, it is necessary to write the functions as :1: = f (y) and determine the bounds of the integral in terms of y. 3. The base of a solid 3 is a circle of radius r and the crosssections perpendicular to the base are squares. By determining the area of each crosssection and integrating those areas, determine the volume of S. 3. Consider the following three differential equations that model drug dissolution for patients given oral medications. (a) (b) The zeroorder kinetic equation states that the rate of change in the concentration d y of the drug (in mg/mL) during dissolution is given by dig: : k, Where k: is a positive constant. Is this equation puretime, autonomous, or nonautonomous? State in words what this equation says about drug dissolution and nd the solution with initial condition y(0) : 0. . . . d . . The NoyesWhitney equation 1s 71: : k(ys y), where k and gs are pos1t1ve constants. State in words What this equation says about drug dissolution and verify that y : ys (1 6"") is the solution With initial condition y(0) : O. . . . dy k . . The Weibull equation 1s E : 3(313 y), where k, gs, and b are pOSItive constants with b
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