Answer Happy

1) Elliptic Sinusoids are considered to be good approximations to the shapes of lake beds. 2 2 Suppose the boundary of a lake bed is given by the ellipse (3) * + ()* = 1. If the maximum = depth of the water is given by dm, then an elliptical sinusoidal approximation for the shape of the lake bed is given by π 2 2 f(x,y) = -dm cos cos(110+ (5)* + C)* 2 2 2 For D: *)* + (3) ? < 1. Use the global change of variables x = au, y = bv to calculate the volume of the lake V= = )| If(x,y) dĀ. D Write a sentence to describe the usefulness of this result. And, calculate the average depth of the lake.