The curve implicitly define by (y + 1)(x + 1) = 2 with x [0,...

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The curve implicitly define by (y² + 1)(x + 1) = 2 with x € [0, 1] is shown below. (a) Find an expression for (0,1) (0,-1) (1.0) dy dx for any point (x, y) on the curve (with y # 0) in terms of x and y. (b) Calculate the area A bounded by the curve and the y axis. (c) Calculate the volume V of the solid generated by rotating the upper half of the curve about the x -axis. The curve implicitly define by (y² + 1)(x + 1) = 2 with x € [0, 1] is shown below. (a) Find an expression for (0,1) (0,-1) (1.0) dy dx for any point (x, y) on the curve (with y # 0) in terms of x and y. (b) Calculate the area A bounded by the curve and the y axis. (c) Calculate the volume V of the solid generated by rotating the upper half of the curve about the x -axis.