Which of the following is an accurate conclusion that can be made using the existence and uniqueness theorem for first-order nonlinear equations for this initial value problem? A) The initial value problem has a unique solution because f (x, y) is continuous on a rectangle containing the point (2, 8) on its boundary. B) The initial value problem is not guaranteed to have a unique solution because f_x (x, y) is not continuous when x = -1. C) The initial value problem has a unique solution because both f (x, y) and f_y (x, y) are continuous on a rectangle containing the point (2, 8). D) The initial value problem is not guaranteed to have a unique local solution because there is no rectangle surrounding the point (2, 8) on which both f (x, y) and f_y(x, y) are continuous.

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The Answer of Which of the following is an accurate conclusion that can be made using the existence and uniqueness theorem for first-order nonlinear equations for this initial value problem? A) The initial value problem has a unique solution because f (x, y) is continuous on a rectangle containing the point (2, 8) on its boundary. B) The initial value problem is not guaranteed to have a unique solution because f_x (x, y) is not continuous when x = -1. C) The initial value problem has a unique solution because both f (x, y) and f_y (x, y) are continuous on a rectangle containing the point (2, 8). D) The initial value problem is not guaranteed to have a unique local solution because there is no rectangle surrounding the point (2, 8) on which both f (x, y) and f_y(x, y) are continuous.

Which of the Following Is an Accurate Conclusion That Can