Question: how would you go about solving this? Below is a contour diagram for the inverted parabolic trough = (, ) = 4 ^2 for x

how would you go about solving this? Below is a contour diagram for the inverted parabolic trough = (, ) = 4 ^2 for x 0. The contour lines are spaced at intervals of z = . (a) (3 marks) A bug begins at the origin (0, 0, 0) and walks up the trough always ascending the hill at slope 1. Use the information provided by the contour diagram to make a sketch of the projection of the bug's path on the x-y plane. Your path does not have to be excessively accurate to get full marks, but it must be a reasonable approximation

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