7. Let u = u(x, y) and let x = r cos and y = r sin 0. (a) Express u and uy in terms of u, and up. 1 (b) Show that || Vu||² = u² + √zª³, (c) Let u(r, 0) = r² cos² 0. Use part (b) to compute ||Vu||2. Then compute ||Vu||² directly by observing that u(x, y) = x².

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