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Mathematics, 07.11.2019 00:31 isaaccott013

Consider the mountain known as mount wolf, whose surface can be described by the parametrization r(u, v) = u, v, 7565 − 0.02u2 − 0.03v2 with u2 + v2 ≤ 10,000, where distance is measured in meters. the air pressure p(x, y, z) in the neighborhood of mount wolf is given by p(x, y, z) = 35e(−7x2 + 4y2 + 2z). then the composition q(u, v) = (p ∘ r)(u, v) gives the pressure on the surface of the mountain in terms of the u and v cartesian coordinates. (a) use the chain rule to compute the derivatives. (round your answers to two decimal places.)

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