Spaceman Spiff is flying his spacecraft near a neutron star. Assuming the star is located at (0, 0, O) Spiff is able to determine the temperature at a point (x, y, z) is given by T (x, y, z) = (5.0 x 106) e-3x2–3y2–322 Answer these questions to help Spiff out: Spiff is at the location (0,0,-100) and his ship is overheating! What is the absolute worst direction for him to fly in? Spiff's control panel malfunctions and leaves him barreling in a direction parallel to v = (2, -4,5) . Assuming Spiff is at the position (0,0,-100) at what rate will the temperature change as he travels in this direction? As always make sure you submit clear, complete, and detailed solutions to each questi

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Spaceman Spiff is flying his spacecraft near a neutron star. Assuming the star is located at (0, 0, O) Spiff is able to determine the temperature at a point (x, y, z) is given by T (x, y, z) = (5.0 x 106) e-3x2–3y2–322 Answer these questions to help Spiff out: Spiff is at the location (0,0,-100) and his ship is overheating! What is the absolute worst direction for him to fly in? Spiff's control panel malfunctions and leaves him barreling in a direction parallel to v = (2, -4,5) . Assuming Spiff is at the position (0,0,-100) at what rate will the temperature change as he travels in this direction? As always make sure you submit clear, complete, and detailed solutions to each question.

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