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

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