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Proof Let S be a smooth oriented surface with normal
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Calculus: Early Transcendental Functions
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- −Y+z5 Let F (x, y, z) := x+yz7 3+2⁹ let ʼn be the outward unit normal vector. Evaluate ſf (curl F) · ndS. (Use syntax like 2*pi/3 .) Let S be the upper half of the sphere of radius 2 centered at the origin. At each point of Sarrow_forwardConsider the contour map of the function ?(?, ?) = ?^ 4 + ?^ 4 − 4?? + 1 a) Find the unit vector in the direction of greatest increase for ? at the point (1, -1). b) Looking ONLY at the contour map, can you infer that there exists a minimum on the function f? Explain your reasoning or explain why no conclusion can be made. c) Looking ONLY at the contour map, can you infer that there exists a maximum on the function f? Explain your reasoning or explain why no conclusion can be made.arrow_forwardAnswer the question in the picture.arrow_forward
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