Find the angle between the surfaces x² + y² + z² = 49 and z = x² + y² - 7 at the point (3,-2, 6):

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Part a as a fraction and part b in radians please

Find the angle between the surfaces x² + y² + z² = 49 and z = x² + y² - 7 at the point
(3,-2, 6):
Transcribed Image Text:Find the angle between the surfaces x² + y² + z² = 49 and z = x² + y² - 7 at the point (3,-2, 6):
Find the directional derivative of the scalar field þ= x¹y + 4xz at the point (2, -2, 4) along the
direction vector (2, -1, -2):
Transcribed Image Text:Find the directional derivative of the scalar field þ= x¹y + 4xz at the point (2, -2, 4) along the direction vector (2, -1, -2):
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