Quiz 6_MAT 2030_11SS

Quiz 6_MAT 2030_11SS - f ( x, y ) = 1 + 2 x y at the point...

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Name : MAT 2030, Calculus III, Quiz 6 No calculators needed or allowed! Questions : (1) Show that any function of the form z = f ( x + at ) + g ( x - at ) is a solution of the wave equation 2 z ∂t 2 = a 2 2 z ∂x 2 . [4 pts] (2) Find the directional derivative of the function
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Unformatted text preview: f ( x, y ) = 1 + 2 x y at the point (3 , 4) in the direction of the vector v = h 4 ,-3 i . [6 pts] Answers : 1...
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