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Find a Unit Vector in the Direction of Which the Function

Question 34

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Find a unit vector in the direction of which the function f(x, y) = 6  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  sin  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  (a) increases most rapidly, and (b) decreases most rapidly at the point (2, π\pi ) .


A) (a)  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  (3  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  i - j) (b)  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  (-3  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  i + j)
B) (a)  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  (3  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  i + j) (b) -  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  (3  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  i + j)
C) (a) -  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  (3  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  i + j) (b)  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  (3  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  i + j)
D) (a)  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  (-3  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  i + j) (b)  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  (3  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  i - j)
E) (a)  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  (3  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  i - j) (b)  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  (-3  Find a unit vector in the direction of which the function f(x, y)  = 6   sin   (a)  increases most rapidly, and (b)  decreases most rapidly at the point (2,   \pi ) . A)  (a)    (3   i - j)  (b)    (-3   i + j)  B)  (a)    (3   i + j)  (b)  -   (3   i + j)  C)  (a)  -   (3   i + j)  (b)    (3   i + j)  D)  (a)    (-3   i + j)  (b)    (3   i - j)  E)  (a)    (3   i - j)  (b)    (-3   i + j)  i + j)

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