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Find a Unit Vector in the Direction of Which the Function

Question 74

Multiple Choice

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, $\pi$ ) .

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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