Let a be a real number and f(r, y) = 4ar?²y+ 8zy. Let v = 3i – j and let Vf(z, y) denote the gradient of f(z, y). i) Find Vf(1, 1) in terms of a. -125 i) If the rate of change of f(r, y) at the point (1, 1) in the direction of v is V2 find a. O i) (8a + 8) i + (4a + 24) j, ii) -3 O ) (8a + 8) i + (4a + 24) j, i) -9 O ) (8a 8) i + (4a + 24) j, i) 9 + 8) i + (4a + 24) j, i) O O ) (4a + 8) i + (-8a - 24) j, i) -3 O ) (4a + 8) i + (-8a - 24) j, i) -9 + 8) i + (-8a + 24) j, ii) 9 O ) (8a O ) (4a O ) (4a + 8) i + (-8a - 24) j, i) O

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