Consider the following equation. f(x, y) = sin(4x + 3y), P(−6, 8), u = 1 2 3 i − j (a) Find the gradient of f. ∇f(x, y) = (b) Ev aluate the gradient at the point P. ∇f(−6, 8) = (c) Find the rate of change of f at P in the direction of the vector u. Duf(−6, 8) =
1 answer:
Answer:
Step-by-step explanation:
a) Find the gradient
Hence
b) At point (-6, 8) just replace the values in gradient to find it out. You can do it.
c) directional derivative in the direction u.
I stuck with your 1 2 3 i -j . What does 1 2 3 mean? is it not 123 or 1 2/3 or else?
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k = 5
since x = 2 is a root then f(2) = 0
substitute x = 2 into the equation
4k - 28 + 8 = 0
4k - 20 = 0 ( add 20 to both sides )
4k = 20 ( divide both sides by 4 )
k = 5
Answer:
Step-by-step explanation:
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