Evaluate the directional derivative Duf (3, 4) if ƒ (x,y) = /æ² + y² and u is the unit V vector in the same direction as (1, -1).

Q: Express the vector == 7= Z+ y. -22] 10 as a linear combination of = -(-3) and y=

A: Consider the vector v→=-2210. To express it as linear combination of vectors x→=-4-5 and y→=1-5.…

Q: 1. f(x, y) = 1+ 2x/y, (3,4), v= 4î – 3ĵ |

A: According to our company policy we can answer only first question and rest can be reposted. Thanks

Q: Find the new equation of the line y=x after applying the translation by the vector (2, -1)

A: New line will be shifted to 2 units right and 1 unit down.   Point on x axis (2,0) Point on y axis…

Q: Verify the Sum and Product Rules for derivatives of vector-valued functions.

A: To Determine: Verify the Sum and Product Rules for derivatives of vector-valued functions. Given:…

Q: f(x, y, z) = sin(ry + z) foksiyonunun| P(1, 7/4, 7/2) noktasinda v = -2i + j+ 2k

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Q: Consider the function defined by f(x,y) = 4xy - 2x2. Evaluate the directional derivative of f at…

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Q: h(x, y, z) u = i + 2j + 2k cos xy + e + In zx, Po(1, 0, 1/2),

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Q: Find the directional derivative of f(x, y) = /xy at the point P = (2,8) in the direction of the…

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Q: Subtracting the two equations, find a vector equation for the curve of intersection between y=…

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Q: Suppose that f(x, y) = x³y². Find the directional derivative of f(x, y) in the direction of (-3, 1)…

A: Given that the vector fieldfx,y=x3y2 The directional vector u→=-3,1The point  -2,2    .