The directional derivative of f =x*yz + y*xz + z*xy in the direction of a = [2,-1,2] at the point p(1,-1,-1) is: %3D %3D A) 6 B) -8/3 F) -70/3 C) -14/3 G) -18 D) 8/3 H) 86/3 E) -6

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Q: Get the derivative of the function. Write the final answer in x+jy form 22-9 22 + 1 20z j20y…

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Q: 2 Suppose that A = 3xyz²7 + 2xy³j - x²yzk and p = 3x² - yz. Find, at the point (1,-1, 1), 2.1 Vo,…

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Q: Let f: R² → R be a differentiable function. (a) At the point (ro. Yo) = (1,5), it is known that the…

A: Given That : Equation of tangent plane to the surface z=fx , y is -2x+3y-z=17. To Find : a)…

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Q: 10. Find the derivative of y = V3x + 2. c) d) 3x a) 2V3x+2

A: Using derivatives

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A: To find: The directional derivative of the function f(x,y)=2xy-3y2 at point P=(5,5) in the direction…

Q: Let Ax,y) = 5x + 5xy – 6y. Give the coordinates of a point on the graph of f at the point (3,6). O…

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A: Given function is f(x, y, z) = -4x2 + 5xy + y2 + 3x + 3yz - z2 - 5xz

Q: 13. In y = what is the derivative of 2x2 +3? x+1 a) 2x b) 4x c) 4x +3 d) 7

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Q: Which of the following pair of functions is linearly independent? (a) e3*, e(x-3) (b) 4, sin?x +…

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Q: Calculate the directional derivative in the direction of v at the given point. fx, v)- tan Cy). -(1,…

A: The partial derivatives of f(x,y) at the point (x,y)=(5,2)are:

Q: Which of the following is a stationary point of the function f(x, y, z) = x² – 2y? + yz + 2ay – z…

A: Given f(x,y,z)=x2-2y2+yz+2xy-z

Q: Find the gradient of w= 3x² - 5y* + 2z at the point (1, 1, -2)

A: The given function is: w=3x2-5y2+2z2

Q: Find the linearization of the function f(p, q) = Pat (0,0) p-1 q+1

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Q: Determine the derivative of y = 24*. A. 24x+2 In 2 C. 34x+2 In 2 B. 63r+2 In 2 D. 44*+2 In 2

A: So in this we have to do simple derivative of given so I'm providing hand written solution for this

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A: Given: Line A passes through the points (4, −1, 0) and (1, 5, 2). Line B is parallel to line A. Line…

Q: Provide an appropriate response. 3) Find all points (x, y) on the graph of f(x) = 2x² −3x with…

A: As per our guidelines we can answer only 1 queestion so kindly repost the remaining questions…

Q: 3 Find the directional derivatives of p = 8xyz³ - 2x²y²z² at the point (2,-1,1) in the direction 21…

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