Find the directional derivative of f (x, y) = -3 yx³ + xy² set by the line r(t)=(-2+ 2t,√5t). at the point P(-2,0) in the forward direction

Q: If f (x, y) = 2x² – 2y², find the value of the directional derivative at the point (-2,-4) in the…

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Q: Find f, (2,0) if f(x,y) = 18x e Y. 1,(2.0) = %3D

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Q: Let f(x, y) = = 160 - 2x² - 4y² For which value(s) of y is f(-3, y) = 7? y =

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Q: Differentiate the function. r(t) = (3²- + 8)i + r'(t) = (6t)i + ( 132 r'(t) = i + (6t)j r'(t) =…

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Q: If f(t) = t^2 - 5t + 4 represents the rectilinear motion of a particle, the particle changes…

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Q: f(x) = xª -4 and Perpendicular to the line x - 4y + 1= 0.

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Q: Find f, (x.y) if f(x.y)=x - 5xy- 4y2.

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Q: why is that line segment used for f', couldn't the other line y=3x+1 be used?

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Q: The slope of the curve 2y = ax + b at (1,-1)is -1.Find a, b.

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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: From the point (2,2), find the directions in which the directional derivative of f(x,y)=x2 +xy3…

A: Given f(x, y)=x2+xy3 we have to find the directions in which the directional derivative of function…

Q: Use implicit differentiation to find at the point (-2, 3) on the curve dx x³ + y³ = 19.

A: Given the curve  x3+y3=19. We have to find d2ydx2 at the point (-2, 3) using implicit…