QI. The viscosity of a fluid is given by the following function of three variables メ」。 V(x,y z) e Determine the directional derivative at the point P(O,!,-1) in the In what of V odirection of -2i+2;-k. direction is the viscosity of the fluid at PLO, !,-1) increesing most rapid ly.

Q: f(x,y,z) be a differentiable function the point P(2,5,-1). Let at Which of the following is the…

A: Answer is mentioned below

Q: If z = In(x² – 2y), and x=u+v, y= e" , find and du If w=2xy'z', and y =x² +1, z= Vx, find dx

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Q: A person's Body Mass Index is I = 172, where W is the body weight (in kilograms) and H is the body…

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Q: Find the equation of the tangent line to y = arctan(2x) when x = V3 O y - = ( - ) 1 3 O y - = }(2 -…

A: Let's find.

Q: For each problem, calculate the directional derivative in the given direction and the gradient…

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Q: Consider a differentiable function p(x,y) with the properties below. Use these properties to answer…

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Q: Find equations of the tangent plane and normal line to the surface x = 5y² + 5z² — 28 at the point…

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Q: 3. g(x, y) = cos-1 xy, (1,0), v = î + 5ĵ

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Q: The derivative of f(x,y)=9xY at (e,1) in the direction of v=(4,3) is !!

A: TO FIND THE DERIVATIVE i.e DIRECTIONAL DERIVATIVE IN DIRECTION OF V= (4,3) at (e,1) STEPS 1. FIRST…

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. a)…

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Q: tan(=2 ») =x+y. 5. tan Determine y'.

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Q: The temperature on a cubic box [0, 4] × [0, 4] × [0, 4] (measured in meters) can be described by the…

A: Function, Tx, y, z=x2y+y2z

Q: In(x) 1. Let f(x, y) sin(y) (a) Find Vf(x, y). +5ay Sincy) Sincy) *sincy) Vf(x x)= <wainty Inca)…

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Q: Use directional derivative definition to find derivative of f(x, y) = x² + y? at the direction of u…

A: We have to use divergence.

Q: u = cos 0 i + sin 0 j cuando (a) 0 = 00 y

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