GRAD, DIV, CURL, V², DIRECTIONAL DERIVATIVE 36-45 Let f zy + yx, v = = Find 36. grad f and ƒ grad ƒ at (3, 4, 0) [y, z, 4z − x], w = [y², z², x²].

Q: Find the flow streamlines associated with the indicated complex function. f(z) = iz

A: Given: fz=iz. We have to find the flow streamlines associated with the given complex function.

Q: Find the tangent plane to the graph of f(x, y) = x² + y² + 4x - 2y +1 at the point (0,0,1).

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Q: Find the normal and osculating planes of the given function at the point r (t) = (4t 1, t² +t,…

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Q: Let f(x, y) = 5ex - Y. Find the equation for the tangent plane to the graph of f at the point (5,…

A: Given: fx, y=5ex-y. To Find: Equation of tangent plane to the graph of f at the point 5, 5.

Q: me please: Suppose X1, X2 ∼ Unif(0, 1) and are independent. Let

A: We have given that X1, X2 ∼ Unif(0, 1)

Q: Find the extrema of f(x,y) = xy + 2x2y. Classify the points as a max, min, or saddle  Thank you for…

A: Given:fx,y=xy+2x2y. We have to find the extrema and also classify the points as max, min, or saddle.

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: Consider the family of curves y I 1+ GI

A: We have y=x1+c1x Differentiate with respect to x: dydx=ddxx1+c1x⇒dydx=1+c1xdxdx-xd1+c1xdx1+c1x2…

Q: b.l find the derivative of fat Pornt Pindirection of a, f=xY+YZ+25; P(-3,97); a= -i+J+ 5k

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Q: y = sec ² t 2 y=1-₁² 0 t

A: