Find the maximum rate of change of f(x, y, z) = x+y/z at the point (1, -3, 5) and the direction in which it occurs. Maximum rate of change: Direction (unit vector) in which it occurs: 000

Q: Find the maximum rate of change of f(x, y) = ln(x² + y2) at the point (-3, -5) and the direction in…

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Q: the temperature (in F) at point (x,y)(measured in miles) is given by  T(x,y)=80-x4 +2x2 y-y2 How…

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Q: Point is (lっ) Fix, ノ) = 3x what is the gradient?

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Q: A stream line is a line that is everywhere tangent to the velocity filed ylgn O İhi O

A: Given that A stream line is a line that is everywhere tangent to the velocity field

Q: Consider the following position function. Find ​(a) the velocity and the speed of the object and…

A: This is required solution. May this help you.

Q: Consider the function f(x, y, z) = xy+yz² + xz*. Find the gradient of f: • x+z? 2yz +3z²x Find the…

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Q: 6. (t -3Ÿ +2 (t-3)St

A: Given 6∫(t-3)23+(2t-3)tdtwe need to integrate the given equation

Q: F(X, y,z) = 2x -y? +z?

A: F(x,y,z)= 2x-y^2-z^2 at point (4,-4,2) df/dx= 2 df/dy=-2y df/dz= -2z

Q: Let f(x, y) = xe™² —y and P = (5, 25). (a) Calculate || V fp||. (b) Find the rate of change of f in…

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Q: 8 f(x, y) = y/x, P(1,2), u = }(2i + 5 j) |(2i + /5 j)

A: To find the gradient at the given point and then rate of change for the given function.

Q: After finding your friend, you search for the buffet place. Again it is crowded. You want to know…

A: Sol:- The distribution function x²+y² represents a scalar field that assigns a value to each point…

Q: calculate V(3r2-4vr + )

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Q: A factory makes bicycle tires. The cost, C, in dollars and revenuue in dollars, R, are both…

A: Given and Basic information:R=Rn, Revenue earned by selling 'n' tiresdollarsC=Cn, total cost of…

Q: . Suppose the rate at which ice in a pond is melting is given by ay = 4t+2, where V is the volume of…

A: 12   a.dvdt=4t+2we can write it asdv=(4t+2)dtintegrate on both side∫dV=∫(4t+2)dtwe have to calculate…