4 Answered Questions for the topic multivariable

07/09/21

Suppose that g(x,y,z)= x^3y^2z^-1 determine the hessian h(g) at the point (1,1,1)
I actually have an initial solution to this, I just got stuck and I do not know if what I did was rightg(x,y,z) =x3y2z-1Fx=3x2y2 z-1Fy=x32yz-1Fz=x3y2-z-1Then the second partial derivativeFxx=... more
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Multivariable Calculus Circle Calculus 3

03/16/20

Finding the equation of a circle with a curvature equal to the curvature of a given curve at a point
"Find an equation for the circle of curvature of the curve r(t)=8t i + sin(5t) j at the point (4pi,1). (the curve parameterizes the graph of y=sin(5/8X) in the xy plane) Ive already found v(t)=8... more
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01/21/20

given the function f(x,y)=3x2+4xy+3y2 and u=x+y, v=x-y find the new function expressed in f(u,v). See description
given the function f(x,y)=3x2+4xy+3y2and u=x+y,v=x-y.find the new function expressed in f(u,v)
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Multivariable Math Calculus Algebra

06/01/19

Multivariable Calculus Problem
Please help me with the problem below, I am really stuck:In 2-space, find the unit vectors orthogonal to y = e ^ 2x at x = 0.
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