Learn to choose coordinate systems, visualize multivariable functions, and parameterize curves. You can use these live scripts as demonstrations in lectures, class activities, or interactive ...

1 Institute of Mathematics, University of Lübeck, Lübeck, Germany 2 Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine This paper ...

Finding the extrema of a multivariable function is an essential skill in calculus and applied mathematics. This process allows you to determine the minima and maxima of a function across multiple ...

Abstract: Recently many authors [1] –[3] have discussed a study of heat, mass transfer, the impact of heat generation/absorption with ramp velocity, ramp temperature on magnetohydrodynamic (MHD) ...

x = newtons_method_n(f,J,x0) returns the root of a multivariate, vector-valued function specified by the function handle f, where J is the Jacobian of with respect to (i.e. ) and where x0 () is an ...

Purpose: This study aimed to examine the long-term association between social activity, physical function decline and cognitive function, as well as verify the long-term mediating effect of physical ...