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- Find the linearization of the function f(x, y, z) = Sqrt(x^2+y^2+z^2) at (3, 2, 6) and use it toapproximate the number Sqrt((3.02)^2+(1.97^2+5.99^2).A particle travels ling a horizontal line according to the function s(t)=t^3-2t^2-7t+2 where t is measured in seconds and s is measured in feet. Find the acceleration of the particle at t=4 secondsFind the local linearization of f(x)=x^(2) at 2.
- Compute the gradient of the function at the given point. f(x,y)= -8x^2+10y, (6,-2)Which of the following pair of functions is linearly independent? (а) еЗx, е(х-3) (b) 4, sin?x + cos?x (c) 2sin2x, sinxcosx (d) sinhx, (e* – e*)Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y, z) = x^2+y^2+z^2, (9,2,-8) maximum rate of change direction vector