Consider the function f(x,y) = x² - 2x²y+3y² +5 and the

Last updated: 8/11/2022

Consider the function f(x,y) = x² - 2x²y+3y² +5 and the point P(-1,3). a. Find the unit vectors that give the direction of steepest ascent and steepest descent at P. b. Find a vector that points in a direction of no change in the function at P. a. What is the unit vector in the direction of steepest ascent at P? <_,_> (Type exact answers, using radicals as needed.) What is the unit vector in the direction of steepest descent at P? <_,_>(Type exact answers, using radicals as needed.) b. Which of the following vectors is in a direction of no change of the function at P? A. (8,-16) B. (-16,8) C. (-8,16) D. (-16,-8)