Consider the function f(x,y) = x - 2xy+3y +5 and the point P(-1,3).a. Find the...
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Consider the function f(x,y) = x - 2xy+3y +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)
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