т Find the direction in which f(x, y, z) (4,1,1) - yz decreases most rapidly at...
QUESTION 13 T Find the direction in which f(x, y, z) (4,1,1)? yz decreases most rapidly at the point y ОА 1 (-1,5, -1) 27 OB. (1, -5,1) 27 Ос. 27 (-1,5,1) OD. V27(1.-5, -1) ОЕ 1 (1,5,1) V27
Find the directions in which the function increases and decreases most rapidly at Po Then find the derivatives of the function in these directions f(x,y,z) = (x/y) - yz, Po(-3.1.4) The direction in which the given function f(x,y,z) = (x/Y)- yz increases most rapidly at Po(-3.1.4) isu = 11+( 1+ k (Type exact answers, using radicals as needed) The direction in which the given function f(x,y,z) = (x/y) - yz decreases most rapidly at Po(-3.1.4) is -u=1:-( k (Type exact...
Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in those directions u f(x,y,z) = 4 In (xy) + 2 In (yz)+2 In (xz). Po(1,1,1) In which direction does the function increase most rapidly? (i+1+O (Type exact answers, using radicals as needed) In which direction does the function decrease most rapidly? = (1+) ;+ OK (Type exact answers, using radicals as needed.) What is the value of the...
Find the direction in which the function is increasing most rapidly at the point Po. f(x,y)= xe Y – In (x), P,(3,0) 9 O A. li + 85 B. Vas ( ) + ( ) it ( 726 ( ve 9 85 OD.
1. Find the directional derivative of the function f(x, y, z) = 2.cy – yz at the point (1,-1,1) in the direction of ū= (1,2,3). Is there a direction û in which f(x, y, z) has a directional derivative Dof = -3 at the point (1,-1,1)?
Find a vector that gives the direction in which the given function increases most rapidly at the indicated point. F(x, y, z) = xy2 + 6xz+y + 3yz?; (1,4,-1)
Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in these directions. xy) =x"cos(y) +x"win(x) cos(x)sin(y). Plo The direction in which the given function txy_f(xy)-x3cos(v)+x2vsin(x) + cos(x)sin(y)increases most rapidly at P 0주 is u: " (Type exact answers, using radicals as n (xy)=x3cos(y)+x"win(x)-cos(x)sin(y) The direc on in which the given function f(xy- is eases most rapidly at (Type exact answers, using radicals as needed The derivative of the...
Find the direction in which the function is increasing or decreasing most rapidly at the point P o f(x, y, z) = xy-ln(z), Po(1,-2, 2)
Homework 4: Problem 3 Previous Problem Problem List Next Problem (6 points) Consider the function f(x, y) - (e - x) sin(y). Suppose S is the surface z- f(x, y) (a) Find a vector which is perpendicular to the level curve of f through the point (5,5) in the direction irn which f decreases most rapidly. vector (b) Suppose u = 31 + 3/4 ak is a vector in 3-space which is tangent to the surface S at the point...
Previous Problem Problem List Next Problem f(x, y) (1 point) Consider the function f(x, y) = (e* - 5x) sin(y). Suppose S is the surface z (a) Find a vector which is perpendicular to the level curve of f through the point (5,4) in the direction in which f decreases most rapidly. vector -(eA5-5)sin(4)i+-(e^5-5(5)cos(4)j (b) Suppose above (5,4). What is a? 2i 8jak is a vector in 3-space which is tangent to the surface S at the point P lying...