13. + -12 points ZillEngMath6 9.5.028. Find a vector that gives the direction in which the...
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)
5. 0/2 points | Previous Answers ZillEngMath6 10.4.010. Solve the given initial-value problem. x'-(1 -1 X(o) 0 8 eBook Submit Answer Save Progress Practice Another Version
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...
4 marks] Find a unit vector in the direction in which J(x,y) - V marks Find a unit vector in the direction in which f(r, decress most rapidly at P(3, 1); and find the rate of change of at P in that direction.
4 marks] Find a unit vector in the direction in which J(x,y) - V marks Find a unit vector in the direction in which f(r, decress most rapidly at P(3, 1); and find the rate of change...
(1 point) Consider the function f (x, y) = 3x2 + 4y2. f at the point (-4,1) in the direction given by Find the the directional derivative of the angle 0 Find the vector which describes the direction in which f is increasing most rapidly at (-4, 1)
(1 point) Consider the function f (x, y) = 3x2 + 4y2. f at the point (-4,1) in the direction given by Find the the directional derivative of the angle 0 Find...
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
s (ls points) 1/ Given f(x,>)-xy+e" sin y and P(1,0) a) Find the directional derivative of fat P in the direction of Q(2, 5). b) Find the directions in which the function increases and decreases most rapidly atP e) Find the maximum value of the directional derivative of fat P. d) Is there a direction u in which the directional derivative o f fat P equals 1? If there is, find u. If there is no such direction, explain. e)...
Viewing Saved Work Revert to Last Response 20--12.22 points Vector A has a magnitude of 33 units and points in the positive y direction. When vector B is added to À, the resultant vector A B paints in the negative y direction with a magnitude of 13 units. Find the magnitude and direction of B magnitude directionSelect unit(s) Need Help? Read it Show My Work (optional Submt Answer Save Progress Practice Another Version
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...
4. +2 points BoyceDiffEQBr10 6.2.005 Find the inverse Laplace transform of the given function. (Express your answer in terms of t.) ()2 2 F(s) s2 + 2s 26 Additional Materials 単eBook Submit Answer Save Progress Practice Another Version