Question: Compute the gradient of the function at the given point. f(x, y) = In(-5x + 3y), (-9, -4) O Vf = 1 33 33' O

 Compute the gradient of the function at the given point. f(x,y) = In(-5x + 3y), (-9, -4) O Vf = 1 3333' O 3 4 Vf = 11 33 Vf = - -it1 11 O Vf = - 4 3 33 11 PreviousD Question3 Solve the problem. Evaluate aw at at t = 2nt forthe function w = x2 - y2 - 9x; x = cost,y = sin t. O -13 OO O -7 O -11 Previous10pts T' D { Question 7 1 has a possible relative maximumor minimum. Use the second-derivative test to determine, if possible. the nature
of f(x. y) at Find all points (x. v) where {(x. y)=% + xy - 3! each of these points. ' O (-1.1) gives a relative maximum point / ) O (-1. 1) givesa relative minimum point I 0 Neither a relative maximum nora relativeminimum at (-1. 1) ' i O [1. shes a relative minimumpoint i Not saved Submit Quiz if Find the second-order partial derivative.Find fxy when f(x, y) = - X x+y O 2y (x+y)3(x+y)3 O y - x (x +y)3 O X (x +y)3 Ox- y (x + y)3 PreviousQuestion 10 Find all points where the

Compute the gradient of the function at the given point. f(x, y) = In(-5x + 3y), (-9, -4) O Vf = 1 33 33' O 3 4 Vf = 11 33 Vf = - -it 1 11 O Vf = - 4 3 33 11 PreviousD Question 3 Solve the problem. Evaluate aw at at t = 2nt for the function w = x2 - y2 - 9x; x = cost, y = sin t. O -13 OO O -7 O -11 Previous10 pts T' D { Question 7 1 has a possible relative maximum or minimum. Use the second-derivative test to determine, if possible. the nature of f(x. y) at Find all points (x. v) where {(x. y) =% + xy - 3! each of these points. ' O (-1. 1) gives a relative maximum point / ) O (-1. 1) gives a relative minimum point I 0 Neither a relative maximum nora relative minimum at (-1. 1) ' i O [1. shes a relative minimum point i Not saved Submit Quiz if Find the second-order partial derivative. Find fxy when f(x, y) = - X x+y O 2y (x +y)3(x+y)3 O y - x (x +y)3 O X (x +y)3 O x- y (x + y)3 PreviousQuestion 10 Find all points where the function has any relative extrema or saddle points and identify the type of relative extremum. flxv) = 4w - xzv - xv2 Relative minimum at E: % and saddle point at (0.0) Relative minimum at [25, -- and saddle point at (0. 0) Relative maximum at[%. g] and saddle point at (0. O] l o . l 1 A a a i: Relative maximum at 3. 3] and saddle point at [3. 3] ' Previous Not saved Submit D Question 2 Solve the problem. Evaluate dw at - at t = 10 for the function w = exyz; x = t, y = t, z = . O OS PreviousD Question 4 Provide an appropriate response. Find the critical points for f(x, y) = x2 + xy + y2 - 3x + 2. O (-2. -1) o (#2)}; O (2.1) O (2. -1) ' Previous 95- Solve the problem. Evaluate dw at - at t = _ it for the function w = Xy ; ; x = sin t, y = cost, z = t2. O N/ N 7 2 O O 4 25 7 2 O

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