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Problem 8. (1 point) For the function f(x,y) = 4x² + 6xy + 2y”, find and...
(17) Consider the function f that is given by f(x, y)-2y +e Find all its critical points and classify each one as a local maximum, local minimum, or saddle point (17) Consider the function f that is given by f(x, y)-2y +e Find all its critical points and classify each one as a local maximum, local minimum, or saddle point
I need help with this question, thank you! (1 point) Consider the function f(x, y) = e-4x-x?+8y=y2. Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = fy= fxx fxy fyy = The critical point with the smallest x-coordinate is ) Classification: ( (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is ) Classification: ( (local minimum,...
Find the critical point of the function. Then use the second derivative test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.) f(x, y) = x2 − 4xy + 2y2 + 4x + 8y + 8 critical point (x, y)= classification ---Select--- :relative maximum, relative minimum ,saddle point, inconclusive ,no critical points Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.) relative minimum value= relative...
#3 please!! 2. Given the function f(x, y)-x2 +y -2xy -6x - 2y 5, find the following: (a) Find the critical point(s) of the function. For full credit, show all the algebra to find these and give your answer as ordered pairs. (b) Find the second order partial derivatives and use these to find the determinant of each critical point. Then classify each critical point as a saddle point, relative minimum, or relative maximum point. 3. A wine dealer sells...
[1] (10 points) Find the relative extrema and saddle points for the function f(x,y) = x+y? - 6xy +8y. 121 (10 points) Use Lagrange multipliers to find the maximum value of the function f(x,y)=4-x? -y on the parabola 2y = x² +2.
73 Optimizing Functions of Several Variable Problem 6 Previous Problem List Next (2 points) Consider the function f(x, y) = e Ax-x2-6-y Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank fx = fy = fix fxy - fyy The critical point with the smallest x-coordinate is | (local minimum, ) Classification: local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate...
Consider the function f(x, y) = -8 – 2y – x+y + x2 + 1972. How many relative maxima, relative minima, and saddle points does f(x,y) have? NOTE: ONLY 3 ANSWER TRIES ON THIS PROBLEM. relative minima saddle point relative maxima Submit Answer Tries 0/3 This discussion is closed. Send Feedback
Problem #10: Consider the following function. 8(x,y) = {2x2 – 3y2 +6V6 y (a) Find the critical point of g. If the critical point is (a, b) then enter 'ab' (without the quotes) into the answer box. (b) Using your critical point in (a), find the value of D(a,b) from the Second Partials test that is used to classify the critical point. (c) Use the Second Partials test to classify the critical point from (a). Problem #10(a): Enter your answer...
please show work, im so lost on all of these Given f(x, y) = 4x 5xys + 3y?, find f(x,y) = fy(x, y) = f(x, y) = 5x2 + 4y? $2(5, - 1) = Given f(x, y) = 4x2 + xy 4x² + xys – 67%, find the following numerical values: $:(3, 2) = fy(3, 2) = Given f(x, y) = 3x4 – 6xy2 – 2y3, find = fry(x, y) = Find the critical point of the function f(x, y)...
4. (12 points) Find the critical points of f(x,y) = 2y3 + 3r? - 6xy and determine whether they are local minimum, maximum, or saddle points. For the critical points give us local extreme values, what are these extreme values (if any)?