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Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. f(x,y) = 9X4...
Find all points (x,y) where f(x,y) has a possible relative maximum or minimum f(x,y) = 2x3 + 2y2 - 24x - By Using only the first-derivative test for functions of two variables, find all the points that are possibly a relative maximum or a relative minimum (Type an ordered pair. Type an exact answer. Use a comma to separate answers as needed)
Find the absolute maximum and minimum of the function f(x,y)=2x? - 8x + y2 - 8y + 7 on the closed triangular plate bounded by the lines x = 0, y = 4, and y = 2x in the first quadrant. On the given domain, the function's absolute maximum is The function assumes this value at . (Type an ordered pair. Use a comma to separate answers as needed.) On the given domain, the function's absolute minimum is The function...
Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x2 - 4xy + y2 + 6y +1 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. A local maximum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The loal maximum value(s) is/are (Type an exact answer. Use comma to separate answers as needed.) OB. There are no local...
Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. f(x) = x- 14x + 49 X-10 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. and a relative minimum of at x = 1. O A. The function has a relative maximum of at x = (Use a comma to separate answers as needed.) at x = . OB. There are no...
Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. f(x)= x3-3x2 9x-1 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. O A. The function has a relative maximum of (Use a comma to separate answers as needed.) B. There are no relative minima. The function has a relative maximum of (Use a comma to separate answers as needed.) O C. There...
ative extrema Find the value(s) of any relative extrema Find the x-values of all points where the function has any re tox)-x-18x2-4 First find the derivative of f(x) Now find any critical numbers of t(x) (Use a comma to separate answers as needed) O B. There are no critical numbers of fx) in any answer boxes within your choice O A. O B. The function has a relative maximum of O C. 0 D. There are no relative extrema es...
Please help solve the second part Find the relative maximum and minimum values. f(x,y) = x² + y2 - - 18xy Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The function has a relative maximum value of f(x,y)= at (x,y) = (Simplify your answers. Type exact answers. Type an ordered pair in the second answer box.) B. The function has no relative maximum value. Select the correct choice below...
30 31 14 complele) > Find a) any critical values and b) any relative extrema. t(x)=x + 9x -1 a) Select the correct choice below and, if necessary, fill in the answer box within your choice O A. The critical value(s) of the function is/are - (Use a comma to separate answers as needed.) OB. The function has no critical values. b) Select the correct choice below and, if necessary, fill in the answer box(es) within your choice O A....
Find all points where the function has any relative extrema or saddle points and identify the type of relative extremum. f(x,y) = x3 – 12xy + 8y3 A. Relative minimum at (2,1) and relative maximum at (0,0) OB. Relative minimum at (2,1) and saddle point at (0,0) OC. Saddle point at (2,1) D. Relative maximum at (1,2)
Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function. f(x) = -13-7x-x? Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. O A. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer....