Find all points (x,y) where f(x.y) has a possible relative maximum or minimum. Then use the second derivative test to determine, if possible, the nature of f(x,y) at each of these points, If the second derivative test is inconclusive, so state. f(x.y) =x -y? - 48x + 12y Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) where f(x,y) has a possible relative maximum or minimum is/are. (Type an ordered pair. Use a comma to separate answers as needed.) O B. There is no possible relative maximum or minimum. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) at which f(x,y) has a relative maximum is/are. (Type an ordered pair. Use a comma to separate answers as needed.) O B. There is no relative maximum, Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The paint(s) at which f(x,y) has a relative minimum is/are. (Type an ordered pair. Use a comma to separate answers as needed.) O B. There is no relative minimum. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) at which f(x.y) has neither a relative maximum nor a relative minimum is/are. (Type an ordered pair. Use a comma to separate answers as needed.) O B. There is always a relative maximum or a relative minimum. Select the correct choice below if necessary, fill in the answer box to complete your choice. O A. The point(s) at which the second derivative test is inconclusive is/are (Type an ordered pair. Use a comma separate answers as needed.) O B. There is no point where the second derivative test is inconclusive.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Find all points (x,y) where f(x.y) has a possible rolative maximum or minimum. Then use the second derivativo test to determine, if possible, the nature of f(x,y) at each of these points, If the second derivative test is inconclusive, so state.
f(x.y) =x - y? - 48x + 12y
Select the coTect choice below and, if necessary, fill in the answer box to complete your choice.
O A. The point(s) where f(x.y) has a possible relative maximum or minimum is/are.
(Type an ordered pair. Use a comma to separate answers as needed.)
O B. There is no possible relative maximum or minimum.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The point(s) at which f(x.y) has a relative maximum is/are.
(Type an ordered pair. Use a comma to separate answers as needed.)
O B. There is no relative maximum.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The point(s) at which f(x,y) has a relative minimum is/are.
(Type an ordered pair. Use a comma to separate answers as needed.)
O B. There is no relative minimum.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The point(s) at which f(x.y) has neither a relative maximum nor a relative minimum is/are.
(Type an ordered pair. Use a comma to separate answers as needed.)
O B. There is always a relative maximum or a relative minimum.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The point(s) at which the second derivative test is inconclusive is/are.
(Type an ordered pair. Use a comma
O B. There is no point where the second derivative test is inconclusive.
separate answers as needed.)
Transcribed Image Text:Find all points (x,y) where f(x.y) has a possible rolative maximum or minimum. Then use the second derivativo test to determine, if possible, the nature of f(x,y) at each of these points, If the second derivative test is inconclusive, so state. f(x.y) =x - y? - 48x + 12y Select the coTect choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) where f(x.y) has a possible relative maximum or minimum is/are. (Type an ordered pair. Use a comma to separate answers as needed.) O B. There is no possible relative maximum or minimum. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) at which f(x.y) has a relative maximum is/are. (Type an ordered pair. Use a comma to separate answers as needed.) O B. There is no relative maximum. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) at which f(x,y) has a relative minimum is/are. (Type an ordered pair. Use a comma to separate answers as needed.) O B. There is no relative minimum. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) at which f(x.y) has neither a relative maximum nor a relative minimum is/are. (Type an ordered pair. Use a comma to separate answers as needed.) O B. There is always a relative maximum or a relative minimum. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) at which the second derivative test is inconclusive is/are. (Type an ordered pair. Use a comma O B. There is no point where the second derivative test is inconclusive. separate answers as needed.)
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