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0 Both first partial derivatives of the function f(x,y) are zero at the given points. Use...
#10 and #12 8. Find all points (.y) where fCx.y) -3x2 + 7xy -4y2 + x + y has possible relative maximum or minimum values 9. Find all points (x,y, z) where f(x,y,z) 5+ 8x 4y+x2+y2 z2has possibl...
#10 and #12
8. Find all points (.y) where fCx.y) -3x2 + 7xy -4y2 + x + y has possible relative maximum or minimum values 9. Find all points (x,y, z) where f(x,y,z) 5+ 8x 4y+x2+y2 z2has possible relativema imun or minimum value 10. Both first partial derivatives of f(x.y)-x-4xyy are zero at the points (0 11. Find all points (x,y) where f(e.y) 2x2+3xy + 5y has possible relative maximum or minimum values. Then, use the 12. Use the second...
5. [-13 Points) DETAILS TANAPCALC10 8.R.029. Consider the following. Ax,y) - 2x2 + y2 - 12x...
5. [-13 Points) DETAILS TANAPCALC10 8.R.029. Consider the following. Ax,y) - 2x2 + y2 - 12x - 4y + 4 Find the critical points of the function. (If an answer does not exist, enter DNE.) (x, y) = Use the second derivative test to classify the nature of each of these points, if possible. O relative maximum relative minimum saddle point inconclusive no critical point Finally, determine the relative extrema of the function. (If an answer does not exist, enter...
Find the critical point of the function. Then use the second derivative test to classify the...
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...
(a) Find the critical numbers of the function f(x) = x6(x − 1)5. x = (smallest value) x = ...
(a) Find the critical numbers of the function f(x) = x6(x − 1)5. x = (smallest value) x = x = (largest value) (b) What does the Second Derivative Test tell you about the behavior of f at these critical numbers? At x = , the function has a local minimum (c) What does the First Derivative Test tell you that the Second Derivative test does not? (Enter your answers from smallest to largest x value.) At x = ,...
f(x, y) = In(1+7x2 + 5y2 )
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) = In(1+7x2 + 5y2 )(x, y) = _______ Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.) relative minimum value _______ relative maximum value _______
please solve all parts. For the function f(x,y)=x3+y3 – 6y2-3x+5, do the following: (a) Determine its...
please solve all parts.
For the function f(x,y)=x3+y3 – 6y2-3x+5, do the following: (a) Determine its critical point(s) if exists. Express your answer as coordinate pairs with parentheses and commas. Separate your answers with commas and list in ascending order of x if the function has more than one critical point. Use **DNE" if the function has no critical point. Answer: (b) Use the D-Test to classify at each critical point whether the function has a relative maximum or minimum,...
Really need help on those two!! Show steps!! ( + 7)* Let f be defined by f(x) For the following, no decimal entries all...
Really need help on those two!! Show steps!!
( + 7)* Let f be defined by f(x) For the following, no decimal entries allowed. For parts (d) and (e), remember that you can enter your answer as an expression and let wamap be the calculator (a) List the critical valuc(s) of f. If there is more than onc, list them separated by commas. Preview (b) Find wheref is decreasing. Answer in interval notation Preview (c) Find where f is increasing....
The function f (x) = x3 (1 — «) + 4 has one local maximum and...
The function f (x) = x3 (1 — «) + 4 has one local maximum and one local minimum. Find the x- value where the local minima occurs. (Hint: You'll have to use the first derivative test here, the second derivative test gives you an inconclusive answer)
3. The derivative of a function f(x) is given. Find the critical numbers of f(2) and...
3. The derivative of a function f(x) is given. Find the critical numbers of f(2) and classify each critical point as a relative maximum, a relative minimum, or neither. f (x) = x(2-x) 22+x+1
2. For the two-argument function defined below: f(x,y) = 2x2 – 8xy + 5y + 3y2...
2. For the two-argument function defined below: f(x,y) = 2x2 – 8xy + 5y + 3y2 (a) Find fx = and fex = . (5 marks) (b) Find fy = and fyy (5 marks) (c) Determine the critical point(s) of the f(x,y). (8 marks) (d) Find fxy (3 marks) (e) Determine each of the critical point(s) in the above (c) whether is a local minimum, local maximum or saddle point by using second partial derivative test. (4 marks)
#10 and #12
8. Find all points (.y) where fCx.y) -3x2 + 7xy -4y2 + x + y has possible relative maximum or minimum values 9. Find all points (x,y, z) where f(x,y,z) 5+ 8x 4y+x2+y2 z2has possible relativema imun or minimum value 10. Both first partial derivatives of f(x.y)-x-4xyy are zero at the points (0 11. Find all points (x,y) where f(e.y) 2x2+3xy + 5y has possible relative maximum or minimum values. Then, use the 12. Use the second...
5. [-13 Points) DETAILS TANAPCALC10 8.R.029. Consider the following. Ax,y) - 2x2 + y2 - 12x - 4y + 4 Find the critical points of the function. (If an answer does not exist, enter DNE.) (x, y) = Use the second derivative test to classify the nature of each of these points, if possible. O relative maximum relative minimum saddle point inconclusive no critical point Finally, determine the relative extrema of the function. (If an answer does not exist, enter...
please solve all parts.
For the function f(x,y)=x3+y3 – 6y2-3x+5, do the following: (a) Determine its critical point(s) if exists. Express your answer as coordinate pairs with parentheses and commas. Separate your answers with commas and list in ascending order of x if the function has more than one critical point. Use **DNE" if the function has no critical point. Answer: (b) Use the D-Test to classify at each critical point whether the function has a relative maximum or minimum,...
Really need help on those two!! Show steps!!
( + 7)* Let f be defined by f(x) For the following, no decimal entries allowed. For parts (d) and (e), remember that you can enter your answer as an expression and let wamap be the calculator (a) List the critical valuc(s) of f. If there is more than onc, list them separated by commas. Preview (b) Find wheref is decreasing. Answer in interval notation Preview (c) Find where f is increasing....
The function f (x) = x3 (1 — «) + 4 has one local maximum and one local minimum. Find the x- value where the local minima occurs. (Hint: You'll have to use the first derivative test here, the second derivative test gives you an inconclusive answer)
3. The derivative of a function f(x) is given. Find the critical numbers of f(2) and classify each critical point as a relative maximum, a relative minimum, or neither. f (x) = x(2-x) 22+x+1
2. For the two-argument function defined below: f(x,y) = 2x2 – 8xy + 5y + 3y2 (a) Find fx = and fex = . (5 marks) (b) Find fy = and fyy (5 marks) (c) Determine the critical point(s) of the f(x,y). (8 marks) (d) Find fxy (3 marks) (e) Determine each of the critical point(s) in the above (c) whether is a local minimum, local maximum or saddle point by using second partial derivative test. (4 marks)
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