please do 9,13,17 only 8. What is the procedure for locating absolute maximum and mi mum...
Question 4(25 marks) Find the critical points of following function, then determine whether they are relative maximum, relative minimum or saddle points i. f(x,y) 3x2-2xyy2- 8y [Smarks] [5marks] [5marks] iii. f(x,y)--2x + 4y-x2-4y2 + 9 b) Find the divergence and curl of the following vector fields i. F(x, y, z) = x2 yi + 2y3zj + 3zk [5marks] ii. F(x, y,z) x sin y i+4xyz j - cos 3z k [5marks]
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...
-/2 POINTS MY NOTES ASK YOUR TEACHER Solve the following linear programming problem. Restrict x 20 and y 2 0. Maximize f = 3x + 4y subject to x + y s 9 2x + y s 14 y s6. (x, y) = ( ) -/2 POINTS MY NOTES ASK YOUR TEACHER Solve the following linear programming problem. Restrict x 2 0 and y 2 0. Minimize g = 6x + 8y subject to the following. 5x + 2y >...
can you please answer all of them please need it for a review F(x y, z) = 6x over the rectangular solid in the first octant bounded by the coordinate planes and the planes X-9, y-3, 2-S 27 1458 162 243 Find the center of mass of a thin triangular plate bounded by the coordinate axes and the line x + y = 4 if o(x, y) = x + y. 5 5 -3.73 . Oz Find the center of...
#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...
only the ones highlighted and please show all steps. Finding Area by the Limit Definition In Exercises 47–56, use the limit process to find the area of the region bounded by the graph of the function and the x-axis over the given interval. Sketch the region. 47. y = - 4x + 5, [0, 1] 48. y = 3x - 2. [2,5] 49. y = x2 + 2, [0, 1] 50. y = 5x + 1, [0, 2] 51. y...
Please find and classify all the critical points for Q19 and Q20 5-20 Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function 5. f(x, y) xy y + y 6. f(x, y)-xy 2x 2y x-y 7. f(x, y) x-y)1 - xy) 8. f(x, y)y(e- ) 9. f(x, y)-x y* + 2xy 10. f(x,...
Please answer 1,2,3,4,5,6,7 by showing all of your work make sure all of the answers is fully correct. y-3 1. Solve fory: - 4 B) C) D)-16 4 4 2. Perform the operation: (9x + 2x -9) - (-5x- 3x + 9). A) 3x7 +5x B) 14x2 +5x - 18 C) 14x-x - 18 D) 3x+5x - 18 3. Multiply: (x' - 10) (x' + 10) B) x*- 100 A) x*+ 20x2 -100 C) x*-20 Dx4-20x2- 100 4. Multiply: (2x...
1) Determine the critical points of the following function and characterize each as minimum, maximum or saddle point. See the attached slide. f(x1,x2) = x 2 - 4*x1 * x2 + x22 a critical point -, where f(x) = 0, if Hy( ) is Positive definite, then r* is a minimurn off. Negative definite, then r* is a maximum of . - Indefinite, then 2 is a saddle point of f. Singular, then various pathological situations can occur. Example 6.5...
pleease solve them for me now pleeeaaase some of them have multiple answers x²-v If L= lim (x, y) + (0,0) X x+v then along y = mx, so limit exist L 1-mo 1+ m2 along path x = my, and limit does not exist L = m2 -1 0 m +1 along the path X = my and limit does not exist L m-1 0 m + 1 along y=mx? and limit does not exist L 1.-mo 1 +...