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(2 points) Given the system of inequalities below, determine the shape of the feasible region and...
(1 point) Given the system of inequalities below, determine the shape of the feasible region and...
(1 point) Given the system of inequalities below, determine the shape of the feasible region and find the vertices of the feasible region. x + y = 6 2x + y 2 10 x + 2y 27 x 20 y20 The shape of the feasible region: Quadrilateral List the vertices (as a list of points such as "(2,3), (5,7), (0,0)"):
4. Given the following linear programming problem, determine which situation (choose one) a. An optimal solution...
4. Given the following linear programming problem, determine which situation (choose one) a. An optimal solution exists at a single vertex point. b. There is more than one optimal solution. C. There is no optimal solution because the feasible region does not exist d. There is no optimal solution because the feasible region is unbounded. Maximize: 2x +3y Subject to: x +2y 28 5. Graph the inequality: 2x +3y >12 6. Graph the system of inequalities: 7. Graph the system...
Given the system of linear inequalities below. You are completing a maximization problem where you have...
Given the system of linear inequalities below. You are completing a maximization problem where you have 2 machines, Machine 1 and Machine 2, which we will identify as M1 and M2. These machines produce 2 products, Product 1 and Product 2, which we identify as P1 and P2. Our objective function is M = 20x + 50y. 3x + y =21 4x +y 27 x 20 (y20 Suppose you are told that the maximum occurs at a vertex (corner point)...
2. Determine the center of mass of each region below given the variable density (a) The square wi...
Please help solve the following with steps. Thank you!
2. Determine the center of mass of each region below given the variable density (a) The square with vertices (0, 0), (0,1), (1,1), and (1,0) with ρ(x,y) = 1 + 0.5x (b) The uper half of the disk of radius 4 with p(x, y) 12 y2.
2. Determine the center of mass of each region below given the variable density (a) The square with vertices (0, 0), (0,1), (1,1), and (1,0)...
Calculus Find the centroid of the region in the first quadrant bounded by the given curves....
Calculus
Find the centroid of the region in the first quadrant bounded by the given curves. y = x4, x=yt (3, 3) = ( A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 14 m, the height h of air above the water level is 2 m, and the width w of the gate is 2 m. Find the hydrostatic force against the gate. (Round your answer to the...
answer both please A graphing calculator is recommended. Use a graphing calculator to graph the solution...
answer both please
A graphing calculator is recommended. Use a graphing calculator to graph the solution of the system of inequalities. Find the coordinates of all vertices, rounded to one decimal place. yax 2x + y 20 Y S 2x + 9 (smallest x-value) (x, y) - (x, y) - ( (x, y) =( (largest x-value) J. - Points A farmer has 500 acres of arable land on which he wants to plant potatoes and corn. The farmer has $40,000...
I would like to get answers for this homework as soon as possible . 1. a....
I would like to get answers for this homework as soon
as possible .
1. a. Find the coordinates of the vertex of the quadratic y = 2x2 + 3x – 3. b. Find the maximum and minimum values of 2x2 + 3x – 3 for-25x52. C. Find the exact coordinates of the points where y = 2x² + 3x – 3 cuts the coordinate axes. d. Find the values of k for which 2x2 + 3x - 3 =...
20. Show that the second derivative test is inconclusive when applied to f(r, y) 2 at (0,0). Desc...
20. Show that the second derivative test is inconclusive when applied to f(r, y) 2 at (0,0). Describe the behavior of the function at the critical point For the next few exercises things to know are: 1. In a closed and bounded region, a continuous function will assume a maximum value and it will assume ImIIm valuic. 2. These values have to be assumed either at a critical interior point or on the boundary. They canot be assumed anywhere else....
3. (2 Points) Let Q be the quadrilateral in the ry-plane with vertices (1, 0), (4,0), (0, 1), (0,4). Consider 1 dA...
3. (2 Points) Let Q be the quadrilateral in the ry-plane with vertices (1, 0), (4,0), (0, 1), (0,4). Consider 1 dA I+y Deda (a) Evaluate the integral using the normal ry-coordinates. (b) Consider the change of coordinates r = u-uv and y= uv. What is the image of Q under this change of coordinates?bi (c) Calculate the integral using the change of coordinates from the previous part. Change of Variables When working integrals, it is wise to choose a...
Use the technique of Example 2 to determine the number of zeros of f in the first quadrant. 6. f(...
I need help with #5.
Use the technique of Example 2 to determine the number of zeros of f in the first quadrant. 6. f(2)z6237 Example 2 Find the number of zeros of the function f(z) 23-222 4 in the first quadrant. Solution We examine f(z) on the contour shown in Figure 3.3; R is very big. On the segment 0 x R,f(x) = x3-2x2 + 4 is real and greater than 2. On the quarter- circle z = Re",...
(1 point) Given the system of inequalities below, determine the shape of the feasible region and find the vertices of the feasible region. x + y = 6 2x + y 2 10 x + 2y 27 x 20 y20 The shape of the feasible region: Quadrilateral List the vertices (as a list of points such as "(2,3), (5,7), (0,0)"):
4. Given the following linear programming problem, determine which situation (choose one) a. An optimal solution exists at a single vertex point. b. There is more than one optimal solution. C. There is no optimal solution because the feasible region does not exist d. There is no optimal solution because the feasible region is unbounded. Maximize: 2x +3y Subject to: x +2y 28 5. Graph the inequality: 2x +3y >12 6. Graph the system of inequalities: 7. Graph the system...
Given the system of linear inequalities below. You are completing a maximization problem where you have 2 machines, Machine 1 and Machine 2, which we will identify as M1 and M2. These machines produce 2 products, Product 1 and Product 2, which we identify as P1 and P2. Our objective function is M = 20x + 50y. 3x + y =21 4x +y 27 x 20 (y20 Suppose you are told that the maximum occurs at a vertex (corner point)...
Please help solve the following with steps. Thank you!
2. Determine the center of mass of each region below given the variable density (a) The square with vertices (0, 0), (0,1), (1,1), and (1,0) with ρ(x,y) = 1 + 0.5x (b) The uper half of the disk of radius 4 with p(x, y) 12 y2.
2. Determine the center of mass of each region below given the variable density (a) The square with vertices (0, 0), (0,1), (1,1), and (1,0)...
Calculus
Find the centroid of the region in the first quadrant bounded by the given curves. y = x4, x=yt (3, 3) = ( A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 14 m, the height h of air above the water level is 2 m, and the width w of the gate is 2 m. Find the hydrostatic force against the gate. (Round your answer to the...
answer both please
A graphing calculator is recommended. Use a graphing calculator to graph the solution of the system of inequalities. Find the coordinates of all vertices, rounded to one decimal place. yax 2x + y 20 Y S 2x + 9 (smallest x-value) (x, y) - (x, y) - ( (x, y) =( (largest x-value) J. - Points A farmer has 500 acres of arable land on which he wants to plant potatoes and corn. The farmer has $40,000...
I would like to get answers for this homework as soon
as possible .
1. a. Find the coordinates of the vertex of the quadratic y = 2x2 + 3x – 3. b. Find the maximum and minimum values of 2x2 + 3x – 3 for-25x52. C. Find the exact coordinates of the points where y = 2x² + 3x – 3 cuts the coordinate axes. d. Find the values of k for which 2x2 + 3x - 3 =...
20. Show that the second derivative test is inconclusive when applied to f(r, y) 2 at (0,0). Describe the behavior of the function at the critical point For the next few exercises things to know are: 1. In a closed and bounded region, a continuous function will assume a maximum value and it will assume ImIIm valuic. 2. These values have to be assumed either at a critical interior point or on the boundary. They canot be assumed anywhere else....
3. (2 Points) Let Q be the quadrilateral in the ry-plane with vertices (1, 0), (4,0), (0, 1), (0,4). Consider 1 dA I+y Deda (a) Evaluate the integral using the normal ry-coordinates. (b) Consider the change of coordinates r = u-uv and y= uv. What is the image of Q under this change of coordinates?bi (c) Calculate the integral using the change of coordinates from the previous part. Change of Variables When working integrals, it is wise to choose a...
I need help with #5.
Use the technique of Example 2 to determine the number of zeros of f in the first quadrant. 6. f(2)z6237 Example 2 Find the number of zeros of the function f(z) 23-222 4 in the first quadrant. Solution We examine f(z) on the contour shown in Figure 3.3; R is very big. On the segment 0 x R,f(x) = x3-2x2 + 4 is real and greater than 2. On the quarter- circle z = Re",...
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