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as 6. Rearrange the following. Remember to write pm() a. Make L the subject of f...
Please answer the following questions with solution, thanks 4. Consider the function f(x) = 2x +...
Please answer the following questions with solution, thanks
4. Consider the function f(x) = 2x + 1, a) Find the ordered pair (4. f(4) on the function. b) Find the ordered pair on the inverse relation that corresponds to the ordered pair from part a). c) Find the domain and range of f. d) Find the domain and the range of the inverse relation off. e) Is the inverse relation a function? Explain. 5. Repeat question 4 for the function...
f) (6 pts) Which of the following mixtures will make a buffer? (Circle only one!) r? Circle onlyone f)(6 1000 mL fh following mix oc m will make a b S a) 100 mL of 1.0 M HCI +100 mL of 1.0 M N...
f) (6 pts) Which of the following mixtures will make a buffer? (Circle only one!) r? Circle onlyone f)(6 1000 mL fh following mix oc m will make a b S a) 100 mL of 1.0 M HCI +100 mL of 1.0 M NaOH +100 mL of 0.50 M HF 100 mL of 1.0 M HCI c)100 mL of 1.0 M HF +100 mL of 0.50 M NaOH 100 mL of 1.0 M HF +100 mL of 1.0 M NaOH...
(8) Solve the following equations. Remember to check your solutions. (a) V6x + 7 = x+2...
(8) Solve the following equations. Remember to check your solutions. (a) V6x + 7 = x+2 (b) VX-3 + 5 = x
(6) Given the augmented matrix 112 -5 -1 10 1 which of the following row operations...
(6) Given the augmented matrix 112 -5 -1 10 1 which of the following row operations would give you the resulting matrix 11 0 lo 2 1 0 -5 -2 - 1 1 - 1 - 1 ? (a) -3R2 - R3 - R (b) 3R2 + R3 R3 (C) -3R2 + R3 R3 (d) R3 - 3R2 + R2 (e) none of the above (7) Find a point where the tangent line to the curve (x)-(x-2)(x2-x-11) is horizontal (a)...
a) Solve the following problem using Lagrange multiplier method. Minimize fCX)-x1+ x2+X 4. subject to: x2+x-3...
a) Solve the following problem using Lagrange multiplier method. Minimize fCX)-x1+ x2+X 4. subject to: x2+x-3 X1+3x2+ 2x)- 7 (1) (2) (Note: Please do not check the second order sufficiency conditions) b) If the right side of the above constraint (1) is changed to 3.4, using sensitivity analysis find the approximate new minimum value of fX).
a) Solve the following problem using Lagrange multiplier method. Minimize fCX)-x1+ x2+X 4. subject to: x2+x-3 X1+3x2+ 2x)- 7 (1) (2) (Note: Please do...
Use Lagrange multipliers to find the maximum and minimum values of the function f subject to the ...
how to do part A B and C?
Use Lagrange multipliers to find the maximum and minimum values of the function f subject to the given constraints g and h f(x, y, z)-yz-6xy; subject to g : xy-1-0 h:ỷ +42-32-0 and a) (i)Write out the three Lagrange conditions, i.e. Vf-AVg +yVh Type 1 for A and j for y and do not rearrange any of the equations Lagrange condition along x-direction: Lagrange condition along y-direction: Lagrange condition along z-direction: 0.5...
6, Maximize z = 2x1 + x2 + 3x3 subject to x 3x2 5x3 s 10 2x x 20, x, 0, x320. (a) State the dua...
6, Maximize z = 2x1 + x2 + 3x3 subject to x 3x2 5x3 s 10 2x x 20, x, 0, x320. (a) State the dual problem. (b) Solve both the primal and the dual problem with any method that works. (c) Check that your optimal solutions are correct by verifying they are feasible and the primal and dual objective functions give the same value.
6, Maximize z = 2x1 + x2 + 3x3 subject to x 3x2 5x3 s...
3) Sketch the graph of the following rational functions. 2 a. f(x) = + +5r+6 x...
3) Sketch the graph of the following rational functions. 2 a. f(x) = + +5r+6 x + 1 b. f(x) - 4x - 32 4) Solve each inequality. Give each solution in interval notation. a. + +8r+15 so b. 2x-5x > 3 C. (x - 1)(x+3)(x+5) > 0 x+3 d. > 0 x² - 5x+6 X +3 <2 2x+4 e.
Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints...
Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+y2- 1 1. (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above constraints are changed to: (3) (4) 2x -0.9y-z 2 x2+ y2- 0.9.
Solve the following problem...
Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints...
Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+ y2- 1 (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above constraints are changed to: (3) (4) 2x-0.9y-z =2 x2+y2- 0.9
Solve the following problem using Lagrange...
Please answer the following questions with solution, thanks
4. Consider the function f(x) = 2x + 1, a) Find the ordered pair (4. f(4) on the function. b) Find the ordered pair on the inverse relation that corresponds to the ordered pair from part a). c) Find the domain and range of f. d) Find the domain and the range of the inverse relation off. e) Is the inverse relation a function? Explain. 5. Repeat question 4 for the function...
f) (6 pts) Which of the following mixtures will make a buffer? (Circle only one!) r? Circle onlyone f)(6 1000 mL fh following mix oc m will make a b S a) 100 mL of 1.0 M HCI +100 mL of 1.0 M NaOH +100 mL of 0.50 M HF 100 mL of 1.0 M HCI c)100 mL of 1.0 M HF +100 mL of 0.50 M NaOH 100 mL of 1.0 M HF +100 mL of 1.0 M NaOH...
(8) Solve the following equations. Remember to check your solutions. (a) V6x + 7 = x+2 (b) VX-3 + 5 = x
(6) Given the augmented matrix 112 -5 -1 10 1 which of the following row operations would give you the resulting matrix 11 0 lo 2 1 0 -5 -2 - 1 1 - 1 - 1 ? (a) -3R2 - R3 - R (b) 3R2 + R3 R3 (C) -3R2 + R3 R3 (d) R3 - 3R2 + R2 (e) none of the above (7) Find a point where the tangent line to the curve (x)-(x-2)(x2-x-11) is horizontal (a)...
a) Solve the following problem using Lagrange multiplier method. Minimize fCX)-x1+ x2+X 4. subject to: x2+x-3 X1+3x2+ 2x)- 7 (1) (2) (Note: Please do not check the second order sufficiency conditions) b) If the right side of the above constraint (1) is changed to 3.4, using sensitivity analysis find the approximate new minimum value of fX).
a) Solve the following problem using Lagrange multiplier method. Minimize fCX)-x1+ x2+X 4. subject to: x2+x-3 X1+3x2+ 2x)- 7 (1) (2) (Note: Please do...
how to do part A B and C?
Use Lagrange multipliers to find the maximum and minimum values of the function f subject to the given constraints g and h f(x, y, z)-yz-6xy; subject to g : xy-1-0 h:ỷ +42-32-0 and a) (i)Write out the three Lagrange conditions, i.e. Vf-AVg +yVh Type 1 for A and j for y and do not rearrange any of the equations Lagrange condition along x-direction: Lagrange condition along y-direction: Lagrange condition along z-direction: 0.5...
6, Maximize z = 2x1 + x2 + 3x3 subject to x 3x2 5x3 s 10 2x x 20, x, 0, x320. (a) State the dual problem. (b) Solve both the primal and the dual problem with any method that works. (c) Check that your optimal solutions are correct by verifying they are feasible and the primal and dual objective functions give the same value.
6, Maximize z = 2x1 + x2 + 3x3 subject to x 3x2 5x3 s...
3) Sketch the graph of the following rational functions. 2 a. f(x) = + +5r+6 x + 1 b. f(x) - 4x - 32 4) Solve each inequality. Give each solution in interval notation. a. + +8r+15 so b. 2x-5x > 3 C. (x - 1)(x+3)(x+5) > 0 x+3 d. > 0 x² - 5x+6 X +3 <2 2x+4 e.
Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+y2- 1 1. (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above constraints are changed to: (3) (4) 2x -0.9y-z 2 x2+ y2- 0.9.
Solve the following problem...
Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+ y2- 1 (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above constraints are changed to: (3) (4) 2x-0.9y-z =2 x2+y2- 0.9
Solve the following problem using Lagrange...
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