Write the dual for each of the following primal problems: (a) Maximize z = 66x1 – 22x2 subject to -X1 + x2 s -2 2x, + 3x, s 5 X1, X, 2 0 (b) Minimize z = 6x1 + 3x2 subject to 6x1 - 3x2 + xạ 2 25 3x1 + 4x2 + X3 55 X1, X2, X3 2 0 (c) Maximize z = x1 + x2 subject to 2x, + x, = 5 3x, - x, = 6 X1, x2 unrestricted

Q: y -1- 3x, 0<r<1, is revolved about the y-axis. Find the surface area of the [3]. The curve resulting…

A:

Q: Solve                 2   =   X-500/ 85

A: Firstly, we add 500/85 on both sides  and then by adding 2+500/85, we get the required result.

Q: SOLVE Bx +1 4 B+4xく1 13

A: Given that, the expression is Bx+14-B-4xB≤1.…

Q: 2. Evaluate, using the laws of logarithms. 2 log, 64 x v64* |+log, 46 43 256

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Solve: 749-4

A: We have solve for the value of x

Q: Solve

A: On solving

Q: Solve ,  15(p-6) = 15(p+5)

A: Given: 15(p−6)=15(p+5)

Q: -4) 12x+30= 3xー12

A: we first distribute the equation, Then combine like term on same side.

Q: –+l l5=405 %3D

A: We can solve the quinary number system problem as below.

Q: Solve  6-x=2x+9

A:

Q: solution r^3 = 36r

A: The given equation is a third degree equation. So it has 3 solutions.

Q: Solve 2X1 + 4X2= 80 and 3X1 + 1X2 = 60

A: 2X1 + 4X2= 80 rewrite equation as X1 + 2X2= 40..................(i) 3X1 + 1X2 = 60..............(ii)…

Q: 6. Solve 6*+³ – 6* = 215

A: 6. To solve: 6x+3-6x=215

Q: 3 + 4lnx =15

A: subtract both sides by 3

Q: Please solve (b)

A: Given

Q: What property is used to solve 15x = 5?

A: The equation is a statement that consists of equal symbol between two algebraic expressions. The…

Q: Solve: 3x – 5 < -2 or 10 - 2x < 4.

A: To solve the given inequalities 3x-5≤-2   or   10-2x&lt;4

Q: Solve by using u substitution and factoring:  x+x^1/2-20=0

A:

Q: 1. 3.7 x + 10 = 25 Solve

A:

Q: Solve: х? — 7х — -12 O x = -3, 4 O x = – ¤ = — 4, 3 х —D — 4, — 3 %3D Ox = 3, 4

A: The given quadratic equation is: x2-7x=-12

Q: Solve for r  us = -rtv

A: Given,            us = -rtv

Q: Solve: 2x + 5 = 3 or 2x + 3 < 3.

A: Given: 2x+5≥3 . 2x+3&lt;3 . When 2x+5≥3, 2x≥-2  x≥-1 When 2x+3&lt;3, 2x&lt;0  x&lt;0

Q: Solve for x: 4x? – 4xy +1-y² = 0

A: Introduction: The equation ax2 + bx + c = 0 is the Sridharacharya equation, where a, b, and c are…

Q: Solve 2 3 - = 13 and х у 5 4 -2 X X y

A:

Q: -5log, (x-4)=10

A:

Q: Please solve 14,15 thanks

A: Firstly draw the functions and the indicated line on the graph. Shade the required region and then…

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.