Let x be a nondegenerate BFS to a standard form problem min Tx subject to Ax = b x ≥ 0 and let Z _ {i | x; is a nonbasic variable}. Prove that if x is an optimal solution, then the following LPP has an optimal cost of zero: min CT d subject to Ad = 0 di ≥ 0, i Є Z

Q: Q2) Use rounding to 6 digits and compute each of the following: a) P(0.01), where P(x) =…

A: Given, P(x)=(ex-1-x)x2 therefore, P(0.01)=(e0.01-1-0.01)0.012                                =…

Q: In(x²) = 2 ln(x) for all x True O False

A: ln(x^2) =2ln(x) for all x

Q: |x+7/2| ≥ 9

A: Given,

Q: Find the smallest integer x for which (x4 + 4x)/(x + 2) is O(xx). 01 02

A:

Q: Find the GCF of -3x3 + 15x² – 6x

A: To find the GCF of -3x3+15x2-6x

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: The number ofunits in Z29[x] is 28 22 30 None

A: See the detailed solution below.

Q: Show the function f1(x) is primitive recursive. f1(x) returns n if factorial(n) = x but returns 0 if…

A:

Q: Find the deniva tive of the given Fimction log 4 (x) +16

A: Fx=log4x+16x⇒Fx=lnxln4+16x

Q: If Xo and X, are two numbers with Xo F(X1) O B. F(XO) = F(X1) O C. None of the above O D. F(X0) <…

A: It depends on the conditions; If F is a increasing function then option D is correct. If F is…

Q: α Let V₁ = {(₁)|a € R}. V₁ with standard V4 operations will fail both axiom "close under addition"…

A: Let A be a set and ∘ binary operation on A then 1. We say A is closed under the binary operation ∘…

Q: .2 ペ+15X+ 32X"+23x*+25K-3 Ax (+メ+2) (x2+1)。 2.

A: ∫x6+7x5+15x4+32x3+23x2+25x-3x2+x+22x2+12dx

Q: Let A = 3 2 and B = -2 Compute each of the following: (a) A? (b) ВЗ (c) (AB)²

A: To compute the following.

Q: 9. Solve In (x+5) 2 2. O A. (x | x 2 12.3891} B. (x | x 2 2.3891} O C. (x |xs 12.3891} O D. {x |x s…

A: Given:         ln(x+5)≥2

Q: The multiplicative inverse of 1+ 4x in Zg[x] is: 4x+1 6x+1 None 1/(3x+1)

A:

Q: Show that if s(3) 4(q- _9−2+9(1+ 93 2(g-1) increasing or decreasing. For 3 > 0, q> 3

A: The given function is                               sβ=q-2+q1+4q-1qβ122q-1 where β&gt;0 and q&gt;3.…

Q: Find the index of 5 relative to each of the primitive roots of 13 (a) 2 (b) 6 (c) 7 (d) 11

A: To find the index of 5 relative to each of the primitive roots of 13. We know that p be prime number…

Q: If Xo and X, are two numbers with Xo < X, then the true one is

A: Answer:-  Option D is the correct answer.

Q: Simplify: x*- 4x-5 x* +2x+1 ペ-25 O A. x+1 x-5 В. ** +1 ○c.ピー5 x +1 x²-25 O D. x-1 x-5 OE. x* -1

A: We write x⁴-4x²-5 =x⁴-5x²+x²-5 =x²(x²-5)+(x²-5) =(x²+1)(x²-5) Also x⁴+2x²+1 =(x²+1)²

Q: (a) List the elements in A3 in lexicographical order, and list the elements in B3 in lexico-…

A:

Q: min xí + x1x2 + x2 X2 2 0 St{x1 + x2 < 3

A:

Q: Describe geometrically the effect of the transformation T Let A = -(1) Define a transformation T by…

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: (c) How many of the elements of Z186 have multiplicative inverses?

A: To find the number of elements in the set of integers modulo 186, which have multiplicative inverse.

Q: a) 1 (x-1)(x+2)(x+4)

A:

Q: Evaluate O √x(1+x²) dx 2 x1/2 1 2x¹/2 O O 2,2/3 3 O 3x²/3 2 + 2x¹/2 + C x1/2 + +C 2 2x5/2 5 5x5/2 -…

A: Note: Every options given by the question are incorrect. I am 100% sure about it.  The correct…

Q: If E[X 4 and Var(X) 1, then E(1 + 5X)²] - and Var(2 + 4X)

A: GivenE(X)=4Var(X)=1

Q: For the following claim Below you must disprove it. "For all integers x, x^2 + 1 is odd" Use the…

A: for example take x=3 .  then x^2 +1=10 , which is even.

Q: Make this nonlinear problem to a BINARY INTEGER PROBLEM.   Max z = x2y + 3x3yw     subject to…

A: As per the question we are given a nonlinear optimization problem which we have to convert into a…

Q: Evaluate x²(x³ +9)¹/² dx 2 +9)³/2 +C Nia O (x² +9) ³/2 +C O C(x² +9)³/2 O x³ +9+C

A:

Q: I also found that the expression was divisible by 13 at n=6 and n=10. Is there anyway you could…

A: Any number n can be written in the form          n = 3m, or 3m+1, or 3m + 2 for some integer m.…

Q: So what's the final value of x1 x2 x3 and x4? indivually

A: Answer :  No value  the system of equations does not converge to any value. so there doesn't exist…

Q: Def (Function): A binary relation RCX X Y is called a function from X to Y, written f:X →Y if -…

A: The concepts have been explained with examples.

Q: A rental truck costs $45.45 for a day plus 94¢ per mile. (a) If x is the number of miles driven,…

A: Given that, a rental truck costs $45.45 for a day plus 94c per mile.

Q: An employee of a car parts store was mistaken and saved the defective flashlights, along with the…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Suppose you're faced with 2 scenarios: (1) A negative value inside the parenthesis raised to an even…

A: A good example of the numbers helps to validate the given statement. The power-on some number or…

Q: Suppose a special type of small data processing firm is so specialized that some have difficulty…

A: Property of probability distribution function (pdf) :  ∫yf(y) dy =  1

Q: Show that x19 + x8 + 1 has multiple zeros in some extension of Z3.

A: To Show :x19+x8+1 has multiple zeroes in some extension of Z3.