Using Cramer's rule X1+ x2 + x3 = 20 X1 – x2 + x3 = 4 2x1 + x2 – x3 = 16

Q: Express the Boolean function F = x ′ y + x z as a product of maxterms.

A: The given boolean function can also be written as: F=x'y(z+z')+x(y+y')z such that  z+z'=y+y'=1 Now,…

Q: Find k such that f(x) = x3 - kx2 + kx + 2 has the factor x - 2.

A: The general polynomial equation of degree n  is an equation of the form…

Q: Let flx)-4x H2 %3D

A: Topic = Function

Q: 3. JX)=3X - g(x)=35x-30X+3 are ortnogonai each ther on [-1, 1].

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Q: sten Find the Multiplicity and value for x: a) = (3x + 9)° (2x – 11) (4x – 28)“ - X- values are 3, E…

A: To find the multiplicity and the value for X.

Q: Min z = 4x1 + 2x2 s.t. 3x1 + x2 ≥ 27 -x1 - x2 ≤ 21 x1 + 2x2 ≥ 30 x1 and x2 are unrestricted .

A: the given LPP is as follows Min z=4x1+2x2 subject to  3x1+x2≥27-x1-x2≤21x1+2x2≥30 where x1,x2 are…

Q: Q2: Use Cramer's rule to solve 3x1 0.1x2 0.2x3 = 7.85 0.1x1 + 7x2 - 0.3x3 = -19.3 0.3x1 - 0.2x2 +…

A: To solve the linear system by using cramer's rule

Q: x₁ ^ x2 - 2x2^x3 + x₁ ^ X4 form to Bring the skew-symmetric standard form.

A: Given: The differential form, x1∧x2-2x2∧x3+x1∧x4   To bring: The given skew-symmetric form to…

Q: var(û), if û = X1 + a jg X (n-1) + (X2 ++X(n-2) + 3 6X(m-1) + 증 .. 2(n-3) 4. 29n 256(п-3) 29…

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Q: Use Cramer's rule to solve: X1 - X2 = a1 x1 + bx2 = a2 -2 x1-X3 = a3.

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Q: Q2: Use Cramer's rule to solve 3x1 - 0.1x2 - 0.2x3 = 7.85 0.1x1 + 7x2 – 0.3x3 = -19.3 0.3x1 - 0.2x2…

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Q: Show that I (x) = 2x - 18 is invertible. What are the domain and range of f-1

A: fx=2x-18 Now consider, fx1=fx2,                   where x1, x2∈ℝ⇒2x1-18=2x2-18⇒2x1=2x2⇒x1=x2…

Q: Solve the following system by using Cramer's rule -X1 – 4x2 + 2x3 + X4 = -32 2x1 – x2 + 7x3 + 9x4 =…

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Q: Use Cramer’s rule to solve x1 + 2x2 + x3 = 5 2x1 + 2x2 + x3 = 6 x1 + 2x2 + 3x3 = 9

A: Given,x1 + 2x2 + x3 = 52x1 + 2x2 + x3 = 6x1 + 2x2 + 3x3 = 9We have to use cramer's rule to solve…

Q: Q2: Use Cramer's rule to solve 3x1 0.1x2 - 0.2x3 = 7.85 0.1x, + 7x2 - 0.3x3 = -19.3 0.3x, - 0.2x2 +…

A: SOLUTION-

Q: Find k such that f(x) = x4 - kx3 + kx2 + 1 has the factor x + 2.

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Q: Use Cramer's rule find yhe solution of x1: 2x1+X2-3x3=0 4x1+5x2+X3=8 -2x1-x+4x3=2

A: write the matrix D from the given equations  D=21-3451-2-14 calculate the determinant D…

Q: 12 f(x) = X ¹²³ + x² + x² + x² Show that whether f(x) is irreducible or not

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Q: If f is invertible and f(- 15) = 6, then %3D | f-(6) and (f( – 15))¯ -1 %3D

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Q: 20 8y + 4z = 7 6y - 8z = 41

A: Given equations are, 8y+4z=76y-8z=41 Write in matrix form and calculate the determinant as,…

Q: Let x) 4 and gx)-x-3. Find the foilowing lock

A: To find the following expressions

Q: A tea shop owner is mixing a blend of two teas, one of which costs $6.50 per pound, the other…

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Q: Q2: Use Cramer's rule to solve 3x, - 0.1x2 0.2x, = 7.85 0.1x, + 7x2 - 0.3x3 = -19.3 0.3x - 0.2x, +…

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Q: Find the wronskian of f1= x2-6x, f2=x2+6x, f3= x2-3

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Q: B. Use Cramer's Rule to find the solution to 2x1 + x2 + x3 = 2x1 – 3x2 – 3x3 = 3 - - -2x1 – 2x2 +…

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Q: Let ƒ( θ) = θ3 - 2 θ + 2.Use the Intermediate Value Theorem to show that ƒ has a zero between -2 and…

A: Intermediate Value Theorem: Let f(x) be a polynomial function then intermediate value theorem states…

Q: Q4 Find x for all of : 2- y = 3 x(x-2) x+1 1- y = xvInx

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Q: Solve by using Cramer's Rule: -3x - 4y - 4z = -8 %3D x - 3y - 3z = -19 %3D -x + y – 2z = 3 %3D

A: The given system of equations is:

Q: Prove that ax² bx C + + (x − a) (x −b) (x −c) (x-b) (x-c) x-c -+1 x³ 3 (x-a)(x-b)(x-c)

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Q: Find the Domain (b) g(x) = In(x² –- x) %3D

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Q: (a) Show that (x2 + v2x + 1)(x² – v2x + 1) = x* + 1.

A: Given that: (x2+2x+1)(x2-2x+1)   NOTE: As per our answering guidelines, we can only answer 1…

Q: Use Cramer's rule to find only the value of x2 , where a is a positive real number. 2x2 – x3 + x4 =…

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Q: Use Cramer's Rule to solve for x2. xi + 2x2 +x3 = 2 3x1 – x2 - 2x3 = 7 X2 +x3 = -1

A: Here we have given one matrix and we have to find the value of x2 by using the Cremer’s rule.   Now…

Q: Solve the following using Cramer's Rule 2x - 4y + 5z = -33 4x - y = -5 -2x + 2y - 3x = 19

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Q: I. Find the value of X3 Using cramer's rule. Show your work *」+ 3xzt =ス Xit2X2=3

A: The objective is to find the value of x3

Q: Find the linearization at x = a. f(x) = 3x², a = 1 (Use symbolic notation and fractions where…

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Q: 12. Let f(x) = x + 2 and g(x) = x² - 1. Find (gᵒf)(4)

A: Given two functions 1.f(x)=x+2 g(x)=x^2-1 lets find g(f(x)) at 4

Q: ®2x + 5y = 0 3x - 2y = 19 || %3D

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Q: V21. Show that there exist constants M and N such that M||x||| < ||||2< N ||x|| -

A: Given ||x||1=∑i=1n|xi|=|x1|+|x2|+...+|xn|       ||x||2=∑i=1n|xi|2=|x1|2+|x2|2+...+|xn|2 Now we have…

Q: Prove that F (3x)(A → B) → ()A → (3x)B.

A: We have to prove, ∃xA→B→∀xA→∃xB

Q: Find all zeros. f(x) = x^4−x^2−30 f(x) = x^4+ 2x^2−15 f(x) = 3x^3−7x^2−7x+ 3

A: Since you have sent more than 3 sub parts therefore according to our policies we are bound to answer…

Q: Prove that ax² bx + (x − a) (x −b) (x −c) ¹ (x − b) (x − c) || x³ 3 (x-a)(x-b)(x-c) C +—+1 X-C

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Q: ) Show that |2x - 2|-|x+1| +2≥0 for every x € R.

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Q: Let ß be a positive real number. Evaluate L Bx-1 VxP + 3dx . (50+3 V50+3 - 2ß+3 /20+3 ㅇ 름(5v5-2v2) ㅇ…

A: We use substitution method to solve this integration

Q: Q1/ Find the inverse transformf(Es) FIS)=35+ 7 3²-25-3

A: We will break the expression using partial fraction and then use the inverse Laplace transform…

Q: relation

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Q: 2. Solve using Gauss-Jordan Elimination and check using Cramer's Rule. X1 + 5x2 – x3 = 7 4x1 + 3x2 +…

A: 2. Solve using Gauss-Jordan Elimination and check using Cramer's Rule. x1+5x2-x3=74x1+3x2+6x3=15

Q: True or False The domain of 1f # g2 1x2 consists of thenumbers x that are in the domains of both f…

A: The domain of (f·g)(x) consists of the numbers x that are in the domains of both f and g