Simplify and state the restrictions on the variable. a) x + 15x 4x + 24 3x Зx + 18 6x 9x b) 8x - 72 2x 18 x + 15x + 26 х — 3х- 10 c) 6x 30x x + 11x + 24 8 d) x + 2x - 3 х — 1 - 1

Q: If 2x + 3y = à and -x + 5y = 6b, express x and y in terms of à and b.

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Q: Find mZVUZ if mZZUT= 16x + 2, | MLVUZ = 24x – 1, and mZVUT = 16

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Q: By using the substitution u = x3", ir

A: Given, by using the substitution u=x3n, then   To find:   (1).   ∫nx3n-1ex3nex3n+8dx   (2).…

Q: Show that 1 1 1 x2 y? z2 (y² – a²)(z² – a²)(z²? – y²) - - ,4

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Q: serves conv 1, then its a

A: Concept:

Q: 1. Write out the dual of: a. Min 3xl + 2x2 + x3 s.t. xl + x2 - x3 = 4 2x2 + x3 < 7 -xl + 3x2 2 6 х1,…

A: The given LPP is: Min 3x1+2x2+x3 Subject to x1+x2-x3=42x2+x3≤7-x1+3x2≥6x1,x2,x3≥0

Q: Simplify as much as possible. V3yu +2uV 12y Assume that all variables represent positive real…

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Q: Which expression is equivalent to 2x +8x - 25x -6x+14 , x+6 86 2x +4x +x-12+ x+6 2. 2x-4x-x+14 14…

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Q: Solve for u. u/2 + 3u/4 = u/8

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Q: stlons 18 and 19. actor completely. 18x +3x -6x

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Q: Is the equation Ax = b consistent for all b in R^3? Explain.

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Q: 5. Show that b, is always positive, by establishing the equation (Qn-1,Qn-1) (Qn-2,Qn-2) b,

A: We will apply the properties of inner-product to prove the given statement.

Q: , x); R = [0, -) D) D = (-, x); R = [-10, -)

A:

Q: 5. If CG-10x +9 and GE = 18x-7, find CE. %3D CE-3

A: Explanation and solutions is given below.....

Q: Select all equations that are equivalent to x2 + 6x = 16. O x² + 6x + 9 = 0 O x2 + 6x + 9 = 16 O x2…

A: Use the formula x2+2xy+y2 = (x+y) 2

Q: The statement "x 2 4 and 2x – 4 < 6" is true when x is equal to (1) 1 (2) 10 (3) 5 (4) 4

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Q: on Ax) = %3D , as x →-o? x - 6x + 5 ' .2 - 6x+

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Q: If x = -2, then x2 +5 = 9. x2 + 5 = 9, SO X = -2. %3D true false

A: We will solve the 2nd equation to check whether it is true or not.

Q: Find a and b such that -12 %3D -2 -6 -3 - b=

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Q: @IF a=(2, -13) und L14,2,1) Find axb and bxq.

A: According to guideline we should able to do only one question at a time #1

Q: Find |12u -3vV|| , given that u and v= (Approximate answer to 2 decimals)

A:

Q: Even: 2QWT and ove: x = 28 Statements ZQWT and TW; complementar EQWT + MLTW 2x +x + 6 =9 3x + 6= 90…

A: Given that: ∠QWT and ∠TWX are complementary angles.

Q: verify that (A + B)C = AC + BC

A: To verify that (A+B) C = AC + BC.

Q: 8) Find x if mZTUV 70°, mZDUV 6x, %3D and m2TUD= 4x+ 10. %3D D

A: Given  m∠TUV=70∘m∠DUV=6xm∠TUD=4x+10

Q: does the eqations |2x+1|=|3x+4| and |2x+1|=3x+4 have the same solutions

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Q: Find x if BC=1,AC=x+5 and AB=2x-2

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Q: 1. Show that (a) exp(2±3лi) = -e²; (c) exp(z+лi) = - expz. πί p ( ² + 7² ) = √ = (1 + i); 4 (b) exp

A:

Q: Solve the congruence x^3+19x^2-x+ 23= 0 ( 21).

A: In b) we need to solve the congruence  x3+19x2-x+23=0(21) this equation is in modulo 21 so by using…

Q: Select all the equations that are equivalent to 8k= 20. %3D 8k - 4 20 +4 O 8k X 3= 20 X 3 O 8k X 5=…

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Q: хах can be solved by either algebraic subsitution or integrataion by parts. x-1 (A) True B) False

A: To determine whether the given statement is True or False.∫x dxx-1 can be solved by either algebraic…

Q: 2 then show that |2A-4|A If A- 4 2

A: We have to verify that 2A=4A where A=1242 and A is used to denote the  determinant of the matrix A.…

Q: Using the fact that in U39, [4]1 = [10), find [16]–1.

A:

Q: х, — Зх, — 2х, %3D0 3x2 2x3 = 0 —х, + 2х, + х, 3D 0 X3 = 2х, + 4x, + 6х, = 0

A: Here we will solve the given equations by Gauss-Jordan elimination,

Q: 1. Rewrite in terms of simpler logs (expand): lo9. x5z64 y24

A: given: logax5z64y248 therefore, logax5z64y248=logax5z64y2418=logax5z6418y2418           because…

Q: 3. If mCB = (5x + 41), mAD = (7x-19), and mzAED = 89, find mAD. %3D B.

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Q: 25. If ā = -j and b = 2x +5y, express and y in terms of ā and b.

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Q: Express by ¡y; in the terms of x variables where y; = C¡¡x; and bicik = 8k.

A: Given equations as yi=cijxj and bijcik=δki

Q: If 7-4/3 = Vx-Vy, determine the values of x and y. %3D

A: We have to find the values of x and y from the above expression.

Q: show that (AB)-1 = B-1A-1

A: Given matrix A has a order of 2x2 while matrix B has a order of 2x3.

Q: 12,,28 Simplify: V32r"y²z°.

A: The expression:  32 x12y2z85

Q: min 40x, + 30X; ニ 281 t X2 z 20 2xx + 3x2 2 30 X,, X ZO

A: We have to minimize the objective function Z=40x1+30x2 with the given constraints and x1, x2≥0 using…

Q: If 41 and /2 are complementary, m/1-(5x + 15)° and m/2= (3x - 21)°, then m/2- %3D %3D

A: Here we are going to solve only question number 7 and for the remaining question post the question…

Q: The value of x such that 8x+4, 6x-2, 2x +7 will be consecutive terms in an AP is

A: If a, b, c are consecutive terms in an AP then 2b= a + c

Q: Find the number of integer solutions of X +x, +x, = 10 subject to the conditions given. a. 저20,%…

A: Integer solution

Q: If (x1 , y1) = (-3, 1) and (x2 , y2) = (-2, 4), find (y2 - y1) / (x2 - x1)

A: Given, x1, y1=-3, 1x2, y2=-2, 4

Q: 4) Simplify and state any restrictions x+1 a) *+¹ ÷ x+1 2x x 6x + 9x 8x-72 2x-18 c) x+12 x+12 b) +…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Find a,b,c (if possible) so that 2x^3-9x^2+8x-2=(2x-1)(ax^2+bx+c)

A: The given equation is,

Q: If A = } and 8 - I 2 5 %3D B = 4 1 -3. 11

A: