5. Solve. a) 6y-8 = 4y + 10 b) 4= m +3 ) 4-블=5+플 d) (x-3)(x- 2) = 0 g) x +x-20 = 0 e) (2x + 5)(3x – 1) = 0 0 x2-x-2= 0 i) 6x2-x-2 0 h) m2 + 2m- 15 = 0

Q: 4 There is one value of x for which the equation y = has no ordered-pair solution. What is that…

A: Given,         There is one value of x for which the equation is y=4x-7 has no ordered pair…

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A: This question is related to trignometry, We will solve it using given information.

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A: Differentiation of the given function helps to find the required derivative du. Apply the…

Q: 7 --y2 Then 2 5 Q2: If z = –x² az + 5x ду az 7y ||

A:

Q: (1,6) and perpendicular to 2x+7y=1

A:

Q: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent

A: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent  We use Cramer's…

Q: Solve these simultaneous equations: 1. 3x + 4y = 15 2x + 3y = 11 2. 5x -4y = 21 3x + 5y = 20…

A: According to our guidelines, In case of questions with multiple subparts we are supposed to answer…

Q: 6, Solve the IVP 3w" -u'+ 2u0. u(0) = 2, u'(0)-0

A: The given equation is; 3u"-u'+2u=0, u(0)=2,u'(0)=0

Q: 10 -6 -5 -4 -3 -2 -i 0 23 456 -1- -2 -3 of equations: y =x 3.

A: From the given data: The system of the equations are: y=x y+1=2x

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A: tan x = perpendicular / base

Q: 54, find r such that the m 5a. A -[ 3 -3 -2

A: A matrix 'A' is equal to its own inverse when  A2=I where I is the identity matrix.

Q: Show that Ax)=3x²-1 and g(x)=35x*-30x²+3 are orthogonal to each other on [-1, 1].

A:

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

A:

Q: Show that the equation (1, 2, 3) × v = (−1, 2, a) has no solutionfor a = −1

A: Consider the given: Given equation:1,2,3×v=−1,2,aLet v=x,y,z1,2,3×v=ijk123xyz…

Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

A: Given a+b=120 .....1

Q: = Express by ¡y¡ in the terms of x variables where y; = C₁jx; and bicik = 8%.

A: express bijyiyj in the terms of x variables where yi=cijxj             ...i and bijcik=δik…

Q: A man launches his boat from point bank of straight river, 2 km wide, wants to reach 1 km downstream…

A: Let the man lands at some point D at a distance of x from C where x can also be 0 and 1 KM which…

Q: Use Cramer's Rule to solve the system. { 9x = -15 У + 3z = 7x 4 Зу + 9z % 45

A: According to Cramer’s rule, the solution to system of equation is given by,

Q: Prove that the equation 3x² – 3x + 2 = 0 has a solution on interval [0; 1].

A:

Q: A cube has four diagonals. Show that no two of them are perpendicular.

A: Given: A cube has four diagonals.

Q: A man launches his boat from point A on a bank of a straight river, 1 km wide, and wants to reach…

A: The solution is given as follows :

Q: 2/3 Lal(2x²4). (2x+3 3

A:

Q: Consider the problem: Min 10+ x² + y² subject to 2x² + y² ≥ 2, x ≥ 0 and y ≥ 0. x,y 1. Suppose that…

A: Introduction: When a multi-variable function is to be extremize, Lagrange's multiplier method is…

Q: Prove analytically that the sum of the squares of the four sides of a parallelogram is equal to the…

A: Apollonius's theorem   for triangle ABC with M being the midpoint of BC, the following equation…

Q: 2. If 4x² – 9y² = 27, show that y" 9y5

A:

Q: prove using the IVT. 2x + 3x = 4x has a solution.

A:

Q: Solve the IVP: X' = AX, where --() 3 1 0 2 -1 0 0 A = 3 and X(0) = -1 2

A:

Q: Find the eu. f line through the Pont (-2,3,4) and Parallel to e Planes: 2x +3y +42-5, 3X+4y+52 - 6…

A:

Q: 4. Use th shooting method to solve 2+ 1 y(0)- 1. y(2) = 1.

A: Given: The given equation is y''=y22+xy(0)=1y(2)=1

Q: 18. If mZP = (4x-1) and mZR = (12x – 27)', find mQPS. %3D %3D

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: 2. Suppose that A, B, and C are three approximations for - a² – y²) dA for D = [0, 2] × [0, 2] and…

A: Given that A, B and C are three approximations for  ∬D4-x2-y2dA                   (i) For D=0,2×0,2…

Q: Show that: х-1 - B(x-1,y+1)= B(x, y)

A:

Q: 13. -(р — q) -рл-а 14. (р — q) л(р — г) %3D р — (q л г) 15. (р — г) л (q - г) %3 (pvq) — r

A:

Q: Find the equation of the line: -6 -5 -4 -3 -2 -19 12 34 5 6 -2 -3 O y = 3.5x O x+y=3.5 O x= 3.5 O y…

A:

Q: Solve y"+y' + y = 6sin (2x) supo

A:

Q: Find Vrand Viif Vi+2Vz=31-kand 3Vi-Vz sititk-

A: Given v1+2v2 = 3i-k  .........(1) 3v1-v2 = i+j+k  ......(2)

Q: Consider the problem: Min 10+ x² + y² subject to 2x² + y² ≥ 2, x ≥ 0 and y ≥ 0. x,y 1. Suppose that…

A:

Q: 12,,28 Simplify: V32r"y²z°.

A: The expression:  32 x12y2z85

Q: 3. Is (3,8) a point on y = 3x - 1?

A: if (3,8) is a point on the line y =3x-1 then it should satisfy the equation y =3x-18=33-18 =9-18 =8…

Q: Express in terms of i. V- 4

A: -4=-1×4=-1×4=i×(2)=2i

Q: Show that: If Iz| = 1, then: %3D z3 + 4z? – 4| Im < 3 z + 4

A: Since |z|=1 Let z=r(cos∅+isin∅) ⇒|r(cos∅+isin∅)|=1 ⇒r=1 Now

Q: Determine the equation of the line passing through the points (4,−5) and (5,−5). Express final…

A:

Q: Solve for x and y. y 12 32 Ox = 18, y = 20 O x = 16, y = 34.18 Ox= 16, y = 20 O x = 18, y = 10.58…

A: From the given figure, find the value of x and y.

Q: O Express : 2 as a linear combination of

A: By using definition of linear combination

Q: show that the lines メ-2 = 3-2 モ-3 and %3D 9-3 X-2 = intersect. %3D 2 th

A: Here we will show that given lines are intersecting,

Q: man launches his boat from point A on a bank of a straight river, 2 km wide, and wants to reach…

A:

Q: Prove that equation x^2 + y^3 = 60 does not have any positive integer solution. Prove by…

A:

Q: Prove Formulas (1) - (9) Differentiate y = √3x². - 1 √5x = = (3x²)¹/³ – (5x)−¹/2

A: