1 Solve the following linear equations by the use of the Cramer's rule (a) 3x1 - 7x2 - 2x3 = -7, -3x1 + 5x2 + x3 = 5, %3D 6x1 - 4x2 = 2. (b) X1 - 2x2 +3x3 1, %3D -x1 +3x2 - x3 = -1, 2x1 - 5x2 +5x3 1. %3D

Q: Which one of the following equations has exactly one distinct solution? O (x-4)(x+ 4) = 0 O (2x +…

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Q: Show that the equation x+y* : integer. 100 has no solution when each of x and y is a positive

A: To show x4+y4= 100 has no solution when each of x and y is a positive integer.

Q: 3x: - 2x2 + 2x3 = 0 6. Solve *, + 2x2 – 3x3 4x1 + x2 + 2x3 = 0 = 0. by Cramer's rule

A: Given that  By solving the equations by cramers rule

Q: Expand and simplify to express each equation in standard form. [2, 2, 2, 3, 3, 2] a) y = (x +5)(x +…

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

Q: 6 Solve for X 3.6.1 2x-17 = 83 3.6.2 5(x+1)= 2(x+7) 3.6.3 4(x+2) = 16+ 2(x-1)

A: as per bartleby guidelines i can solve only first three

Q: - 6(7q? – 4q + 1) + 5(- q² + 6q - 6)

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Q: 8) Multiply: (2a-3)(5a + 1) a. 10a²-3 d. 10a²13a-3 b. 7a²-2 e. 10a²-6a-3 c. 7a²-5a-2

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Q: (5 + y)(4 + y) = (6x + 2y – 4) + (2x + 2y + 10) = (x – 3)(x + 3) =

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Q: frved 4x-5x-15 de

A: we use to solve this integral by using partial fraction method

Q: Which of the following equations is incorrect? L· (M × Ñ) = Ñ · (M xI) W × ( + P) = -(ỹ × W + P × W…

A: Consider the vector. X→×Z→×Y→=X→·Y→Z→-X→·Z→Y→

Q: solve this linear equation using cramers rule x+ y−z=0 2 x−3 y+z=1 2 x+ y+2 z=7

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Q: Put the equation y = y = - 3(x + 2)² + 5 into general form y = ax² + bx + c.

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Q: Solve (D4 + 2D² + 1)y x cosx +3*

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Q: V(A - B) = A x (V x B) + B x (V x A) + (A - V)B + (B V)A,

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Q: Determine if b [3] 312 1 is a linear combination of a 1 = ------- 0 a2 1, and a3 = 2 6.

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Q: (7a - 5b + 2c)- (-6a+8b - 4c) (7a - 5b + 2c) - (-6a+ 8b – 4c) =

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Q: (-4y2 - 3y + 8) - (2y2 - 6y - 2)

A: Consider the given function and simplify the given expression. −4y2−3y+8−2y2−6y−2 Remove the…

Q: Find det(B)

A: Given that: det-1A-1=-5=detA3B-1T-1A-1=-5=A3B-1T As we know, detkM=kndetkM and detM=1detM-1. (Here,…

Q: Solve (D+2)x+ (D+6)=0 (2D+3)x+ (3D+8)=0 Ye=C₂X- (C₂/2X) Option 1 X(t)=-2d; e5d2e-lt Option 2 X(t)=…

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Q: О x₁ - 2x2 - x3 + 3x4 Х1 -2x₁ +4x2 + 5x3 - 5x4 3x1 - 3x2 - x3 + 4x4 X1 +x2 - 3x3 - Х4 = 0 3 2 -2

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Q: Can you solve it using Cramer's Rule

A: Solution:

Q: 2x- 3x-2 6x + 3x? + 2x+1 2x- 3x-2 6x + 3x + 2x+1

A: Explanation of the answer is as follows

Q: 6. Simplify. a) (2x - 3x2- 6) + (6x – x³ + 4x² + 5) b) (x² – 4)(2x² + 5x - 2) c) -7x(x² + x - 1) –…

A: Given that -

Q: Solve using Cramer's rule -4a+2b-9c=2 3a+4b+c=5 a-3b+2c=8

A: Cramer's rule is used to solve a set of linear equation

Q: Q4 (a) Find 2dx x2 + 8x + 17

A: Basic indefinite integral problem

Q: Find the value of each of a,b,c so that 6x3 − 7x2 − x + 2 = (x − 1)(ax2 + bx + c)

A: Given equation is : 6x3-7x2-x+2=x-1ax2+bx+c To find the value a, b, and c

Q: Find a and b if a + (5 – 3b) i = ai + 2 (b + 5)

A: See the attachment.

Q: + %3D 5 -11 3z -4 N N N

A: 2w+3x-4y+z=9...........(1) w-3x+y-z=5.................(2) -2w-x-3y+z=-11........(3)…

Q: √4x²(x³-5)ª dx = Ox³(x¹² - 25x¹ +250x6 - 1250x³ +6250) + c 12 15 O 16(x³ - 5)4 + c ○(x³ - 5)5 + c…

A: To evaluate ∫4x2x3-54dx Formulae used d(xn)=nxn-1d(constant)=0∫xndx=xn+1n+1+c

Q: 3(z+5)=12

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Q: If Ax) = Vx -1 and g(x) = x+ 1, which expression is equal to fAg(x))? 1+ー1 Wx²+2x (x + 1) - 1 ベズ+x-1

A: Solution:

Q: (9) [xV1-2х dx

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Q: The equation in the form Ax + By = C (-6,3) and (0,-2)

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