Q6: Use Gauss Seidel Method to solve the following equations and choose your own initial guess: 3x1 + x2 + x3 = 10 X1 + 5x2 + 2x3 = 21 X1 + 2x2 + 5x3 = 30

Q: Find the solutions of the equation z4 = -4v3 + 4i .

A: First we  write the polar form of -43+4i  at -43+4i=rcosθ+isinθ                           where…

Q: Q5. Solve the difference equation: - Yn+2 2yn+1 + 9yn = 3" Yo=y₁ = 0

A: The characteristic equation is: λ2−2λ+9 Then λ=2(1)−(−2)±(−2)2−4(1)(9)​​=22±−32​​=1±22​i In polar…

Q: Solve using method of undetermined coefficients: y" + 3y = -48x2e3x

A: The solution is given as

Q: Find the general solution 2 y² + 3x²³ y=0

A: What is General Solution of ODE: The general solution of an ordinary differential equation is a the…

Q: Find the general solution of (D4+ 32D²+256) y=0

A:

Q: Solve M= ZD Q+Z for r.

A:

Q: x²dydx 2. Solve: S x²+y²

A:

Q: Solve by substitution : 2x - 3y = 4                                        2x + y = -4

A: We have to solve the equations by the substitution method.

Q: (b) Find a solution to the equation 426k+330l = gcd(426,330) where k and l are integers.

A:

Q: Solve for a : 33x+7 – 92a+5 x = 12 x = 2 x = -3 = 17 х— —17

A: We have to find the value of x from the given equation . I have explained in details please see the…

Q: Q9: solve x + 2z = 6 -3x + 4y + 6z = 30 -x - y + 3z = 8

A:

Q: If a*b = ab - b/a,  Evaulate: (i)  3 * 6 (ii)   2x ( 3 * 6 )   Solve the simultaneous equations:…

A:

Q: (4n8x3)-3 =         How do I solve?

A: For the negative exponent, we can make the reciprocal of the expression.

Q: a. Factor f(x) = 4x - 20x + 33x - 18, given that 2 is a zero. b. Solve. 4x - 20x + 33x – 18 = 0

A: a) we have to factor fx=4x3-20x2+33x-18, given that 2 is a zero. b) we have to solve…

Q: 3x Use "intersect" on the GC to solve (round answer to 4 decimal places): x³ - 7x² + 5 = −³+8 32+8

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Q: Solve the equation xz(z² + xy)p+yz(z²+xy)q = x² =

A:

Q: 2 A) 1-x- x² = 0 B 1+ x - x² = 0 1- x + x² = 0 1+x+x² = 0 without solving. determine which of the…

A: Topic = Quadratic equations

Q: a. Solve by back-substitution: 3x1 + 3x2 + X3 = 12, -4x₂-3x3 = -10, 4. 2x3 = = b. Solve by…

A: We will solve the system of equation by back substitution  and  forward substitution

Q: Q: Solve: ax + by = c bx + ay = 1 + c

A: Firstly , find the value of 'x' and substitute in other equation .Therefore, the other equation is…

Q: EXC :- solve By Gauss -Jordar NO (1) :- 2X1+2 X2 – 2X4 = 4 4X2 +2 Хз -4X4 — 6 -X2 + X4 = -4 -3X3 +…

A: Given equations are  2x1+2x2-2x4=4 .........(1) 4x2+2x3-4x4=6 ..........(2) -x2+x4=-4…

Q: a. Solve by back-substitution: 3x1 + 3x2 + x3 = 12, -4x₂-3x3 = -10, 2x3 = 4. b. Solve by…

A:

Q: Solve the given equations by crammer's rule  2x - y = 17 3x + 5y = 6

A:

Q: Solve the following equation: (4ka +4a +1)(k +1)= 4k² – 7k – 11, for . a

A: Open the bracket and seperate the term contains a.

Q: 3. Solve for x: 2log,(x+ 2) = 20 4. Find the solution of the given quadratic equation: 3x? + 5x + 12…

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Q: 4) Solve for x. Verify that your solution is correct using substitution. – 12) + 3x = 24

A: The objective of the question is solve the given equation and verify .

Q: 4x-6y=36 X=-6 Solve using substitution method

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Q: 2x2 + 3х- 5%3 0

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.