For the following set of simulataneous equations: 1.5x - 0.5y = 2 4x + 2y + 3z = 9 7x+ y + 5z = 10 u O equations are incompatible O finite number of multiple solutions exists O solution is unique O infinitely many solutions exist

Q: 1.Solve simultaneously for x and y xy = 9 and 25x - 2y -3 =0

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Q: The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have O a unique solution O infinitely many…

A: For given equation,             a1x + b1y = c1             a2x + b2y = c2 Case 1          For…

Q: ). Find the complete solution to 1. 2 3 1 1 [1 -17 X2 X3 %D 3. 4 3 X4 [4 4 5 0 X5.

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Q: Select ALL of the solutions: -8r (3z - 5) (r + 25) (r² – 12) = 0 Ox= 8 O x = 3/5 O x = 5i O x = -8 O…

A: We need to evaluate the solution of the following equation : -8x3x-5x2+25x2-12 = 0

Q: 5x 7y %3D a. 5x + 7y = O Infinitely many solutions O No Solution O Unique solution - 5 7x b. 3y 19x…

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Q: 1- use Gauss Elimination to solve the following set of equations: 3x-y+z=-2 x+5y+2z=6 2x+3y+z=0

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Q: 1. Find the general solution of (2x + 3)y' = y + (2x + 3)ž a. y = v2x + 3[C + In(2x + 3)] b.y = (2x…

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Q: Consider the IVP: x" + 3x' +2x = 4t2; x(0) = 0, x'(0) = 0. Find the general solution. 4 6. 7 + s+1 8…

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Q: 6z + 4y = -8 %3D O (0, -2) 1(5,9) O (1,0) O Infinitely Many Solutions O No Solution • Previous

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Q: 1 To find the number of toys a company should manufacture per day to optimally use their…

A: Given : 0.33330.16670.66670.16670.66670.33331.05-10x1x2x3=75612600

Q: Which of the following is a solution of the following equation valid near the origin for x>0? x²y' +…

A: heresolution y=9c'-6c'x+2c'x2+c"e-3xx2when x>0 but near to 0then e-3x→1theny=9c'-6c'x+2c'x2+c"x2

Q: 4. As an engineer and a scientist, a research has been conducted and the problem has been modeled…

A: We will find out the required maximum value for given objective function.

Q: a) Give a particular solution for y" – 2y' + y = 3e*. b) Give a particular solution for y" – 2y' + y…

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Q: The solution to y² – 1 = (x – 1)(x – 3) is %3D a. There are no solutions O b. (1,1) only О с. (1,1)…

A: We are given the Equation: y2-1=(x-1)(x-3) Starting from the last Option, we will check the options…

Q: The solution of the given equation (1+x²) y' + 2xy = 4x² is: O y=[(4x^3)/(3(1+x^2))]+C(1+x^2) O…

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Q: Determine the particular solution. O y = 2e-x/2 3 - 4ex 3 y = 4e-(x/2) 3 + ²ex 3 O y = 4e-(x/2) -…

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Q: 6. Solve the following system of equations 10x1 – 2x2 – x3 – X4 = 3 -2x1 + 10x2 – x3 – X4 = 15 -X1 –…

A: Given - The system of equations are - 10x1 - 2x2 - x3 - x4 = 3-2x1 + 10x2 - x3 - x4 = 15-x1 - x2 +…

Q: 4) Find the general solution of the 2nd order PDE 2и. - Зи,, +4и, 3D10 6) +** s (3x +2y) answer:

A: Given : 2nd order PDE       2uxx-3uxy+4ux=10                 --------- (1) To find : general…

Q: 1 1 4, then the particular solution is (). b.

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Q: y(4) + 3y" + 2Y = 0

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Q: Find a general solution of the following. Q4 -3 1 -6 @v-[!] + [1] - *. (1) y'= у+ e 1 -3

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Q: 4 Find the general Solution of the following PDES • з Их + 2 Иу -Х u(x,c) =4е 2 (зу-2х)12 ans3- и(x,…

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Q: Find the general solution of Зx(у - 4) x2 + 3 1+ (x² + 3)3 1- (x² + 3)3 a) Oy = 2 + 2C(x2 + 3)6 b)…

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Q: Find the general solution of y'=x-2y O 4y=2x-1+Ce^-2x O 2(x+2)^-1 + c(x+2)^-4 x=y^2 -1+Ce^(-y^2) O…

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Q: 4x3 y = x", y(0) = -3 and choose the correct answer from the followir x4 +2 Solve the initial value…

A: Note-  Acc. to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: For #1-10. Solve for the particular solution of the following non-homogeneous DE. 1. y" + 4y' + 3y =…

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Q: Which of the following is a general solution to the following 4x3y"+4xy'+ (4x²– 25) y=0 O…

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Q: 3. Find the complete solution of: y" - y' + y = 1 with y(0)=a & y'(0)=ß

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Q: 5- Solve the following linear algebraic equations using the Gauss elimination method: 3x, -2x2 +7x3…

A: Algebra Question

Q: 1. Find the solution of the IVP; 3y" – 11y' = 2x³ – 5x + 1 + 4y %3| - - y(0) = –1. %3D y'(0) = -2…

A: Given initial value problem is  3y''-11y'-4y=2x3-5x+1 with y0=-1; y'0=-2. Consider the homogeneous…

Q: The equation Yk+1 – Yk = 1 - k+ 2k3 has the particular solution k-1 k-1 k-1 k-1 J:-Σα-i+ 26) Σ(1)…

A: yk=12k4-k3+32k+A we know that Bernoulli Polynomial is…

Q: 4. Find the solution of the following DE: a. y(5) + 5y(4) + 10y(3) + 10y" + 5y' + y = 0

A: Given differential equation is: y5+5y(4)+10y(3)+10y''+5y'+y=0 Write auxiliary equation corresponding…

Q: Find the general solution of the following DE. y' = 3 (y + 1) O y = 3ce³x - 1 Oy = ce³x - 1 Oy =…

A: y' = 3(y+1) dy/dx = 3(y+1) dy/3(y+1) = dx dy/(y+1) = 3dx now apply both side integration

Q: 2 Given 0 4 = 16, solve for y -1 y O 1 O 2 O 3 O-3

A: Expand the determinant along that row or column which has maximum number of zero. In given question,…

Q: = 2 y" + y = 0, y'(0) = 0, y' () 2 ||

A: We have to find the particular solution of the given boundary value problem   y''+y=0,  y'(0)=0,…

Q: 1 Which one of the following is the particular solution of the system = 4 X+ 2t-50 3 -4t-47 OA X, =…

A: The solution is given as follows Ans : ( D )

Q: I need explanation for all the highlighted equation pls.

A: 1). Given,

Q: general solution to (x2 + 1) y′′ - 4xy ′ + 6y = 0 (x2 + 1) y″ −4xy′ + 6y = 0 is given by Select one:

A: (x2+1) y" -4xy' +6y=0Let y = ∑h =1∞n an xn be the solution theny' =∑h =1∞ n an xn-1  , y" =∑n=2∞ n…

Q: Consider the following set of equations x+2y = 5 4x+8y 12 3x + 6y + 3z = 15 This set (a) has a…

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Q: 5- Solve the following linear algebraic equations using the Gauss elimination method: 3x - 2x, + 7x3…

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Q: a1 A solution of a DE which is not exact and falls under Case 3 i.e. can alone be solved by a2 DE…

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Q: can you find a particular solution for this   y'' -4y'+ 4y = 2x*e^(4x)

A: The given equation is the second order linear, non-homogeneous ordinary differential equation has…

Q: 3. у" - бу' + 9у 3D 5е3х

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Q: 1 1 1 1 2. -1 1. A = -1 2 1 1 3 3 2 0. -10 0 -10 -5 0 0. 2. B = 10 2. 4 -5 -4 --2 From the given of…

A: To find [(AB) ^-1]^T

Q: 9. Find the general solution of (2ху - у? +у) ӕ+ (3x? — 4ху + 3х) фу - 0 А. хtу?(х - у + 1) 3D с В.…

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Q: Find the general Solution of the following PDES ди -5X -3x 17 9 = 2 ди +u, ucx;o) = ду + 2 е ax…

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Q: 2) Consider the following system: x + by = 9 a₁x + 9y = -27 Determine the value(s) for a for which…

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Q: and the general solution of the following equations: f y'+(4/x)y=x* ---by linear method

A: Topic: application of integration and differential equations

Q: Which of the following is a solution of the following equation valid near the origin for x>0? 2x2(1-…

A: There are two solutions , from the given options we choose one of the solutions.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.