4m+16m² 15. (3a-a+ 3) + (4a? - 5) 16. (5w3 – w + 2w² + 4) + (3w2 + 1-4w) E (2r + 3y-)- (x² – y2 – z²) + (4x² – 3y²) 18. (12 + 8k3 + 3k - 4k²) + (5k³ + 15 -k + 2k2) |

Q: V9x3 57x2+96x +48 Q8 Compute limao 125 +37x4 +50x3 +145a2 8x-12

A: Consider the given expression for which limit has to be calculated:

Q: Solve the system.

A: Given: 3x+y-2z=-1          2x-3y+z=4 4x+5y-z=-2 The solution of the given system of equations can…

Q: 3 2 х—5х +6х —18 4 - dp- x²-3x? 2 х —Зх

A: *to solve the given integral using partial fraction.

Q: X1- X2 -X3 +. 3) х — у + 2z — и %3D- 1 2х + у — 2z — 2w %3D-2 —х + 2у — 4z +w %3D 1 Зх — Зw %3D —3

A:

Q: 3) Chain rule: y = (3x2 - 3x- 2)2 1/2

A:

Q: 3. x2 + y2 + 100x + 4y -3 = 0 4. 4x2 + 4y2 - 20 x + 12y- 2 = 0 5, 3x2 + 3y2 - 12x - 6y-30 0

A:

Q: Use matrices to solve the system.

A: We solve the given set of equations using Gauss Jordan elimination method. At first we write above…

Q: 3.6x₁ + 15x₂ + 55x3 = 76_(Use Cholesky Method) 15x₁ +55x₂ + 225x₂ = 295 55x₁ + 225x₂ +979x3 1259…

A:

Q: | (8z + 4z³ - 6z²) dz? O 16z²+z4-2z³ + C O4z²+z4-22³ + C 16z²+z4+ 2z³ + C O 42² +224 + 2z³ + C

A: Solution: ∫8z+4z3-6z2dzApply the sum rule=∫8zdz +∫4z3dz -∫6z2dz

Q: v - 2w + x + 2y – z = -52 6v +3w- 2x + 4y – 3z = 57 -v + 2w – 3x + 4y – 5z = -365 8v + 13w – 2x + 8y…

A:

Q: use an inverse matrix to find thesolution to the systems.

A: Note: Since you have posted multiple questions we will solve only first question for you. If you…

Q: BY ELIMINATION x^2 + y^2 = 4 x^2 - y =4 Find solution/s. * O (2,0) (-2,0) (1.73,1) (1.73,-1) O…

A:

Q: -3 5 6 1 2 12 -2 -51x11 -7 X2 x2 9 X3. 4 -8 -10] -1

A: We can solve this using given information

Q: 3x 15)- x+4 12 2- x+4 3 4 16) x-3 x-2 x-3' 17)s[x-(4x - 5)]=3-2x, 18)6[3y- 2(y-1)]-2+7y 0,…

A: Find the attachment

Q: P(x) = 8x + 26x - 67x + 15; a = -5, b = 2 = -5: -5 8 26 -67 15 e the row containing the quotient and…

A: Topic:- polynomial

Q: 6. x + y + z = 7 x - y + 2z = 7 2x + 3z = 14 7. -x - y - 2z = 9 - 2x - 2y - z = 1 -x - y + z = -10

A:

Q: how that this model has an unbounded solution by Big M Method. Max Z= 3x1 + 6x2      s.to 3x1 +…

A:

Q: 2x + 6y = 4 5x + 15y = 10 Substitution method Please start with y = 4-2x/6

A: Given :2x + 6y = 4    5x + 15y = 10

Q: v – 2w + x + 2y – z = -52 | 6v +3w- 2x + 4y – 3z = 57 -v + 2w – = -365 3x + 4y – 5z 8v + 13w – 2x…

A:

Q: 2. Determine the equation (in factored form) for a quadratic function with roots 3 +3/2 and a y…

A: The y -intercept of a graph is the point where the graph crosses the y -axis. That is x=0

Q: 2. y" - 3y' +2y = e4x + 6x³ – 2+ 3sin(4x) | |

A: See 2nd step

Q: 3. 3k + 45 8k + 25 5. Sq + 6 = 2g- 2 + q %3D

A: Given,3k+45=8k+253k-8k=25-45-5k=-20 k=-20-5k=4therefore,k=4

Q: -4x-y=-18 4x+5y=10 Use elimination method

A: We have to solve

Q: 19 Min Z= 2X1+3X2 S.t: X1 ≥ 125 X1+X2 ≥ 350 2X1+X2 ≤600 X1. X2 > 0 Using the simplex method, In the…

A: We have to use the simplex method to find the table of optimal solution. First we have to convert…

Q: u-8 v- 12 w – 16 2 3 4 Find the value of 4x 4y 4z if it is known that u v w = 9. 2 3 4 ху z .....…

A:

Q: 4x - 3y + z+= 7 2x - 5y - 4z = 3 3x - 2y - 2z = 7   Looking for equations with 3 variables.

A:

Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

A:

Q: Use matrices to solve the system.

A: 2x-3y+z=23z+2y-z=-55x-2y+z=0 The given system can be written in matrix form as, A=2  -3     13     2…

Q: 2. y" - 3y' +2y = e4x + 6x3 – 2+ 3sin(4x)

A: The given differential equation is  y" - 3y' +2y = e4x + 6x3 - 2 + 3sin(4x)

Q: 3-2t %3D 5t-15 t+2 10. 3t-9 19-t 15-t b. 15 (-3) 3t+8 5-t a. 15(t-3) C. 15 (t-3) 8(t-3)

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: general solution of (D² - 5D + 6)y = 4eˉˣ using method of undetermined coefficients.

A: First we find complementary function then find particular integral.

Q: 2) (22-4x-D | S (3x+12x -15) 3 2dx (4) 2dx x(3(Inx)*+121nx-15)2

A: Explanation of the solution is given below...

Q: ubstitution method -2x-y= 9  x+ 7y= 15

A: From the given equation: -2x-y=9-2x-9=y...1 And x+7y=15...2 Now substitute the value of y from…

Q: Use matrices to solve the system.

A: x+3y-z=-3  3x-y+2z=12x-y+z=-1

Q: Substitution Method (15) (x² – y²) - xy = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: x+    z+2x  =6 {y-2x           =5 {x+2y-z       =-2 {2x-y-3c-2x =0 Can you show any amount of work…

A: Note the system you have provided. Seems to be wrong. I provide justification for this. From there…

Q: x²-12px%=D6p(x-22 %3D 2.2.1 5a2 -2'5 b2 -5(a²-5b²) ー4 (at2) (x +2) %3D 2.2.2

A:

Q: -ys2x²+x-1 1. _2. y2x²+3x-4, (-1,-1 3. y2x²+5, 5. y>1-x+2x?, (1,1) (0,1) (1,10 (5,1)

A:

Q: 11. fAx)=(4x -72 +2) - (9x +3x -7x) (a) 1 (b) 2 12. fx) = (-2x -4x+1)(5x -7x +2xr-1) (c) 3 (d) 4 (e)…

A: 11: Given polynomial is: f(x)=(4x4-7x2+2)-(9x2+3x4-7x)f(x)=x4-16x2+7x+2

Q: 5. x2 + y2 +8x + 20 = 0 6. x2 + y2 -32x - 20y +352 0 Center : and radius: Center : and radius:

A:

Q: Elimination of arbitrary constant 3x2y - mx = 3

A:

Q: 4 0 A-l = %3D 4 -1 and 2 5 B-1 = -3 -4 (AB)-1

A:

Q: 2 2 (D²-10 DD²+ 3D²D-7D²-705 +12D) z = 0 Z

A:

Q: 2х - 5у +z%3D10 Z. —х+3у = -4 x-2y+2z = 9

A: Given: 2x-5y +z = 10 -x +3y = -4 x -2y+2z = 9 To solve: The system of equations.

Q: 4. y = (4x – 5) e² ²-2z+1 -2r+1 5. y = a(10z²–8z+7)

A: As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The Product rule:…

Q: 9. Method of undetermined coefficients * y" -y = 3e*

A:

Q: للحذف 4- حل النظام الخطي بطريق كاوس – جورن * 2х + 3у-z %3D 5 4x + 4y – 3z = 3 -2х+ 3у -z = 1

A:

Q: Q.3// Find the optimal point from the mathematical model (by graphic methods): Max Z= 3x1 + 6x2 s.t.…

A: First We will Draw the Feasible region bounded by given constrain then by finding the value of the…

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.