Z-1 %3D ,then prove that x2 + y? = (x-1)2+y2 (x+1)2 +y2 (1) If Z %3D Z+1

Q: 3x2+ 7x+28 A f (x) |*+ A x³+x²+7x Using Partial Fractions in evaluating dx, the decomposed fraction…

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Q: 3x²+ 7x+28 A f (x) Using Partial Fractions in evaluating -dx, the decomposed fraction is - x3+x²+7x…

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Q: 3. Evaluate the following using partial fractions. Show all necessary solutions. x2 + 8x + 4 dx x4 +…

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Q: lim 4(x + Ax)3/2 - 4x3/2 Ax Compute Ax-0 O A. 4VAx B. 6V O C. O OD. 125/2 E. 2V3

A: To compute lim∆x → 0 4(x + ∆x)32 - 4x32∆x

Q: 1. A factor of x– 6x² + 5x + 12 is a+)Ct-3)Cae B. x - 2 C. x- 3 A. x - 1 D. x + 4 2. x+ 2x - x – 3 =…

A: We have to find factors of the polynomial and also find out the root is the equation

Q: (X1+X2) (d) and X3 2 (e) X2 and X2 X1 – x3 -

A: We want to find they are independent or dependent.

Q: bility 0.2. Supposing that there are only sunny or rainy days, in the long run on what fraction of…

A: here given ,  On a Southern Pacific island, a sunny day is followed by another sunny day with…

Q: z= - 3i is a solution of z2 +9 = 0 z2 -9 i = 0 %3D z' +3 = 0 z2 +3i = 0

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Q: Find the general solution of x'1 = x2 - x1 + t, x'2 = x2.

A: The given differential equation are - x'1 = x2 - x1 + t   and   x'2 = x2 We can re-write the…

Q: n-1 n-1 k n-2 n-2 - = P k X6n-10 X6n-9 = 4 - n-1 п-1 n-1 h k k n-1 X'6n-8 = r X'6n-7 = P h - . k - 4…

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Q: z=- 3i is a solution of z² – 9 i = 0 z3 + 3 = 0 z2 +9 = 0 z2 + 3i = 0

A: Given: z = -3i   To find: The given z is solution of which polynomial from the given polynomials.

Q: X - 3 in x2-4 (-00,-2)U(3,0) .a (-2,2) U (3,0) .bO (-0,-2) U (2,3) .cO (-2,2)U(2,3) .d

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Q: x2 (x+1)(x²+4)

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Q: a2e ax2 a2e + 16 = 0 ay2 For which 1-0 (0, y) = 0 2-0 (1, y)=0 3-0 (x , 0) =0 4-0 (x, 1) 0

A: Here, we need to solve the differential equation ∂2θ∂x2+∂2θ∂y2+16=0 by separation variables. Let θx,…

Q: 4. f(x) =-2|x- 3+1 3. 2+ -2 13 -2 -3 a. g(x) =-2|x-3|+2 g(x) = -4|x – 3|+ 1 C. g(x) =-2|x-31+ 1 d.…

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Q: Your major online bookstore is in direct competition with Amazon.com, BN.com, and BooksAMillion.com.…

A: Given Rx,y,z=10,000-0.01x-0.02y-0.01z+0.00001yz

Q: %3D x4- x3 A Select one: а. X-1 In 4 + C 2 x2 on b. X-1 In 3 2 + C 2 x2 | - C. 2 X-1 In 2. d. + C 2…

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Q: 6. Coefficients linear in the two

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Q: z = 3x1 + x2 sujeto a x1 + x2 < 4 min X1 + x2 2 2 X1 – X2 2 2 X1, X2 2 0

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Q: find A-1 using Gaussian elimination and check the result [2 3 2 -31 2) A = |1 -2 -1 Ans: A-1 = -1 -2…

A: We can find Inverse of the matrix by using Gaussian elimination method and also apply Row operation…

Q: ;0<x<0, - 0 <0 <0 Let X,,X,X,r(x;e)=- e.w Discuss the sufficiency by using Factorization Theorem.

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Q: Gonzalez Manufacturing borrowed $45000. Part of the money was borrowed at 4%, part at 6%, and part…

A: Solve to find x, y and z.

Q: 2x2y''+3xy'-y=0 , x>0 y1(x) = x1/2  y2(x) = x-1 Show that y1 and y2 given above form a basic…

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Q: 2x+3 Jika fungsi f (x) ,x + 5 dan g(x) = 3x + 1 maka %3D ポー5 (gof)-(x) = 3... 5x+4 A. Xキ-7 x+7 5x+7…

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Q: z = – 3i is a solution of z² + 3i = 0 z³ + 3 = 0 z² +9 = 0 z² – 9 i = 0

A: We need to find z =-3i is a solution of which of the following equations given below.

Q: -3-2-1 -1 543-2 -2 -3 -3 O g(z) = (x + 1)² – 2 O g(2) = (x – 2)² – 1 O g(z) = (x – 1)² + 2 O g(x) =…

A: We have in first figure that function f(x) of y=x2  which translated one unit downwards and two…

Q: х3+3x-4 x2 с 1 x² + 3 In x + 4x + C 3 A -x² + 3 In x – 4x + C 3 - 1 x² + 3 In x + 4x + C -x2 + 3 In…

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Q: x-4 Evaluate the integral x²-5x+6 = (x-2)(x-3) х2-5х+6

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Q: Z₁ = 5x₁-x2 Z₂ = x₂ + 2x₂ x₁ = y₁ + 2y2 - Y3 x₂ = y₁ - y₂ y₁ = 2w₁ y2 =W₁-W₂ Y3 =W₁ - 5W₂ Show that…

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Q: A = 2 0 T -2 2 c=[12] 0 1 0 -1 [0.5 0.0] 0.0 2.0 -2 -2 -2 -1 Ce₁ -1 Ae₂ Ce₂ 0 0 Ae₁ 1 1 2 2 B = N O…

A: Since you have added many problem in one question, so here are the solutions of first three…

Q: 2n: >(-1)* (") 3n-k %3D .k k=0

A: We have to solve given problem:

Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: z= - 3i is a solution of z2 +3i = 0 z2 - 9 i = 0 z2 +9 = 0 z3 +3 =0

A: Third option is correct

Q: Gonzalez Manufacturing borrowed ​$39000. Part of the money was borrowed at 8​%, part at 10​%, and…

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Q: Solve the problem. Find the general solution of the homogen X1 + 2x2 3x3 = 0 4x1 + 7x29x3 = 0 -X1 -…

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Q: X-2 4) Let hcx)=JR-3 when x 2 biven that h is continous for all x>7find h(z). 027

A: A detailed solution is given below.

Q: 1 X(z) = (1– 2-')(1– z-3)

A: To Solve using partial fraction: X(z)=1(1-z-1)(1-z-2)

Q: Using [x x2 x3] = [1 3 5] as the initial guess, the value of [xi x2 x3] after three iterations in…

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Q: n-1 hII ( f3i+1p – f3i-1h f3i-1p – fai-3h ) (無 f3i+29 – fzik ) Faq – fzi-zk ) X6n-4 | i=0 -1 = kII…

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Q: z=-3i is a solution of z2+9=0 z' +3 = 0 z² + 3i = 0 z² - 9 i = 0

A: Let z is a complex number. We can represent as z =a+ ib. Where  i=-1

Q: Q3: IfREAL variables x and y have values 2.0 and 1.0, and INTEGER variables Z and ZT have values 5…

A: Given, x=2.0 and y=1.0,, then x2 =4, y2 =1 Z=5, Z1=3, implies Z3=125, Z13=27

Q: D Operator: Solve the DE у" - Ту" +14y' - 8y %3D 0

A: Using method of linear differential equations with constant coefficient.

Q: N; Encreasing for all n>N. that {yn} is a positive solution of equation ( {Zn} € So. Then z, is…

A: 1. In the first two sets it was applying LCM in two fractions as follows.

Q: Deternine the absolute extrema of h(x)= 2x² +3x² - 12x+4 on [0.2]

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Q: [11 -2 0 W .Use the Gauss elimination method to re

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Q: 3x2 + 7x + 28 A f(x) Using partial fraction, evaluate x3 + x2 + 7x dX, the decomposed fraction is x2…

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Q: x + 118 Evaluate dx, by expressing (x – 9)(x + 8) - the integrand as the sum of the partial…

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Q: -15 ス=スーカー3;w>え崎-k md 。 d o えしデx2) ) 1パx悩)1,) (穴応)し花っ2) - %3D A. 一

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Q: 334 In attempting to solve a simple PDE, a system of finite-difference equations of the form u+1 =…

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Q: sx² + y² = 5 32. Use the elimination method to find all solution of the sysfem {,2 _ y² – 2' А.…

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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.