2z2 – 4z 3z2 - 12 Which expression is equivalent to when z + -2, z7 -1, and z+ 2? z +1 z² + 3z + 2 2z 3 2z 2(z 2)° 3 2(z – 2)?

Q: 39. x² + xy – y? = 1, (2, 3) 40. xły? = 9, (-1, 3) %3D 41. y?- 2x– 4y –1 = 0, (-2, 1) %3D

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Q: Sone the equations 21 +34+Z=9 Que 2 X+24+32=6 32+4+27 = 8 %3D by the LU cdecomposition method

A: First we will convert the given system of equation into matrix form. Then by doing the LU…

Q: 32 + 3z+ -IHTEGRATE THE FOllowING: 8) 2 1+ 2z 十2 zp ! 32 +37'+x

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Q: 8. What equation could be written for this table? 10 9. y 4 3 -1 Ox-Y3D6 O y= 3x Ox+y= 14 O y-0x %3D

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Q: Evaluate using Algebraic Substitution: S In (y + 3) dy o In(vỹ+3) +3vVI - y+ C o (y+ 9) In(vỹ+ 3) +…

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Q: Give the properties for the equation 3y 2 - 2y + x + 1 = 0. Latus Rectum

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Q: 3. Solve the value of x and y. xy + y = -4 2x? – 10y² = 8 Ans. x = 3, y = -1 %3D

A: The given system is: xy3+y=-4...(1)2x2-10y2=8...(2)

Q: 3.) If x = 0, y = -4 and z = 3 find the value of: z* + y² z- y

A: Given  x= 0,  y = - 4,    and   z = 3 To find the value of  (zx + y2) /(z - y)

Q: 2j (5-j3) B) Given that (2a+ jb)+(b-j3a)=- Obtain the values of a and b. (2+j)(1+j4)

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Q: 5) -5+ csc 0 = V3 - 5 + 2csc 0 %3D 2n A) 3 3 B) { 6 6 4π 5π C) { 3 3 2л 5л D) { 3 6.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A. y = - (x – 2)2 B. y = -(x - 2)2 C. y = (x + 2)? D. y = -(x + 2)² 7. A. y = -4(x + 2)² + 1 B. y =…

A: General form of parabola is: y=ax-h2+k........(i) , where h,kis coordinate of vertex and x,y is any…

Q: What is equal (1+5 k+3 j) (1+2 i+3 k) ^{- 1} Write the coefficient at j & k ?

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Q: There are several possibilities of solutions for L, a, and w: w2sin(wt)+L=49sin(at)+3 The…

A: Given that  w2sin(wt)+L=49sin(at)+3 Compairing the like term we have  w2 = 49 w=a L=3

Q: • r = 4 - 3sine •r = 1+ 2sin0 • r2 = 25cos20 %3D

A: Please, find symmetry test for all the subproblems.

Q: If Iz – 2| < 2, then find (x,y) * arg(z),r i5

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Q: V, = 21 - +k v, = 51 +j-k 1) V2| 2) V V2

A: It is given that, the vectors are v1=2i-j+k and v2=5i+j-k.

Q: z + 2ī +3 – i = 0 1-i2 z – 2z = 1+i7

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Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Range -8 ≤ y ≤ 2 -7 ≤ y ≤ 3 -2 ≤…

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Q: Given : 2х + 5у — z %3D27 x + y + z = 6 2y + 5z = -4 Eliminate x from 2nd & 3rd equation (by…

A: Given : System of linear equation :  2x + 5y - z = 27 x + y + z = 6 2y + 5z = -4

Q: Are there two distance formulas? 1) d = (x2 - x1)2 + (y2 - y1)2 2) d = (x1 - x2)2 + (y1 - y2)2 I…

A: Recall: Distance formula between the points x1,y1 and x2,y2 is d= x2-x12+y2-y12.

Q: Directions: Simplify these problems by combining like terms. 1. 6s + 2s - 3s - 6 2. 10t - 4t -6 +…

A: Explanation of the answer is as follows

Q: -2=sec 0 %3D A) 5n 7n 5n B) 3 3 6 6 2n 4n C) 3 3 2n 7n D) 3 6 4) -1+5csc 0 = 1 + 3csc 0 TC A) (0} B)…

A: to solve trigonometric equations.

Q: 2j(5-j3) B) Given that (2a+jb)+(b-j3a)=- Obtain the values of a and b. (2+j)(1+j4)

A: Solve the left and right-hand side independently left-hand side 2ab+3ab+jb2-6a2 5ab+jb2-6a2…

Q: A. y = -(x – 1)2 + 2 B. y = (x- 1)? + 2 C. y = -(x + 1)? +2 D. y = (x – 1)2 +2 6. 25 Les A. y = -2(x…

A: Quadratic Functions: Quadratic functions are the function of degree 2 in one variable and that can…

Q: 22. If z = -2 – 2i, then zº = а. 29 b. -(2°)i 6. -(21") d. -(212)i

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Q: 2x+5y=-9 3x-2y=-4 Is it a solution? (x, y) Yes No (-2, -1) (о, 3) (4, 8) (8, -5) O ooO O Oo O

A: Given: 2x+5y=-93x-2y=-4

Q: 3.) If x = 0, y = -4 and z = 3 find the value of: z* + y2 z - y

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Q: Given that a = -3 b = %D -4 Evaluate |(4а + 3b)/2 %3 Given x=2, y = 8, z = |-2 Find (3x-y) / 6z -…

A: given,       1.   a=-3 , b=-4   4a+3b2=2.   x=2 , y=8 , z=-2     3x-y6z-x=

Q: + 5t 3- xy)D = [32 )and 28" – D-1 = {A If A 3 -: Find the unknowns x, t, y, z D=7 F=7 C=2

A: The inverse of a 2×2 matrix is calculated using the following formula:  a  b c  d -1=1deta  b c  d d…

Q: /2z-2² dydz Evaluate: 7 Vz²+y? O-V3 0 1

A: We have to solve the integral  ∫032∫x32x-x2dydxx2+y2

Q: EIN 2+4i 2+4i Solz- 3. (a) I S 1- 2 dz- 3. 86 141 3 (24) How to open the brackets and then reach the…

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Q: i. (-10z²y-4)2²(z³y)-5 1 1 (a³b2c 2) (ab)3 ii. Va3xVbc iii. (ažbe-) (ažbc) when a = 3, b = 4 and c =…

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Q: =form of the following: 11z? – 15z + 6 - G(z) %3D (z – 2)(z - 1)2

A: Inverse z transform

Q: (b) (c) -2a 2a T - a + 2b + 3c = 2b + b 2r + 4s 3r + 6s +2t 3t 5t С = с 11 = = 0 1 0 1 1 -3 ANS:…

A: For question number 1: Deteminant of a 2x2 matrix:Let A=abcd, then det(A)=|A|=ad-bcSimilarly for 3x3…

Q: 13. z varies joinly as x and y. If z=3 when x= 3 and y = 15, find z when x = 6 and y = 9. %3D 18 a.…

A: Solving the problem by obtaining the value of z.

Q: Exact Equations (w³ + wz² – z) dw + (z³ + w²z – w) dz = 0 O (w² + z?)² = 4wz + c O (w? + 2?) = (4wz…

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Q: y" + 3xy' – 12y = 0, y(0) = 1, y'(0) = 0. y = 9+54x^2+27x^4-27/5x^6 help (formulas)

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Q: d: R²XR² → R₁+ d(x, y) = { x = (x₁, x₂), y = (y₁ - y₂) ER² 1 1 { 132₁_2₂1,1} if x₁=3₂₁ ; 1 otherwise…

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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: quations by substitution. 7x-2y 14 5x-4y = -9 %3D Fons by elimination. 5x + y = 9 10x-7y = -18 %3D

A: 8. The given equations are  7x-2y=145x-4y=-9 From 7x-2y=14, solve for x. 7x-2y=147x=14+2yx=14+2y7…

Q: 1 (a) Find the expression for Vo given that ø(x, y, z) = r=3, where r² = a² +y²+z².

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Q: 2d 2e 2f = -16 Then 2d + a 2e +b 2f + c | 4g 4h 4i -40 None -20 O 20 O 32 O -24 O 24 O 32 50

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Q: 2x2yn+3xy'-y=0 , x>0  in the equation given as: Show that y1 and y2 given above form a basic…

A: This question is related to differential equation.

Q: 3. К(а)3D|a — 2, find k(-9) Solution: k(-9) =. k(-9) =9 – 2 k(-9) = 4. p(а) %— -4а — 2, find p(2a)…

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Q: Suppose that Eaz = -5 and b = 6. Find the values of %3D k= 3a c. (a + b) a. b. k=1 d. (az - bi) k=1…

A: We have given: ∑k=1nak=-5 and ∑k=1nbk=6. (a). To find ∑3k=1nak. Property of sigma is:…

Q: 2 х 4 3 +2 1 0 z -3 find the value of x.y and z If 3. у 2 15 4

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Q: 3r=-4s+1 2s=-4r+8 r= s=   I don't even know where to start with this. Any help would be appriciated.

A: Given,

Q: 5. If * а b 2d 2е 2f = 16 h i Then |2d + a 2е + b 2f + с| 3g 3h 3i -d -f -e О - 20 О -40 О 20 -12 12…

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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.