+ + 2 For w(x) =x2 3 x + nCx)=xt and - श0d X (won)x) xt 2 + 1 X X Lxzu+-30a)) (xt1) - 3 (xt)+ 2 X 2 t 2x tL - 3*-3 3 1 2xナ1 + ot1 2x +2 X= \ 2

Q: (m) For ro = -8, 11 = -7, 12 = -6, 13 = -5, I4 = -4, f(z1)Ar,

A: Given

Q: If f(x,y,z)=x²y³-y²z³ Then f;= -3y²z2 Jlgn

A:

Q: 7 --y2 Then 2 5 Q2: If z = –x² az + 5x ду az 7y ||

A:

Q: The productivity of a country is given by ​f(x,y)=14.41x0.427y0.573​, where x is the amount of…

A:

Q: 1 max z = 2x, + x2 - x1 + x2 s 1 Xị + x2 s 3 s.t. 2x2 < 4 X1, X2 2 0

A:

Q: Use Cramer’s Rule to solve x + 6y − 4z = 10 4x − y − 3z = −8 x + y − 2z = 7

A:

Q: Max z = 5x, + 6x2 x1 + x2 S 5 ( Machine A) 4X1 +7X2 S 28 (Machine B) s. to X4,X2 INTEGER

A: Consider the given system of equations.

Q: Max Z = x1 + 3xz+ 4x3+ 5 S.t. 4x1+ 3xz+ 2x3 +x4<10 X1 – X3+2x4= 2 Xj+Xz+X3+X21 X1, X2 ,X3, X2 0

A: Phase 1: The Given problem is converted to canonical form by adding slack, surplus and artificial…

Q: 8T 3/2 /1+ 4t² dt A. 3 2 87 t3/2 /1 – 4t + 4ť² dt 3 В. 27(t – t²)/1+4t² dt с. 2 D. 27(t – t?)V1 – 2t…

A:

Q: 2. x + 5y +15 z + 35 w + 70t = 0 X + Y + z + w +t =1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20w +…

A:

Q: Solve 2sinx- V3 = 0 on interval [0,2 t)

A: We have to solve  2sinx - √3 = 0 on interval [0 , 2π)  Since ,  2sinx - √3 = 0  2sinx = √3

Q: 2. X + 5y + 15 z + 35 w + 70t = 0 x + y + z + w + t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z +…

A:

Q: 2. x + 5y + 15 z + 35 w + 70t = 0 X + y + z + W + t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z +…

A: We have to find the solution of the linear system.

Q: 8.) if z = x +jy, then Rez + Imz= (2+2) + ½/₂ (2-2²)

A:

Q: 8²z 8. If z = x + y Inxy, show that x- 8 z + x² 8²z 8y² 8x8y

A:

Q: Let f(z) = 5z2 + 3z. %3D

A: Given,            f(z)=5z2+3z and         z = 8.2+5.9i

Q: 2y = xx -1-In(x+vx² -1)+c

A: Given the family of curves is 2y=xx2-1-lnx+x2-1+c. Find the orthogonal path of the above curve.

Q: 10--6A Oa) x- -6 V b) x = 6 c)x- 10 V d) x- -2 Oe) x- -8

A:

Q: 82z 8. If z = x + y lnxy, show that x- 82z + ミy2 82z 8y2 8x2 δχδν

A:

Q: (2) Find dt2 if y = x2 + 3x -7 and x 2t + 1 | 2

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

Q: x^2=Axy+By

A: Simple value put

Q: 2. If x =-1 and z = 2y = -3x, find the value of 3xy-z 1+3x²z

A:

Q: What is r' (x) when r(x) = In (x³ + 2x2 + 3x +1)? Select the correct answer below: In (3z2 + 4z + 3)…

A:

Q: 1. Differentiate: y = 3(x²-1) A. (In 3) 3(x²-1) B. (2x) 3(x²-1) C. 2x (In 3) (3**-1) D. x²(In…

A:

Q: A. Homo geneous Higher Ordered LDE 1. (D5 - 1204 + 520D3 - 112D² + 192D - 256)y- O

A: Solution

Q: 1. v20x*y 6. V121x*y* = 2. V147a'b5 7. V625u1ºv16 15 11 3. 320p°q" 8. V224pq" 9. V27w²z° 13 4. V7…

A: Authoring guidelines:…

Q: the of olution using simplex me Max z = 8x, + 10x, + 7x3 s.t: 4x + 6x3 + 3x3 S 60 7x, + 2xz + 5x, S…

A: In this question, the concept of Linear Programming is applied. Simplex Method An approach to…

Q: -If x(z) = 2z + 5z-1 + 6z-3 – z4 find x(n). %3D

A: The given signal is,xz=2z+5z-1+6z-3-z4

Q: evaluate x2 -(xy-y) for x satisfying x/9 -7 = x/2 and satisfying -3y -5=4y+23

A: See the details solution in below

Q: 2-If x(z) = 2z + 5z¬1 + 6z-3 – z* find x(n). %3D

A: Consider the given equation:   xz=2z+5z-1+6z-3-z4

Q: 2. Factor x from ax + bx

A: We have to factor x from ax+bx.

Q: 2. Use a trig substitution to evaluate S dx x³√²-16' x> 4.

A:

Q: V81z2 V24z2 V63z*y 6z/9r 12z/2 : 12 : 9z : 3x : 2z/6 : 4z6 : 9z2 : 4z Vy? : 8zyy : 4z?y # 3zy7z :…

A: we use  √(ab) = √a √b (am)n = amn

Q: 2) Find dy of: 7x 5 上 (3-2x

A: We know that  ddx(xn)=nxn-1

Q: 3. Is (3,8) a point on y = 3x - 1?

A: if (3,8) is a point on the line y =3x-1 then it should satisfy the equation y =3x-18=33-18 =9-18 =8…

Q: Salx) = 212-4.87x+ 3,2x² -0,53x3 S(K) =FSzcx) = -30,2 +27 53 x- , 6x+ 0,69X, S(x) = 2イ- 40,争K+…

A:

Q: Solve: y" + 4y = 8csc2x O y = C1cos2x + C2 sin2x + 4xcos2x 2sin2xln(sin2x) O y = C1cos2x + C2 sin2x…

A: The solution is given as

Q: (-x+2, if – 1 sx<2 V3x – 6, if 2 < x< 5 -2x, if x <- 2 lx² – 1 , if x <- 2 1. f(x) = 2. f(x) = 3.…

A:

Q: Use Cramer’s Rule to solve:…

A:

Q: Eliminate the arbitrary constants of: x^2=Axy+By

A:

Q: Prove that y = e-3* (Acos 5x - Bsin 5x) + Cx; A, B and C are arbitrary constants will equalto y"(17x…

A: Given,            y =e-3xAcos 5x -Bsin 5x + Cx

Q: 7. Find mzV. V -27+10x=D29tda K-2x W (2x + 29)° ー +8メ= 091/10x-27) et 8x=56 8.50 メ=7

A: The given figure is of the parallelogram. And given that m∠W=(2x+29)°, m∠Y=(10x-27)° Note that, the…

Q: +prove by indirect method that i X+y >5 then or y>3. x>2

A: We need to prove that if x+y&gt;5 then x&gt;2 or y&gt;3

Q: ,2,,2 Suppose that f(x, y) = 10x²y² + 6x? + 2y? then find the discriminant of f.

A: We have to find the discriminant from the given function

Q: 4 Q1: If y = (x4-3x2) x5-3Vx3+Vx find y' 리x2-2

A:

Q: -2 0 b) Given -2 6. and X- show that x'Ax = 27, suggest that 5x + 6x + 7x - 4X,X, + 4X,X, -27

A:

Q: If we use the secant method on fx) = x+x+3 with x2 and X-1 = 1, then X, is

A:

Q: Prove that equation x^2 + y^3 = 60 does not have any positive integer solution. Prove by…

A:

Q: Prove Formulas (1) - (9) Differentiate y = √3x². - 1 √5x = = (3x²)¹/³ – (5x)−¹/2

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.