max z = 3x, + 2x2 1 1 X1 + 40 X2 < 1 60 s.t. 1 X1 + 50 1 X2 < 1 50 X1, X2 20

Q: Calculate each of the integrals in Exercises . For someintegrals you may need to use polynomial long…

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Q: 2x 2x 2. y = y: x' +1 3. у 3 V(x-2)(x+1) (x-2)(x+1) 2.x - y = Vx* +4 5. y= Vx -4 6. y= V2-x · y =…

A: The questions above.

Q: 3x, +3x, +2x; +1 MaxZ = 2x, +.x, +x; +1 S.t. 2.x, +5x, +x; < 2 X +2x, +3.x; < 3

A: We compare the given fractional linear programming problem by the standard fractional linear…

Q: Find L(y). y + 2x = 2 y – a' = et y (0) = x (0) = 0 O L (y) (s+1)(s²+1) -2 L (y) 8(s²+2) O L (y) 1 L…

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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: 552 – 4 I(x)= £2 + 1 |1 – 45| 12 – 1,000 f(x) = 5 4r2 – 6 1– 452 m(x)= |4s – 1| g(x)= -4 g3 – s2 + 4…

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Q: (4) t(s² + t²)ds – s(s² – t²)dt = 0

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Q: How do you integrate this: ∫(50+2t)3(10) dt + c c = is just an arbitrary constant

A: Indefinite Integration

Q: S( 7x3 – 5 vx +. 18 V +x-40 ) dx x3 10 2x³/2 + 12x³/2 - -394 C с 7 10 x³/2 + 12x¬³/2.1 x-39, C 39 39…

A: Given∫7x3-5x+18xx3+x-40dx=∫7x3dx-∫5xdx+∫18xx3dx+∫x-40dx∫7x3-5x+18xx3+x-40dx=7∫x3dx-5∫xdx+18∫x-52dx+∫…

Q: 13. f(x) = {1 + x, 1, -5 <x <0 0 sx <5

A: Fourier series

Q: 3. 1. Sdx 2. Sa+2 2x+1 dx x+1 3. S: dx x²+2x+5 1 4. Sdt 5. S dt 7t-1 (4-1 dt S 5-t3 6.

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Q: 2 3 dt. 0 1+t2

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Q: 4х- 24 2. f(x) = %D 2x-4 x-int: VA: НА: Hole: Domain: Range:

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Q: Solve for k: ln(k − 3) + ln(k − 2) = ln (2k + 24

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Q: 1. max z = 2x1 + 3x2 X1 + 2x2 < 10 3x1 + 4x2 S 25 s.t. X1, X2 2 0; x1, X2 integer

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Q: 0 Xツ=) X-プ=0 の X+1y =2 X-ッツ=-) の 3×+7ソ-32=2 2x+.5y +Z = -4 2x +6ytl02 = } @ 2x +y - 2 2=10 3×+リ +2ス=…

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Q: X1 + x2 max s.t. + x2 + 12 40 3 X2 >0 X2 EZ VI VI

A: We will use the basic knowledge of linear programming and optimization to answer this question…

Q: 3. x<-10 F(x)= 0.25 -10 sx< 30 0.75 30 <x< 50 1 50 <x (a) P(X< 50) (b) P(X s 40) (c) P(X < 0)

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Q: X(s)=(s^2+6s+7)/(s^2+3s+2) and Re{s}>-1 what is x(t)?

A: We are given : X(s)=s2+6s+7s2+3s+2 ⇒X(s)=s2+3s+2+3s+5s2+3s+2 ⇒X(s)=1+3s+5s2+3s+2 ---(1) Now,…

Q: 2. x"(t) – 4x'(t) + 4x(t) = 4e²t; x(0) = –1, x'(0) = -4 %3D

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Q: 9. Solve In (x+5) 2 2. O A. (x | x 2 12.3891} B. (x | x 2 2.3891} O C. (x |xs 12.3891} O D. {x |x s…

A: Given:         ln(x+5)≥2

Q: dr 19. 1/2 23 de 21. (2-z 2) dr 22. t 1/2 dt 27 t +1 dt 23.

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Q: | Va(In(x))° dr (ax) 1.

A: We find the integration by substitution.

Q: Outcome/s: Max Z = -X1 + X2 + 2X3 ST: X1 +2X2 - X3 s 20 -2X, + 4X2 + 2X, s 60 2X1 +3X2+ X3 s 50 X1.…

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Q: /4x+ – 12x² +7 xdx . Evaluate the integral A) -(4x4 – 12r²+7)/2 +c 24 © ! (21--3)/- 121+7 – 2 m…

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Q: 4) f(x) = ex – x, -5 s x s 2

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Q: 3. f(x) = -x² +1 Ex)(+x). x2 + x - 6 %3D Holes: Vert. Asy: Hor. Asy:

A: Now plotting the graph of given function we get :

Q: 1. 2tds + s(2 + s²t)dt = 0

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: (5)If 3, g(x)dx=5, then 2f(x)+3g(x)dx =. S 25(x) + 3g(x)dx =

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Q: Solve du a²u k xe (0, L), t>0 ôu (0.1)- ĉu (L,t) = 0 ди (0,1): Əx 87x - 3 сos L 3n x u(x,0) =…

A: Given: The given heat equation is ∂u∂t=k∂2u∂x2, x∈0,L,t&gt;0. ∂u∂x(0,t)=∂u∂x(L,t)=0

Q: Ex: 5 R Ex: 5 → R (E) -2x1 X2 - x3 T X2 xị + 3x3 X3 Ex: 5 T Ex: 5

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Q: 16. Using integration by parts to solve 2√4x²+k A. -√4-x² + k √4x²+k -2√4x²+k B. C. x³ dx √4-x² and…

A: Given: ∫x3dx4-x2

Q: 1. f(x) =x+6r-7x 2. S)=r-7 +2* 3. F(1) (1+7t) 2x+1 4. g(x)= x-1 1-4u 5. h(u) = 1+ 3u 6. H(s) = avs+…

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Q: 2. f(x,y) = x5 In(y)

A: Given function is fx,y=x5lny. To find the first and second order partial derivative of the given…

Q: 2(1 – e-5s), e-6s Y(s) = %3D s(s +1)? * (s + 1)² (8+1)²

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Q: 3(1 + P) = 2ty(y³ – 1) dt %3D

A: Let us consider the differential equation dydt+P(x)y=Q(x)yn It is known as Bernoulli's equation…

Q: H 1 L 10 NO 广 -1 L -1.1 -8.2 8.7 11 y = 3. T 1 T 1 11 11 11 1,6 12 I I I 11 11 I 2,5 y = 2.3² T 1…

A: The given functions y=312xy=2.3xy=4.2x

Q: 1 4) S(x, y) = Ans. f(0,0) = -1 local max. x+y -1

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Q: 6. Find the general solution of (x + 2y - 1) dx + (x +2y +5) dy = 0 х +у - 6 In(7 -х - 2у) 3 x - y +…

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Q: s(x)= 2x2 t(x)= 3X (S x t)(X)= (S+t)(X)=  (S-t)(-2)=

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Q: 6) S(x, y)= 2x +3xy+4y-5x +2y Ans. f(2,-1) =-6 local min.

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Q: solve 1- x x(x + 1) S = (-1,0) U [1,00) 0 الخيار رقم 1 [-1,0] O (-1, 0] O

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Q: an = Vn - Vn + 1 S1 S2 S3 S4 Sn II

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Q: x?y" - xy' + y = In(x), y(1) = 0, y(2) = -5; n = 8 1.125 |- 372 1.250 -1.31 1.375 |-1.708 1.500…

A: Given,x2y"-xy'+y=ln(x) , y(1)=0 , y(2)=-5, n=8To find: Solution of given Boundary value problem

Q: n +1 5n An bn n + 2' 4n2 – 3' { 400/n -1/(400n2) n even { Į 7 n/(1+n²) 1 901 п оdd Cn dn

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Q: max z = x1 + x2 X1 + x2 < 4 X - x2 2 5 s.t. X1, X2 2 ()

A: We will solve this question from the graphical method . We will see that if the two inequality has…

Q: Siven X(z) = 2 + 6z-1 find x(1) of x[n] 4 2z-2+13z-3 O 1 O 0.5 O-1 O 1.5

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Q: 4.1+ ež - ) ež + (ež )y' = 0 ex + (ex )y' = 0

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Q: Маx Z%3D 3x1 +5х2+ 4xз 2x1 + 3x2 + 0хз S 8 Зх, + 2х, + 4хз3s 15 Ох11 + 2х2 + 5х3 S 10 X, X2.х3 all 2…

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Q: 2. Solve for x O (x – 4)(x + 7) =0 d) x - 12 = 37 g) x = 10x b) 2x(x + 8) = 0 e 9x = 25 c) x = 4 4x…

A: To determine:Solution of the following equations 1. 4x2=4 2. x2-4=32

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.