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

Q: .3 4 1 1) dzdxdy S² S³ S1²3 S₁ 0 1 z(y4+1)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Evaluating a Function In Exercises 31–34, completethe table.

A: Function: 31. f(x)=-x2+5f(-2)=-(-2)2+5 f(-2)=1f(-1)=-(-1)2+5…

Q: 2. Find all the critical numbers a. f(x) = 2secx (0,2n) b. g(x) = (x² – 4)3

A: Critical Numbers : Critical numbers are the numbers where the function is defined and its derivative…

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

A: Fourier series

Q: 2 4 2) f(x,y)=2xy- 5x? - 2y² +4x+4y – 4 Ans. f 3'3 0 local max. %3D

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Q: 6. y = xe* 7. y= 3x.e* 8. y = x² In(x) 9. y =x*(5x – 1) 10. y = (x² + 2x)5(3x-3 +x²)-7 11. y = (1 –…

A: Use product rule of differentiation.

Q: Solve x(1) – 2y(t) + z(t) = - 3 | x(1) +y'(1) – z'(1) = 2 x(1) +2x(1) + z(t) = 1 where x(0) = – 1,…

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Q: 0 0 0 2 1 0 0 0 2 0 0 2 2 1 Find the general solution to x' = Ax if A %3D

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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: x-(1+iy) Q11: Express- in terms of z and z. (x-1)2+y2

A: Let z=x+iy and z bar =x-iy

Q: Graph the functions in Exercises 39 to 56

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: n Problems 27–34, find two different pairs of parametric equations for each rectangular equation.

A: To Find: Two different pairs of parametric equations for each rectangular equation 27 y=4x-128…

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

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Q: 4) f(x, y,z) = /1– x² – y² – z²

A: Domain is the subset of R3 where the function is defined

Q: 3 4 gla) - 4 17 3 A) s '(x) 3 A) Yes B) No -2.x + 8 B) f (x) – 3 C) s '(x) – x – 1 2 3) Sl:) – VI+2…

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Q: 6 Maximize Fenoi Z = 2x1 – 6x2 subject to anole 3i X1 – x2 < 4 - -X1 + x2 < 4 X1 +x2 < 6 X1, X2 2 0

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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: Use Theorem I to compute the areas of the three shaded regions in Fig. 2.

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Q: 9. X = X= [X1 ; X2] Initial condition X¡(0)=0, X2(0) = 1

A: Given system is X' = 1411 X + 10 e-t Initial condition:- X1 0=0, X2 0=1

Q: y = x(arctan x)² arctan (x+ (1+x²)arctan x) А. 1+x2 arctan (2x+ (1–x²)arctan x) В. 1-x2 arctan (2x+…

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Q: 15. F(p) 3D (5 р — 2)(3р — 1) 16. g(x) = (/x+ 5x – 2)(Jx – 3/x) %3D 17. y = 7. 18. y = (x - 1)(x –…

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Q: 2 3 6 + k dt V4 – t2 4+ t2 |

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

Q: 1 B (m,n) = m-1 (1-x)"-ldx %3D

A: Concept: By definition of Beta function

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: X - X (x -x* Y (r-F)} (x-X{r-F) Y-F 2 4 3 6. 6. Compute: X = Y = E(X-XXY-Y)- N-1 B A = Y - B*X = 2.…

A: The table is given as follows x (x-xbar) (x-xbar)^2 y (y-ybar) (y-ybar)^2 (x-xbar)*(y-ybar) 0…

Q: 6 р %3D Differentiate y with respect to x: y = Vx² + x. 2x 2x+1 2x+1 2 3(x2+x)5 В. 3(x²+ x)5 C.…

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

A: Solution

Q: 0.2 X = -2 0.1 X = -1 0.1 X = 0 Px(x) = {0 X = 1 and X = 2 0.3 X = 3 0.3 Х—4 Y = |X|+1 if E[Y] =? ve…

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Q: (x+1)(x-2) 28. f(x) = %3D o(x-2)(x+2)2 ald worl m1 30. f(x) = O 2+3x %3D %3D 4* - 6(2*) +5 32. f(x)…

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

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Q: 2x +1 4. g(x)%3D x-1 1-4u 5. h(u) = 1+3u 6. H(s) =avs+

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Q: 1) If h(x) = x³ +1, find h-'(x). (A) h-'(x) = 3+ (x +2)³ (B) h-(x) = Vx – 1 (C) h-(x) = 2r³ – 3 (D)…

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Q: -5 #2. Suppose that S„ƒ(x)dx= 6 andS²,g(x)dx= -4. Find S°,[3f(x) – 0.5g(x)]dx.

A: To evaluate the given integral apply the following rules.

Q: x +1 x(x +4) 8. R(x) = 9. R(x) 2x + 4 %3D 7. R(x) (x- 1) (x + 2) %3D x* + x² + 1 Gra x2 1 \13. P(x)…

A: To graph the given function

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: 2 - = 3t y+ x' = 3et * (0) = y (0) = 0 OL (x) = 3s2 (s+1)(s–2)(s²+1) 3(s-1) OL (z) = 76+1) (28²+1)…

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Q: 1. x"(t) – 4x'(t) + 4x(t) = 4e²* ; x(0) = -1, x'(0) = -4 %3D

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Q: x2 – h(x) = (v2)** A.h' (x) = 2x In2(V2)* B. h'(x) = x In2(v2)* %3D x² %3D C. h'(x) = 2 Inx(v2)* D.…

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Q: |1 X x21 |1 X YZ| 1 Y XZ = 1 Y Y2 1 Z XY Z 72

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Q: 10 0 X y 0 1 0 1 Z If | 0 0 0 | find x, y and z.

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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: 27. y 2r(x + 2)² 29. y = x(r - 5)² 31. y = 4x(x + 5)* n= 27r - 2 26. y = x(x - 1)* 28. y = 3x'(x +…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: n Problem fandf! 2 5(x) = 3+ x 2x 58 f(x) = - x- 1 aa gon 3x + 4 ino bn 2x - 3 01 o01 61. (x) %3D

A: f(x)=23+xto find the inverse of f(x)=23+xput y in place of f(x)y=23+xthen replace the position of x…

Q: , у"+ бу'+ 9у 3D 0; x = 0, y = 0 and x = 0, y' = 3 = Ans. y=3 x e-3*

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Q: 7. Express as a single traction 1 4 X +1 x - 2 8. Express as a single traction. 2x - 1 + 3x + 1 4 3

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Q: 2) x+y+kz= 2 3x+4y+2z=k 2x+3y-z =1 a) for have only one solution ks b) for be unsolvable k? c)…

A: Step:-1 Given system of equation is x + y + k z =23 x + 4 y + 2 z =k2 x +3 y -z =1 11k34223-1 xyz =…

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: 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