3 max z = -X1 + 3x2 s.t. X1 - x2 < 4 X1 + 2x2 > 4 X1, X2 2 ()

Q: 0, 0<x<1/n, fn(x) = { /n, 1/n < x < 2/n, 2/n < x<1. 0,

A: Pointwise convergent:- A sequence of function is pointwise convergent, if its every point sequence…

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

A:

Q: 2r+1 h (x) = 4x-I o h' (x) = (x) 14 4r+2 o h' (x) = x+2 4x-I o h' (x) = x+1 4x-2 O h' (x) = x+4 2r-1

A:

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: Solve the intial value problem f'(x) = 7x (x6-4) withf (I/6)=0.

A:

Q: elimination of first degree variable: 3x+y-z=11 x+3y-z=13 x+y-3z=11

A:

Q: In Problems 23–38, for the given functions f and g, find:(a) f ∘ g (b) g ∘ f (c) f ∘ f (d) g ∘…

A: In Problems 23–38, for the given functions f and g, find: (a) f ∘ g (b) g ∘ f (c) f ∘ f (d) g ∘ g…

Q: Journal: XFactor: n+4n- 12

A: the factors are (n-2) and (n+6)

Q: Max z = x1 + x2 s.t. 2x1 + x2 ≤ 20 x1 +3x2 ≤ 15 x2 ≤ 4 x1, x2 ≥ 0

A:

Q: X1, X2 2 0 12. Minimise Z = 60x1 + 80x2 bo Subject to 20x +30x2 2 900 40x1 +30x2 2 1,200 X1, X220 LO…

A:

Q: find the volume of the solid

A:

Q: 5. f(x) = 2x - 6 x2 - 7x + 12 Holes: Vert. Asy: Hor. Asy:

A:

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

A:

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=…

A:

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: Integraate :S, 22+x+! d>x 2.

A:

Q: The function:  f(x)=2x^3−36x^2+210x−3 has two critical numbers. The smaller one is x= The larger…

A:

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: 3) f(x) = x--x- 1; [3] [1, -1: 01.4 5) f(x) = 2x² - 2x -1; 4) f(x) = −x- - x + 1; [2, 1 x-1 6)…

A: Average rate of fx change over interval a,b=fb-fab-a

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

A:

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

A: dual of the given lppmin z=y1+y2s.t.     140y1+150y2≥3      160y1+150y2≥2          y1,y2≥0

Q: 1. f(x) = (48x* + 24x + 30) 4 -6 6. f(x) = (2x* + 1) 4 %3D - &r + 17) 3 2. f(x) = (4x* + 5x – 8x +…

A: solution given below..

Q: ++4 if X < 3 f(x) = { x2 + 1 if -3 sx<5 %3D x-7 if X25

A:

Q: 3. One of the methods used to eliminate arbitrary constant is by isolation of arbitrary constant and…

A: Here, to write the other method to find the arbitrary constant of the differential equation.

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

A:

Q: x" + 2x' + 8x = 2e-2t - e-t,x(0) = 1, x'(0) = 0

A: Given differential equation, x''+2x'+8x=2e-2t-e-t,x(0)=1,x'(0)=0 The objective is to solve the…

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+…

A:

Q: Jy > -x² + 6x – 12 ly -x² + 6x – 12 ly>x² - 4x – 1 Sy -x² + 6x – 12 Lyzx? - 4x – 1 Syx² – 4x – 1…

A:

Q: ydy 1. S- V25-16у* xdx 2. S- 9+x 2 dz 3. S- 2 +6z+10 xdx 4. S- 9+x

A:

Q: How would you interpret the coefficient of β2 in each model? Ln(Y) = β0 + β1 Ln(X1) + β2 Ln(X2) +…

A: Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

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: find the (a) domain and (b) range

A:

Q: 1. f(x) = x² – 4x + 1 at point (0,1) 2. f(x) = x³ + 2 at point (1,3) 3. f(x) = 2x* + 3x³ – 2x + 7 at…

A: Given : The functions and the points.

Q: 3x3+y² x²+y² .2 (x, y) ± (0; 0), ,2 ) f (x, y) = 1, (x, y) = (0; 0).

A:

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: Evaluate ( ax"+5ax*+12ax*+llax²+3ax+10a x4+5z³+14x²+17x+7 dx * + 24. + In |a2 + 3x + 7| - arctan In…

A:

Q: 6. Differentiate: y x2 + 3x – 1 x²+1 -(x²+1) В. А. x²+3x-1 (x²+3x-1)2 -x2+1 x2-1 С. (x²+3x-1)2 D.…

A:

Q: 2 x + 4 y + z = 3 3 x + 5 y+2z = 2 3x+ y+ = 1 thesolutionis :

A:

Q: 12. f(x) = x² (2x + 1)*(x – 3)* y-1) y² + 1 AR 13. 14. ya 12+ 4 x 15. y +2 x+ 1

A: 12) f(x)=x2(2x+1)3(x-3) 5 13)x=(y2-1)2/(y2+1) 14) y=[12x1/3+4x1/2]/x1/4. Repost the next part.

Q: 4 %3D X2+2x-15 is X-3 S+X

A:

Q: Solve cotx+ 3-0 on the interval x e [0,21]. O a) 6. 11x X3D O b) x-x-5 X = Od4- c) X = 11T 元 d x=…

A:

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: The function f(x)=2x^3−27x^2+48x−6 has two critical numbers. The smaller one is x =   and the…

A: The given function is f(x)=2x3-27x2+48x-6                           Differentiate with respect to x,…

Q: 3 9-r22 1 dy dz dr 9-r2 0_æ²_22 (x² + y² + z²)1/2

A:

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

A:

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

A:

Q: In Exercises 7–10, determine from its graph if the function is one-to-one.

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: 4. V21+4:-z dz

A:

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…