y < -3x – 2 1 y > ,z + 6 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 1. 4. 6. 7. 8. 9. 10 -8 -9 -10

Q: y 6. K-(-9, 6) -7 5G (1, 4)- 3 ЕH (-9, 3)+ -2 F (5, 2) – (-3, 3)-1-E (1, 2). -9-8 -7 -6 -5 -4 -3 -2…

A: Folow 2nd step.

Q: -1 y 6 5 4 3 2 1 -1 -2 -3 (2,5) b 1 2 (2,-2) 3 4 5 5 a 6 6 7 8 9 (8,-2) x

A: As we know that; The  expression for the distance between two points Px1,y1 &amp; Qx2,y2 is:…

Q: (b) (3, 5л/2) (x, y) = y y -6 -5 -4 -3 -2 -1 -5 -10 -15 -1.0 -0.5 0.5 1.0 y 15 -1.0 -0.5 0.5 1.0 -2…

A: We need to plot the polar coordinate of the given point 3,5π2=r,θ . The polar coordinate can be…

Q: 0.5 y n/2 t 3π12 2n -0.5 -1.5 --2 -2.5 -3 -3.5

A:

Q: T : R² → R³ -3x1 + x2 (:) 3x2 x2 2x2 Ex: 5 : 5 T Ex: 5 -1 Ex: 5

A:

Q: y 9. 16 Ox-8, y-17 Ox- 8, y - 16 Ox-8, y - 10 Ox-16, y- 17

A:

Q: y -0.5 -0.75 1.5 0.5 0.25 -15 |(1) (2) (3) |-1.75 1.5 -0.5 0.5 0.25 -0.5 y y -0.5- 0.5 -이125- 0.5 -1…

A: Matched surfaces and contour diagrams:   Surface              Contour diagram (a)…

Q: y = -4x - 3 X y -4 -2 6. -6 -8 O -2, 8, 2, 10, 6 O -42, -38, -22, 18, 10 O 24, -16, -32, 16, 56 13,…

A:

Q: -37+z= -54

A: -37+z= -54 We have to add 37 to both sides-37+37+z= -54 +37

Q: x + 2 5 2 y+1 x = Ex: 5 y = Ex: 5 ||

A:

Q: Min Z = 5x1+10x2+2x3 s.t: 7x1+3x2+2x3 > 50 8x1+x2+3x3 0, x2 Unrestricted x3 <0

A: We are given the following system. Min Z =   5 x1 + 10 x2 + 2 x3 subject to   7 x1 + 3 x2 +…

Q: X+ 2y = -4 x+ y = 2 O (-6,8) O (8,-6) O (-6,7) O (8,4)

A:

Q: Ex (S-5) (S-5)-

A: Explanation of the answer is as follows

Q: Let f be defined by the following graph: Find

A: Definition used-               Greatest integer function - A piecewise-defined function in which,…

Q: -4 y=름 (x+3)2 3 -2 -1 4 3 2 1 。 -1 -2 -y=3 ↑ y=0 1 -y=큼(X-3)- 2 3 A

A: We need to find area of the bounded region (A) and moment of area about x-axis (Mx) and y-axis (My)…

Q: -1 O -5 -10 -4 2, IP 2 IP 3 4 10 5 X X -1 y 10 -1⁰ IP 2 3 4 X -5 -4 -3 IP -2 -1

A: Topic:- application of derivatives

Q: h(6) = 1- 10- 8+ 5- 4+ h 2+ <7 -6 -5 -4 -3 -2 1 2 3 4 5 6 7 -2-

A: We have to find h(6) from the given graph.

Q: 5. 1 Z+₁ 3z 2 dz

A: Topic = Integration As per guidelines , At a time only one question can be answered. please repost…

Q: max z = 2x1 + 4x2 + 3x3 S.t 3x1 + 2x2 + x3 10 X1, X2, X3 > 0

A: Enter the LPP in excel sheet:

Q: The portion of z = 4 – x² above z = 0 and between y = 0 3 and y = 4.

A:

Q: Max z = 5X1 + 8X2 Subject to: X1 = 0

A:

Q: Max Z= 5x1 + 7x2 S.T X1 + X2< 4 3x11 + 8x2 <24 X1 and x2 2 0.

A: The LPP is given as Max z=5x1+7x2 subject to x1+x2≤43x1+8x2≤24x1≥0x2≥0 We will solve it by Graphical…

Q: $. 12-1 (2²+-)(2-2) 1-4z+6z² 1 -dz .d

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Max Z = 3x1 +5xz+ 4x3 2x1 +3x2 + 0x3s8 3x1 +2x2 + 4x33s 15 Ox11 + 2xz + 5x3 10 X1, X2.x3 all 2 0.

A:

Q: 8. y = x2(x + 1)3 9. (2 x- 1)' (x+ 3)* 10. y=5 x- 3 11, s 3 V16+ KIDA

A:

Q: y = x - 15 x 10 y = x (4, 4) -6 -4 4 K-4,-4) - 10 - 20 20

A:

Q: Max Z 3x, +5x, +2x, -2x, +2.x, + x, 10 3x, + x, - x, s 20 X, x, and x, 20 *; 20

A: The problem is converted to canonical form by adding slack, surplus and artificial variable.   Here…

Q: y = (1+ v) (2 - 2V=) 11 5 3 -3x+-x 2- 3 -3x 2 2 11 5 - 3. O Option 2 O Option 1 3 5 2 2 3 5 2 2 11 5…

A:

Q: max z = 3x1 + x2 s.t. 2x1 + x2 < 6 X1 + 3x2 < 9 X1, X2 2 ()

A:

Q: 2x1 - 3x, - 4x3 s. t. X1 + x2 + xX3 + S1 = 30 2x, + x2 + 3x3 - S, = 60 х - х, + 2х, X1 = 20 X1, X2,…

A: Let 2x1-3x2-4x3=Z The given problem is Min Z=2x1-3x2-4x3 subject to…

Q: Y = 4x + 2 Y = -2x + 2 YA YA 17 17 16 16 15 14 13 13 12 12 10 18 YA 18 12 Y = 3x -10 12

A: Graph of function y=4x+2

Q: 6아 z z = 49 - xy 50 40 30 20 10 2345 61 y=7

A:

Q: 2) 12х + у 3 5 1-2x + y = 1 3-

A:

Q: y 4 3 2 -6 -5 +4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 y = f\x) -4 1.

A:

Q: 1.) y =-4(x - 3)² + 2 | 6- 8 -7 -6 -5 -4 -3 -2 -1 -9-8-7-6-5 -2-1-1 23 4 5 6 6 8 -2 -3 -4 -5 -6 -거…

A: Please see the answer below.

Q: 0.2x + 0.3y 2 7.5 2.9x - 6.2y s 0

A: Given inequalities are,

Q: 2) Min(Z) = 4X1 + 6X2 S.T. 5X1 + 10X2 12 X1,X2 20

A:

Q: x + 6, if – 4 < x < 0 if 0 < x<7 4. g(x) = - -5,

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5- 4- -5 -4 3 -2 -1 I| 2 3 4 5 -2 -3- -4 -5- Evaluate f( – 1) 3.

A:

Q: -ys2x²+x-1 1. _2. y2x²+3x-4, (-1,-1 3. y2x²+5, 5. y>1-x+2x?, (1,1) (0,1) (1,10 (5,1)

A:

Q: y (-2,4) (2, 4) 3+ (-1,1) (1,1) + -4 -i(0, 0) -3 2 3 4 -2+ 6. 4. 2.

A: Given :  A graph of a function f(x) = x2 with five specific points labeled.  To plot :  The location…

Q: x = 5y2, x = 4 + 4y2 y 20- y 2- 15 10 10 15 20 -1 -2 -1 O-2 2 y 20 15 10 10 15 20 5- -1 o-2 O-24 -1…

A: Given: The equation x=5y2, x=4+4y2, To sketch: The region enclosed by given curves.

Q: g(x) = -13 – x| + 5 -6- -10 -9 3 10 -1- -2- -3-

A: The objective of the question is graph the given equation.

Q: Max Z=2X1+4X2-: Sub .to 2X1+4X2 0

A: To maximize: The function Z=2x1+4x2. Given: Subject to constraint is 2x1+4x2≤12 , x1+x2≤5 and…

Q: Min z = 5x1 + 2x2 2x1 + 5x2 2 10 4x1 - X2 2 12 Xi + X2 2 4 X1, X2 2 0 s.t.

A: plot the inequalities on the graph .  First plot 2x1+5x2≥10 by changing into equality

Q: Min z = 2x1 - 4x2 + 3x3 s.t. 5x1 - 6x2 + 2x3 > 5 -x1+ 3x2 + 5x3 > 8 2x1 + 5x2 -4x3 0

A: Given  Problem is     MIN z = 2x1 - 4x2 + 3x3subject to5x1 - 6x2 + 2x3 &gt;= 5-x1 + 3x2 +…

Q: 7x+y 9 - 9 + y 0 (х, у) - (smallest x-value) (x, y) = ( y)% = (x, y) - ( (largest x-value) y

A: Definition used-               Method of substitution -             In this method, we solve for…

Q: Differentiate i (1 — z)²° - i (1 — z)² 2 i (1 - z) ³ 3

A: