y = 8+ 7- 6+ 5+ 4 34 2- 1 2 3 4 5 6 7 8 9 -2+ -3+ -4+ -5+ -9 -8 -7 -6 -5 -4 -3 2 -6-

Q: y 6 5 4 3 -7 -6 -5 -4 -3 -2 -1, 1 2 4 5 67 -2 -3 -4 -5 -6 -7

A: To find a slope of a line from the given graph

Q: h (y) — Зу 6 — 8у 3 + 9у 1 -9- |

A:

Q: -6 3 4 5 6 -1 -2

A: The graph of the function fx is To evaluate: The value of limx→-2fx

Q: Find the area of the unbounded shaded region.

A: The area is from -∞ to ∞ So the area is given by:

Q: 4) y=-4 6-5-4-3-2 -1 $6 x

A: We have to draw the graph of y=-4

Q: -3.14-2z z=4.12

A: Evaluating -3.14-2z :

Q: -2 -1 1 2 y -5 -2 1 4 7 y =

A: Topic- equation

Q: y 5 4 3 2, -6-5 -4 -3 -2-A 0 1 2 3 4 5 6 -1 -2 -3 -4 A -5 -6 す 0u

A:

Q: -4-2y+7y-5+2 -4+5y +2-5 -3-4-5y Result: try

A:

Q: -5y³ 2.) 2 тп +9 7 2 3.) тп —9

A: Given simplifications problem is solved below

Q: -4-6 -7-3 [B] [F] = 9-7 40 2[B] – 4[F]

A:

Q: Replace R2 by R2 +(-6)R1. 19 -3 -5 6 7 7 -9 9 8 R2 +(-6)R, =

A:

Q: -7 -6 -5 -4 3 6 -2 -3 -4 -5

A:

Q: y 10 8 4 -8 -7 -6 -5 -4 -3 -2 -1 3 4 5 6 7 Of 6 8 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 6. 3.

A: We can use the concept of straight line in order to find the solution for problem .

Q: 2. y= -3x? -8 -4 8 -8 -12

A:

Q: y + 3) > (4 - y) 3(y + 3) > 2(4 – y) 3y + 9 > 8 – 2y 5y + 9 > 8 oy lo 5y > -1 Y> -0 2 1/2

A: Given query is to justify the steps according to the properties of inequality.

Q: determine the slope of the line

A: Consider two points (A and B) on the given graph: The coordinates of both points are: A=1,-4B=2,-4

Q: 5 -2s2-3s+4- L-¹1-

A: We will use Laplace transformation table to find inverse Laplace transformation of given function

Q: H(z) z-5-32-7 1-2z¹+z-2-

A: Given as, Hz=z-5-3z-71-2z-1+z-2

Q: -6|5-2y|=-9

A: Solve equations,

Q: (50y' +10y' - 35y-7) +(5у-4) 3.

A:

Q: y = x^3 - 4x^2 y = 0 +++++ -2 2 6. 8 10

A:

Q: (z^3-7z+8) - (5z^3+9z-1)

A: We have to subtract the two polynomial (z3 - 7z + 8) - (5z3 + 9z - 1)  = z3 - 7z + 8 - 5z3 - 9z + 1…

Q: (a) y 6 5 4 3 -3 -2 -1 -1 1 2 4 5 -2- 3. 1.

A: We will check graph where function is discontinued

Q: O y= 3° + 5-3 -5 13 -2 @y=D2*- -2 1.

A: NOTE: Refresh your page if you can't see any equations. . the first function is now make a table…

Q: (z - 4)2 + (y + 3)² = 25

A: we have to find the equation of circle with radius RG=5 and center :(4,-3).

Q: y -1 0.5 1 0.5 3. 4.5 4. 8. 12.5 2.

A:

Q: y"" + 3y" +3y' + y = 0, y(0) = 7, y'(0) =-7, y"(0) = 11

A:

Q: 3y" + 2y' + y = 0

A:

Q: -5 -4 -3 -2 -1 -1 -2 -3 of y =

A: To find the quadratic equation from the graph. To put the given quadratic equation into the form…

Q: -4 6 2 y² + 8y + 15 y+3y+5

A: Here we will solve for y,

Q: y" + 9y = 40e*; y(0) = 5, y'(0) = -2.

A:

Q: S= tan(エャ)-1 『3=(ス+2-1)) 6 メ= つう

A:

Q: (-8-/-3)(2-/=3)=D

A: NOTE: Refresh your page if you can't see any equations. . apply radical rule

Q: 3 4 -=-1 х у -1 2 +-=3 y

A:

Q: - 7x – 4y = - 11 -8 -7 -6 -5 -4 -3 -2 -1, Į 2 3 4 5 6 7 8 -2 -3-

A: Plot the graph of -7x-4y=-11

Q: 16.) y = -4 -5 -4 -3 -2 -1 -5-4 -3 -2 2 3 4 5 2 -3. -4

A: SOLUTION-

Q: y 4 3 2- 1 -2 1 2 3 4 5.

A: Explanation of the answer is as follows

Q: 1. y=7 2. z=-5

A:

Q: y -9 -1 -6 -2 -10-5 -5 -7 3.

A: as given equation of line passes through point-9,-1,-6,-2 so equation of line is given by…

Q: y < x + 3 У< -3х — 5 10 9 8. 6 5 4 3 1

A:

Q: C. -5 -4 -5 -6- -7- 7- 4 d. to on

A:

Q: y"+ y"-4y'- 4y- -3-*-4x-6 =0

A:

Q: Rx) - х3 - х2 - 12х + 6, [0, 4)

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

Q: y" + 7y' + 10y = 0, y(0)= -4, y'(0)=2

A: If we have differential equation   where a,b and c are constant real number then assume the solution…

Q: В. y 3. 23 3 4 6. 7 4 5 8. 9. С. D. -2 1 4. -1 3 6. 4 4.

A: Given that, There are four relationships A, B, C and D. We have to find which relationship is not a…

Q: (-2) – 6)(|4| +(-5) + 6)

A: Topic - solution of expression

Q: y 3 X -9 -3 -7 -6 -5 -4 -3 -2 3 4 6.

A:

Q: y" + 4y' = 0, y(0) = -4, y'(0) = 6, y"(0) = –8.

A:

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.