Q No.1. Define the following relations and give one example of each by justifying your answer. (i) Null or empty (ii) Identity (iii) Reflexive (iv) Irreflexive (v) Symmetric (vi) Asymmetric (vii) Anti-Symmetric (viii) Transitive (ix) Equivalence (x) Partial Ordering Q No.2. Check the necessary and sufficient condition for a Cauchy sequence to be convergent. If yes justify your answer and if no give counter examples.

Q: 7) -6.x+ 6y = 6 -6x + 3y = -12

A: Using Substitution,

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A:

Q: Explain the three basic concepts used to derive the Kriging equation.

A: The kriging technique is employed basically to fits the surface to three-D analysis. kriging…

Q: 2. y= 2x2 y = -2x2

A:

Q: following value of x

A: To solve and find the value of x, for 5x+4=-14-x

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A: Solution of the intersection lines and parallel lines

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A: Given,

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A:

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A: Order of a partial differential equation- The order of a partial differential equation is defined as…

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A: Explanation: Given that: 4+2x3=-2 Concept: Cubing on both side 4+2x=(-2)3…

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A:

Q: Solve the following y = -3x + 3; (2, 6) %3D

A:

Q: This equation is incorrec need help, with this and need help.

A: Add the fractional expression as follows.

Q: the abscissa less the ordinate is one”translate the sentence into an equation

A: Here we use the concept of cordinate geometry

Q: the geometric explanations for the formulas: the square of the sum, the square of the difference

A:

Q: Kindly explain what "!" Means. also, provide steps of the equations

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Q: -7 4 3+y 2 1 -6 -5 -4 -3 -2 -1 -1 -2 -5 1 2 4 X 5

A: To write the equation of the following graph.

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A: The equation provided, is .To find:The value of .Concept used:The absolute function is defined as

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A: Algebraic solution: Use the rules of algebra to isolate the variable/unknown on one side of the…

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A:

Q: It should be a -c at the end for the start of the equation.

A: By using the Law of Cosines to prove that, .

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A:

Q: to C-X

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.