List the ordered pairs in the relation R from A=0,1,2,3,4, B= 1,2,3, 4, 5, where Ris defined as (a, b) E Rif and only if @3D6² where a E A, b e BThen R is %3D O {(1,1), (4, 2), (0, 2)} O {(1,2), (4, 2)} O {(1,1), (2, 4), (1, 2)} O {(1,1), (4,2)}

Q: Do question 2 only

A: Given :-     A = { 1,2,3,4,5} and  relation R = { (4,1),(2,1),(3,2) } In the relation R, the domain…

Q: e. domain: [-3, 1)U(1,3]; range: [-2,4) 8. Let f (x) =x² . Find and simplify the indicate %3D 2. fy…

A:

Q: Do question 3 only

A: Step 1: Step 2: Step 3: Step 4:

Q: 1. Use the following four relations to answer questions a) through d) below. i) {(-1,3), (2,4),…

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Q: 18. For what value of x will make the relation {(2,5), (9, 7), (x – 7,9), (18, 11)} a function? 16…

A: We find the value of x that will make the relation {(2,5), (9,7), (x – 7,9). (18, 11)} a function.

Q: Do question 1 only

A: For any query with the solution, please ask in the comment box.

Q: Dominic needs to determine the range for the relation {(1,3), (1,5) , (3,-21), (4, 33)}. What answer…

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Q: The inverse of a relation r is r {(0, 0), (0, 1), (0, 2) }. Which of the following may be the…

A: Topic = Relation   The Inverse of a Relation is a set of ordered pairs that is the exact inverse of…

Q: Let f and g be permutations. Show that the order of h=fgf^−1 is the same as the order of g.

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Q: -1, -3, -5, –7}. Determine whether each relation on X is a fur (-3, –5), (–1, –7), (–3, –1), (–5,…

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

Q: 5. Let D = {1, 2, 3, 4, 5}, C = {a, b, c, d}, and g = {(1,a), (2,c), (3,d), (4,c)}. Determine…

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Q: Determine whether the function defined by = 2x1y₁ - x1y2 - x2y1 + 2x2y2 is an inner product on R².

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Q: Which relation is represented by the arrow diagram? -2 -1 1 О {-2, 0), (-1, 0), (0, 6), (2, 2), (3,…

A: Proceed as shown

Q: Let A = {2,4} and B = {1,3, 5}. Which one of the following relations, T, U,V, or W, from A to B is a…

A: Given below the detailed solution

Q: could you perhaps elaborate more on transitivity, I can find the relation but I dont know if its…

A: Step 1: Verify reflective and symmetricGiven that   be a relation on the set Reflexive:  For every…

Q: A TUN f: {1,2,3,4} is defined by f(1) = 6, ƒ(2) = 7, f(3) = 8, Drag the answers into the right place…

A: Given function is f:1, 2, 3, 4 → 5, 6, 7, 8 defined by f(1) = 6, f(2) = 7, f(3) = 8, f(4) = 6

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.