Consider the two relations R and S, as given below: R S A 1 A 1 в 2 C 2 D 3 D 3 F E 4 E 5 Solve the following: a. R union S. b. Rintersection S c. R-S d. S-R 4-

Q: In the diagram below, if AB = 51 and AC 65, find BC %3D A В С B D O 34 O 14 О 41 O -14

A: Given query is to find the length of BC.

Q: Simplify: Зw 5 w-3 3-w Зw-5 OA. 3-w Зw-5 O B. w-3 3w OC. w-3 Зw-5 OD. (w-3) | Зw+5 OE. w-3

A: We have  to simplify

Q: If (x + iy)i = a + ib , where x, y, a, b e R , evaluate y a elect one: O a. - a? + 2b² O b. -2a? –…

A: given x+iy13=a+ib

Q: -2 2 -1-0-0 2-3 2 <-2 X = y = Z = Check 4 2 find x, y, and z: -4

A:

Q: If det de f ghi then det =-5 a b c 9d 9e 9f 850 hi

A: We need to find the value

Q: 3 Let vi = V2 = and b = For what values of h, if any, is b a linear combination of Vị and v2?

A:

Q: Evaluate by separation of variables. y = xy? O x(y + C) + 2 = 0 O y(a² + C) + 2 = 0 O (2² + C) + 2 =…

A: Given: y'=xy2

Q: The dependent variable is the second value in an ordered pair. O True O False

A: The dependent variable is the second value in an ordered pair  A.TRUE  B.FALSE

Q: Q1: Simplify using laws p↔q v r   Q2: Simplify using laws ~p v q →p ∧ q

A: (1) Now p↔q≡p→q∧q→p By using implication law, p→q≡¬p∨qq→p≡¬q∨p So,…

Q: Then using Euler's method, the approximation of the solution at t=0.2, that is, y(0.2)=0.9 Select…

A:

Q: Determine C if u=v=O (20 — 5и + 3)du - (20 + 4и — 6)dи %3D O 27 L- C

A:

Q: What are the restrictions on the variable of the expression shown? f 3f f-4f+1 ÷ +₁ a. f-2,-1, 2 b.…

A: To solve the following functions wherein to make the restrictions such that the function is defined.

Q: : For two attributes A and B, we have (AB) -8; (4) = 18, (aB) = 5 and N = 35. Calculate the…

A:

Q: For what values of Y will -7 |y_ 2 1 0 2 = 10 |3 y -1 ] The values of Y are

A:

Q: B|a- Find u.v and v xu if u=i+2j-k and v=-2i+2j+2k

A: We have to solve given problem:

Q: Let a=-1, b=1 and c=-1. The quantity -ac ae* + be¬x can be written in the form witanh(x))z for…

A:

Q: The number of ordered pairs (x, y) of positive integers satisfying the x² + y² = 13(x + y) is A 6 B…

A: First, we rewrite the given equation x2 + y2 = 13*(x + y) in a more convenient form. We can do this…

Q: Bruce and Cruz had 294 bookmarks altogether. Bruce gave away 3/8 of his bookmarks and Cruz gave away…

A: Let the number of bookmarks Bruce has = B The number of bookmarks Cruz has = C therefore B+C=294…

Q: If x I y and y I z, then b

A: For the lines l, m &amp; n, if l∥m &amp; m∥n, then from transitivity rule l∥n.

Q: Let u= (-2, – 1) and v= (-8, -5). Find u+ v.

A:

Q: If x ∗ y = 2x – 3y + 4xy, find the values of 5 ∗ 2 and 3 * 2/5.

A: The solution is as

Q: In the diagram below, if AB= 40, CD = 25, and AD = 80, find BC. D. O 15 O 40 О 25 O 60

A:

Q: 4. Using the following diagrams, find the value indicated: b. с. a. 12 14 2x+2 10 2x-17 C. V. 2x+5…

A:

Q: If det a b c def ghi = -4 a-2g 4b - 8h c - 2i

A:

Q: V. Let u¯= (-7, –2) and v= (-7, -1). Find u Select the correct answer below: O (0, 1) O (14,3) O (0,…

A: Given u→=-7, -2 and v→=-7, -1

Q: Calculate x + y. [36] A E Y 7 O 10 11 12 F

A: From the given chords, we have to find the value of x and y

Q: If u (0,-V3, -3) then lull 8. Select one: a. 3 b. 0 C. V3 d. 3+V3

A:

Q: Choose the ordered pair which is the solution to: 4x - 3y = 6 and 3x + 2y = 30. O (0,-2) O (6,6)…

A: Solving the system of equations by substitution method.

Q: (x 2 0, y 20 3x + 4y s 12 (x + 2y 2 2

A: In the given question we have to find the region for which x and y which are grater than or equal to…

Q: B. Find the missing value by using shifting operator E. X y 2 2 5 ==== 7 3

A:

Q: Which relation is incorrect: a. i.j = 0 d. j.k=i b. ixj=k e. ii 1 c. ixi=0

A:

Q: A Nathan organized pile X of paper on his desk, and Gerald organized pile Y on his desk. The figure…

A: Volume is just the amount of space contained within a 3-dimensional object.