Given:  A={−1,0,1,2} and B={a,b,c} Is A×B=B×S?  Is (1,c) ∈ AxB?

Q: Q1-let A = 6a B - ; ) [2 3 & B = Verify that (AB)" = B" A"

A: Explanation of the solution is given below....

Q: 2. All are allowable values of x in y = ÷cscx except. c. a. d. R b.-

A: We are asked to find all allowable values of x in y=12csc x

Q: If m and n are integers and m x n = 0, then what is true for the values of m and n?

A: If m and n are integers and m×n=0

Q: find quotent and simpfly: r^2-s^2/r-s divde by r/r^2-sr

A: Given expression is,

Q: If x-Exp(5), then M,(t) is

A: Given,X~Exp(5)f(x)=5e-5x  ;   x≥0

Q: 2. If BDbisects <ABCand m<ABD=10x-3 and m<DBC=2x+5, find m<ABC. A

A:

Q: Given the explicit definition: tn = 3" - 8n, find t7.

A: Given that:  tn= 3^n -8n

Q: Is the equation Ax = b consistent for all b in R^3? Explain.

A:

Q: Let, A = [ 1 2 x 3 −1 2 ] and B = [ x y 1 ]. If AB = [ 6 8 ], find x and y.

A: Let, A = [ 1 2 x3 −1 2 ] and B = [xy1]. If AB = [68], find x and y.

Q: If AX≡CX then X is on the bisector of ∠ABC

A: GivenAX=CXconstruct a line parallel toBX and AB to intersect at E

Q: Is Q closed over multiplication? (Y/N)

A:

Q: Which of the following statements about BC and BD is true? 10 B 54-3-2 -11l 12 3456 7 8

A: Given that:

Q: 2. Find x in b = ax if a=23 and b=368. Reply in this format: 1. q = r = 2. x =

A: The given expression is: b=axwhere:a=23        and       b=368

Q: What element corresponds to (2,3) of (A^T) x (B^T)? What element corresponds to (3,1) of (AxB)^T?…

A:

Q: Use z = a + bị to show that z + 7 = 2a and z - 7 = 2bi.

A: Given: z=a+ib

Q: If B' is of order 2x3 and BA is order 3x4, then A is of the order T

A:

Q: Let W = (a + bxr +x? € P: a,b ER) with the standard operations in P2. %3D Which of the following…

A: W is not a subspace of P2 because 0 does not belong in W.

Q: Q.8 If v = (x² + y² + z?)¯/2, prove that a2v + ду? = 0. ax2 az2

A: We find second  the partial derivatives lf given function with respect to x, y and z and then add to…

Q: r* – 2 Show, using the definition, that is O(z²). z +1

A: Here, To satisfy the definition of O(x2), we need to find an appropriate choice of c and k.Let’s…

Q: Prove that if x - Exp (A), then E (x²) = 2A².

A:

Q: Let _X=R². Find M² if M= {(a,1)}.

A: Given that, Let X=R2 Find M⊥ if M=a,1.

Q: Show that AC = BC, even though A ≠ B.

A: To show that AC =BC, even though A≠B.

Q: Let A, B ∈SL2(R). Is A + B ∈SL2(R)?

A: Define : SL2(R)=M∈GL2(R)|det(M)=1 Where GL2(R)  is 2 x 2 matrix of real numbers  Let us consider the…

Q: ΔEFG,  EG is extended through point G to point H, m∠EFG=(2x+1)∘,  m∠FGH=(6x+2)∘, m∠GEF=(x+19)∘. Find…

A:

Q: If mZNSM = 71°, then what is mZLSP? L. R 1 K 3 2 M

A:

Q: For AABC, where ZA = 29°, a = 3.5 cm,b = 6 cm, determine all the possible values of ZB. %3D

A: Given ΔABC,  ∠A = 29° a=3.5 cm , b =6 cm Sine formula ,  a / sin A = b / sin B 3.5 / sin 29 = 6 /…

Q: In a right AABC LABC is 90 and AC is 4 units. If P is on AC uch that BP = 1 and BP1 AC which of the…

A:

Q: 17) If a = 4b3 and c = 5a?b*, show that c 80b10

A: Given:a=4b3,c=5a2b4

Q: If C = {x:x² + 11x + 30 = 0, x ∈ N}, then C is a/an ?

A:

Q: 3. Show that a2 + b2 + c2 > ab + bc + ca and using this result show that (a) (a + b + c)2 > 3(ab +…

A:

Q: Show that ∗ : R × R → R given by           a ∗ b → a + 2b is not associative.

A: Given:Show that ∗: R × R → R given by           a ∗ b → a + 2b is not associative.

Q: l, tet that 17/2n+3m e integed, prouve iff, 17/9n +5 m and m be

A: Properties used: Property 1. If x divides y, then x divides ky and vice versa. x|y⇔x|ky Property 2.…

Q: If (ar + bx) = 4n and n+1 k-1 (ak - bx) = , then > ak = n+2 k-1 k-1

A:

Q: 10 Let A = ,C = 6 1 and D ,B = -3 -7 Find X, if AB" + 14C¬1 – |D|X = 0 %3D

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Q: C) prave that sbatz = Clnrtt - an for all nE B, Nzl. %3D |

A: We will prove the relation of part c by mathematical inducation.

Q: In the diagram below, A ABC = AXYZ. C z- A Which statement must be true? O ZA ZX O ZC E ZY O AC YZ O…

A: Given data: ∆ABC≅∆XYZ We know that if two triangle are congruent then their corresponding sides and…

Q: 8a+4=

A: Given : 8a+4=4+8a

Q: 1. FIND ALL NUMBERS Z SUCH A23 Bz? +C2 = D 2 4 2 THAT %3D A = 13 1| T-1117 B = 124 2] 1 -2 -1 1 3 1…

A: Given A = 242131B = -1111-2-1C = 242131D = 1-1-1-121 Clearly C=AD=-B

Q: Suppose z = 7+-8i and w = 9 + 7i. Then Re (2)=?

A:

Q: 27. If m AC = 4x-5 and m BD=2(x+20), what is mZABC? 28. If mAC = 65-2x and mBD=4(2x-5)-5, what is…

A:

Q: Show that, by det by b2 92 •92 =TT (ai-bi) br b2 b3 an

A: We have to show that det111⋯1b1a1a1⋯a1b1b2a2a2⋮⋮⋮⋮b1b2b3⋯an=∏i=1nai−bi Let us consider the matrix…

Q: 9. If VW = 9x - 11 and SU = 16x – 12, find WT.

A: Given VW = 9x - 11 , SU = 16x -12 , WT = ? STUV is a rectangle , W is the midpoint of diagnols SU =…

Q: Show that if (B) (C) = 3x N (AB)_ (BC) (CA) =y, N (A) = x, = 2x, and N N N then the value of neither…

A:

Q: ) Evaluate, using Cauchy formula C:2- (a) zz-l dz dz (6) ( e

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Q: and (A) (B) = x, = 2x, = 3x, Show that if 8. N N (AB) _ (BC) _ (AC) 1 = y, then the value of neither…

A:

Q: Given that; z=ilitil (1-2i)² and (Z-áilt Plz-3i) = 7. fiml He Vele for Pard 7 O TECNO

A: Solution

Q: 13) M²FCD = x+41, m¿BCF = x+78, and MZBCD = 95°. Find x. C D

A:

Q: Gind The lengTh and divection of AXB BXA if: A=2i , B--3j

A: Note: " Since you have posted multiple questions. As per our guidelines we are supposed to solve…

Q: Let x € U = Q and p(x) : 3x² + 5x – 2 = 0. a. Write the following statement: (3r) p(x). b. Is it…

A: Given that: p(x):3x2+5x-2=0

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.