If m ∠ D R C = ( 5 x + 42 ) ∘ and m ∠ C R A = ( 2 x + 75 ) ∘, then x =____?

Q: a – b -| < 1, if|a| < 1, and |b| < 1. 1- āb - Show that|-

A: From the given information. For , then show that .

Q: = { (; ):a,b e R}with the standard operations in M22. Which of the following statements is true?

A:

Q: If A=0 2: B= , then [3] |-3 4 AB is not defined [11] AB = 6 6.

A: Given that:A=1-102-34 and B=23

Q: What is the element a32 from A1 1 - 2 - 1 - when A 2 1 1 -1 2 - 3

A:

Q: Prove : (A-B)n C =(A n C) -B

A:

Q: Let W = {1+ ax + bx? E P2: a,b ER} with the standard operations in P2. Which of the following…

A:

Q: If E[X]=−1E[X]=−1 and Var(X)=5Var(X)=5, then E[(3+4X)2]= and Var(2+5X)=

A: Given, E[X]=-1 Var[X]=5 Concept: E[Constant]=constant Var[constant]=0

Q: Evaluate f2Tof 1 0 rdrde

A: The given integral is: I=∫02π∫01rdrdθ   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: What is the coefficient ot x" in (x+3) '9? What is the coethicient et x? in the expanson ot lx +2) 4…

A: Binomial theorem expantion

Q: Given A below, find M32 -1 -9 A = 4 -5 -7 -6 -4 6 M32 = Ex: 5

A: Using , definition of minors of elements of matrix,

Q: Find the inverse of P = 4 if it exists. 1 -3 2.

A: SOLUTION-

Q: Determine the product of the following: (x - 3) (x + 7) O x2 – 4x + 21 |- O x? + 4x – 21 O x - 10x +…

A: The given equation is:    (x-3)(x+7)

Q: 75. If f(7) = 13 and fis one-to-one, what is f(13)?

A: For a function domain is set of values for which the function is defined. The range of a function is…

Q: Let 2 4 10 4 2 3 A = B -1 1 1 2 2 4 3 0 0 1 3 Carry out the indicated operation, or explain why it…

A: Given,

Q: If E[X] = 2 and Var(X) = 5, then E[(4 + 5X)2] = and Var(5 + 4X) = %3D

A:

Q: Find a and b such that 2 1 = a -4 + b -4

A:

Q: Show that ∗ : R × R → R given by         (a, b) → a + 4b2 is a binary operation.

A: Given for all real number a and b

Q: Let Find M13 and C13. M13= i C13= i A || 0 29 8 -5 -5 0 -3 -8 4 5 - és ér 8 -4 4 0

A: In this question we have to find the value M13 and C13. Where M represent Minor and C represent…

Q: Find x if BC=1,AC=x+5 and AB=2x-2

A:

Q: Prove the general formula φ(gcd(a, b))φ(ab) = gcd(a, b)φ(a)φ(b).

A:

Q: Which of the following has restrictions x= -1,2? O O (x + 2)(x + 1) (x + 2)(x-1) X-2 x+1 X+2 x-1 (x…

A:

Q: Let W = (a + bx + cx'| a +b>1 ) with the standard operations in P. Which of the following statements…

A: The answer to this question is

Q: If Ua = {(x1, x2, x3)" E R³|x1+ 2x2 + 3ax3 = a} is closed under addition, then a = 0. Prove that the…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Let A- r 1 3 2 -1 -3 -1 -2 -6 3 1 find that € Col (A) కం 104

A: Given matrix is A=1302-1-31-1-2-63-1 and b=1a4. We have to find the value of a such that b∈ColA.…

Q: If 2x³-4x² + x + 1 = 0 so x = 4x² - 2x³ - 1 then x5-x4|<e, X4 = 1.36603, x5 = 1.366024, is the error…

A: Given x4 = 1.36603x5 = 1.366024

Q: If A= xe Z:2" = 1 and B = {x e Z:-4 < 3x-1<11}, then find n(A×B),where Z is a set of integers.

A:

Q: Suppose that 2 . В — -4 2 -1 -3 A 5 1 1 3 -3 Which of the following operations are defined: (i) CB"…

A: By using matrix order

Q: a. {x]x 54, x € even integers} d. {x]x > 54, x €negative integers} O {x]x 54, x Enegative integers}…

A: Set builder form of the given set

Q: Suppose 671 + 3v2 – 203 = 0. - Let w = 301 – 6v2 – 403. Which of the following must be true?

A:

Q: Let W = {(x, X2, x)| 3x, - x2 = 0) with the standard operations in R". Which of the following…

A:

Q: Show that if f : A → B and g : B → C are one-one, then gof : A → C is also one-one.

A: To show that the composition of two one to one function is also one to one.

Q: If f(æ) = a² – 9 and g(æ) , then (go f)(Vī1) is , æ +8' O 0.80 O 0.20 O 7.00 O 64.00 O 16.00

A:

Q: Suppose that ƒ(-1) = 3 and that ƒ′(x) = 0 for all x. Must ƒ(x) = 3 for all x? Give reasons for your…

A: Given that

Q: Evaluate ∫03 (4f(t)−6g(t)) dt given that ∫015 f(t) dt=−7,  ∫03 f(t) dt=−8,   ∫015 g(t) dt=4, and…

A: We use the property of definite integral shown on board.

Q: If n(x) 3 x- - 6c, find (p o n)(x). 8 and p(x) = x? © (pon)(x) = x² - 6x + 112 O (pon)(x) = x² – 5x…

A:

Q: Prove AX(B−C) = (AXB)−(AXC)

A:

Q: If f(æ) = x³ and g(æ) = 10 – 3æ, then the value of f(8) + 9(8) is %3D O -14 O 498 O 1494 O 512 -526

A: Given  f(x) = x3 g(x) = 10 - 3x To find f(8) + g(8)

Q: If x = (3.4,-0.12, 4.17,-0.045) in R then -0.743L= a. -5.7471 b. 5. 1747 5.7471 O d. -5. 4771

A:

Q: Given A below, find C12. 3 -5 A = | 6 -8 -9 5 -1 7 C12 = Ex: 5

A: Explanation of the answer is as follows

Q: What is the base of y= -1/2log(x+1)-5

A: This matter of base is different in different different subjects. Since we are studying now maths ,…

Q: Suppose f(x)=2.3*x4 and g(x)=−0.4*x3 . Which of the statements is not true?   Group of answer…

A: The functions area given by fx = 2.3x4 gx = -0.4x3 To evaluate: The end-behavior of the function.

Q: 14) Find x if MZBJK=146 + 2.x, M2IJK = 172°, and m2IJB = 2x + 26. K

A:

Q: Let W = {(x,x2, x 3x,- x2 = 0} with the standard operations in R'. Which of the following statements…

A:

Q: If the order of A is 4 X 3, the order of B is 4 x 5 and the order o: 7 x 3, then the order of (A"…

A: It is given that, Order of matrix A is 4×3,  The order of matrix B is 4×5 The order of matrix C is…

Q: Disprove the following: If x|ab, then x|a or x|b.

A:

Q: Ifais 2' x 31x 5° and b is 22 x 3' x 5' then gcd(a,b) is: 3x 32 x 52 Ox 31 x 50 3x 32 x 50 3x 31 x…

A: Given :-  a =  21×31×50  b  =  22×31×51

Q: 1) if a•b = a•c and a ≠ 0 does b = cExplain 2) axb = axc and a ≠ 0 does b = cExplain

A: (i)Consider a.b = a.cSince a ≠ 0, dividing both the sides by a, (ii)Consider axb = axcSince a ≠ 0,…

Q: Evaluate if possible a) 2 ∞ Σα η=4 n2+4n+3

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.