3. If A+ I= 4. -2 then ( A+I )( A-I ) is equal to 1

Q: %23 an = 5an-1 6an-2 + こ ao= -2 and a,= 5 |. What is the Value of aa?

A: Given that, an=5an-1-6an-2+5nn and a0=-2, a1=5. Obtain the value of a2 as follows.…

Q: -8 тӑт 11.J, 2 1-m4

A:

Q: )- ニ ZS+ト 32 |ニ2+

A: To solve the equation: x+y+z=12x-4y-3z=9-3x+2y+5z=-5

Q: - 25х-1 dt 2*

A: Consider ∫25x-12xdx = ∫25x 2-12xdx= ∫25x-x2dx= 12∫24xdx                                     (1) Let…

Q: 5- If 2 - 3 3 -1 = | In y 1 5e? -5 -2 + 5 2 4 3 1 5 8 Then, what is the value of x+y+z=?

A: 5)

Q: Find the indefinte integral.

A: Consider the integral

Q: Prove that if gcd(a,b)=1 then gcd(a+b,ab)=1.

A: Given, gcda,b=1 Let, d=gcda+b,ab This implies, da+b and dab This gives, dba+b⇒dab+b2Since,…

Q: 23. If mDH= (1lx + 7), mGF= (5x + 9)", and M2GEF = (10x – 22)', find mDH %3D 5x+9=10x-22 H. mDH=

A:

Q: .2 (t²+i)² dt 1 .A 26 13 i 5 3 .B 14 i + 5 26 3

A:

Q: 2 4 Solve for x: x+1 „x not equals to 1, – 2, – 4 x+ 2 x+4 1.

A: we have to solve the equation

Q: -3 4-2 1 1 13-5 H = 013-5 5-10 -2 1. Find (1,3) entry of H. 2. Find (3,2) entry of H™!. 3. Find…

A: To solve the following given matrix.H=-34-21113-5013-5-25-101 To find 1, 3 entry of H-1.2 To find 3,…

Q: - If the quantities x, y, and z are related by the equation z = 3, then we say that z is to x and to…

A: Given equation is z=3xy. We know that if we have equation z=kxy, then it means that z is directly…

Q: 5. = P - p2 Ans: = cet dt 1-P

A:

Q: 4. If y = 3', express each of the following in terms of y: %3D (a) 3**1 - 3*- 1 (b) 32x +1 + 3*- 2…

A:

Q: Find a formula for sn, n > 1, if s, is given by 2 3 4 6 - - - 3' 5'7' 9 ' 11

A: We have to find Sn

Q: [ -2 ; 5) -3 < x < 1 x < 17 [ -3 ; 4) ( -2; 6] 2(-4-5) (8-15+3)(12:6-2)

A: To evaluate the expression involving absolute values

Q: Convert x=2y-y^2 into y=?

A:

Q: -5 1 O y =x + 3 1 O y=x -3 | O y = 2x + 3 y = 2x – 3 5,

A: The graph given is

Q: 17. If A = -3l, then what is I + 2A + 3A² + 4A³ + 5A* + ... ¤?

A:

Q: 12) Find three positive numbers whose sum is 27 and such that the sum of their squares is a small as…

A:

Q: X- -3 6. #28: #311 11 1 1 4. -6 #32: 15 #29: 9. -1 12 30: 4 17 7. #33: 14 4 16 E(x-K)- #34: #26: EX=…

A: We have given that the random variable X have 10 observations. In table, some of values are missing…

Q: Si α₁ - Calcule: ية • 14 -4 4 " . وة = 2)a₂ a1 + 3 • α₁ 3)α1 • α₂ 4)ã1 (a2 + a3) 5) (a₁a2) (azã4) H…

A:

Q: Find Following 8 the (1) 3-2i / -1+i 20 (2) 3 -4 2 4+3? (3) 3 ¿30 -¿19

A: We have to simplify the given equations. The equations are 1. 3-2i-1+i2. 5+5i3-4i+204+3i3.…

Q: [6.6] Find dy for the given values of x and Ax. 56) y = x3 + 2x; x= 2, Ax = 0.01

A:

Q: Express in the form of a + ib 1) e^((-1) (π/3)) 2) 3e^(7π/6)i 3) e^iπ

A: To express in the form of a+ib Use Euler's Formula: eiθ=cosθ+i sinθe-iθ=cosθ-i sinθ

Q: 23 22 - - (4 + 6i) z² − (5 - 10i)z = 0.

A:

Q: 8. (1-3tan ysec y)°dy

A: The given integral is: ∫1-3tanysecy3dy Evaluate the integral.   Here we use the formulas:…

Q: 4. 8х - Зу (-) -4x + 8y. 5. 6rs - 7bc (-) 9rs – 7bc 5ху - 9cs (-)-3xy + cs 6.

A:

Q: 2) 4= -4x required: a) Fih d the value of Y iF X=1

A:

Q: 5. If y = 22, express each of the following in term of y: (a) 22 + 3(2-2) (b) 4 - 3(16) (c) 22r+1…

A: 5b) Given equation: 4x-316x We know that 24=16 ⇒22x-324x⇒22x-322x2 Substitute y=22x in the above…

Q: 24 + 16 = 0 e22-2z-3 = 0 iz = (-i)(-i)

A:

Q: -1/4 2 dt 37. Vi + 41Vi 1/12

A: First solve the integral and then substitute the value.

Q: -6- -5- B(4,4) C(12,4) -4- 3- -2 A(0,1) D(8,1) -2 -1 0 -1- 1 2 3 4 5 6 7 8 9 10 11 12 13 14 --2 y =…

A: we have given a parallelogrami assume we have to find which are equation of the sides

Q: 4. Find ez dz fa-1+31-8 (3² + 1)(= + 9) |z-1+j|=/

A:

Q: 1. 11. 2 ( 2/3, o) 1 y-5 2 4 (3) 2 (13/3, co )

A: Inequalities.

Q: 1. Lat A - [; : - and B = 2 2 1 3 4 (a) Compute AB. (b) Compute BA.

A:

Q: -1 Given 4-3 x-2 0 0 2 x+1 and 14--5, Determine the value of rand (4)

A:

Q: If the quantities x, y, and z are related by the equation z  3xy,then we say that z isto x and to…

A: we have to fill in the blanks: if the quantities x, y and z are related by the equation z=3xy then…

Q: 2 P2(x) = 7 .2 =17 9. - - 2 2 9. P3(x) =|7 – 2 - 2 7 7 2 9. + 24 9. PA(x) = - - | 2 [72] Pn(x) =…

A:

Q: The set of solutions to z^6=−i is?

A: We have to find The set of solutions to z^6=−i.

Q: 4. If x - 2y = -1 and x + 2y = 3, then a +y is equal to O 1 O ♡

A:

Q: у" — 2у' + у 3 et x5 when y(0)=1; y'(0)=2

A:

Q: 2 뜸 뜸 22 dy O 1-2- 22 = 20 0 x fe 100 1

A:

Q: 1 I find : let A- -1 (-2 -3 4 , find A-B. B- -1 4) -3 1

A:

Q: 29. y = x- 2 33. y (x- 3) + 2 30. y x + 3 34. y (x + 2)² + 1 32. y (x- 2) 36. y = -(x + 2) 31. y =…

A: (29) y=x^2-2 The function shift the basis graph down 2 unit . Vertical shift down 2 units.

Q: 4 Given that (5A ) -3 -17 52

A:

Q: 5x + 1 If y = then y' will be %3D 2x-1 – In 7' 5(2x** – In 7) – (Sx + 1)+) A. (2x- – In 7)2 5(2x-' –…

A: Given y = 5x + 12x-1 - ln 7

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.