门4(z + 1)ele+1) de

Q: (2) |R| = |2N].

A:

Q: In2 + 5n + 4 lim an = 1 %3D %3D 3n2 + 8n + 8 n-00 1n? In2 5n + 4

A:

Q: 3 ve AB: BBT = ? A FIND 7. 4 2 OA) 2 -1 4 -2] OB) -2 1 [] --4 2° 2 1 OD) -4 2 OE) 2 -1

A: We have to find BBT .

Q: 4. y=e2 y=e", x= In 2, and x = In 8 %3D

A:

Q: Vx (1- 2 In 1 1-x/2 | + C A ! In 1 1-x/2 | + C 2. -2 In I 1-x/2 | + C -In 1 1 -x+/2 | + C O A O D E…

A:

Q: 2 x³ dx -6 √x²-9 Evaluate O44√3 24√/3 34√5 34√3

A:

Q: 3. x In x A In С п IInxI + С - + C Inx B D In I In xI + C Inx

A: ∫πx ln xdx

Q: Suppose z = 5+ –2i and w = -5+ –4i. Then Im(zw) =? %3D

A: zw=(5+ -2i)(-5+ -4i) Implies zw= -25+10i - 20i + 8i2 Implies, zw= -25 - 10i - 8  [since i2= -1 ]…

Q: (b) Show that o = 2[Rx(0) - Rxx(0)] XX

A:

Q: Q5 Show that EL >². n n =1

A: Consider that x is a random variable. From the formula of population variance;

Q: 4sin(2x)=4cos(x)

A:

Q: ker(A) = R104 %3D O ker(A) = {0} %3D ker(A) cannot be determined from this information

A:

Q: E1 (arctan(2n+1) – arctan(2n – 1)) n=1

A: The given series is: ∑n=1∞tan-1(2n+1)-tan-1(2n-1)

Q: Expand x?y + 3y – 2 in powers of x + 1 and y – 2. (up to third degree terms).

A: Given :- The given expansion x2y + 3y-2 in powers of x+1 and y-2.

Q: * :The nth term formula for { 1,0,1,0,... } is 1-(-1)" 2. an = A₂ = An خيار 2 1 + (−1)" 2.

A:

Q: -In2 2e® cosh 0 do -In 4

A:

Q: How do I calculate this? If Z~N(0,1), calculate Pr(1.55 < Z < 2.65)

A: Given that, Z~N(0,1)

Q: nson meth x-1 = 0. I

A:

Q: (-1)^ xIn lIt) = (-1)" (n+ 2 2n+1(n + 1) che exact value of

A:

Q: 18. Find Itm,..(xe -x) O 2 O O O

A:

Q: lim In(12x+ 1) csc(4x) A) 0. B) 1. C) е. D) 3. E) 0.

A:

Q: Find all the values of In(4 – 4j). What is its principal value?

A:

Q: 7) [ysin x'dxdy ans:(cosl-1) 6.

A: We use change of order of integration method to solve the given integral. We change the order  dxdy…

Q: How many real-valued solutions over (-1,1) are there to the following ODE? y = x /1- y + y…

A: Given - Given ODE : y' = x1 - y' + ylnlny' + eπxy To find - How many real-valued solutions over (-1,…

Q: y ev = z - 1: y (2) = 0 O = In(z² – 2x + 1) O = In(z? – 2z) + C O = In(z² - +1) O = In(z² – 2z)

A: The differential equation is given by yy'ey2 = x-1 The initial condition is given by y2 = 0 To…

Q: The characteristic of Z5[x]/ 3 5 O O C

A: Introduction: The characteristics of a field is either 0 or prime. Suppose, a polynomial fx is…

Q: 2) × if it was 2+4i and 2=3-1 3+1 2+i 2 prove that x² + 3xy + y² = 6 =

A:

Q: 2л 4sin 0 d0=--- O a. 1 O b. -4 O c. 0 O d. 4

A: We have to find integral.

Q: 31 Ovr Qv(31)2 O (3x)²

A: Laws of surds and indices are used.

Q: 23 1 dr Evaluate - Express your answers in the form: Axm + Br" + DxP.

A:

Q: Find FSI = ? Fn = 15 -55 2 V5

A:

Q: 49" + 16n – 1 divided by 64, Vn E N+ -

A:

Q: (AB) = 30 (АВ) 3D 10 Calculate the Coefficient of Collignation. Given (aß) = 5 (а.В) %3D 5

A:

Q: (2+k)dr Evaluate 1– sec (x+a) 1- sec

A: ∫2+k1-secx+adxTake the constant out=2+k·∫11-secx+adx Now,    ∫11-secx+adxLet…

Q: 37. (а) In x %3D 3 (b) In e² %3D х

A: The x value of lnx =3 is calculated as shown below

Q: dz and ду dz Find z = a° In (1+ cy) az dz ду ||

A:

Q: 4. Evaluate and leave your answer in exponential form r(2+ i)+ iy(2 - i)- = 3(1- 2i)1. Where r, y ER

A: Givenx2+i-1+iy2-i-1=3(1-2i)-1  where x,y∈ℝTo evaluate and leve answer in exponential…

Q: expressed

A:

Q: Let b₁ 2 = sin−¹ (²) and c, = sin-¹ („²7) for all n € N such that n ≥ 2 +00 Σ(1+bn) n=2 Σ(bn-Cn) n=2…

A:

Q: The series 3i+ 6i+ 9i+ 12i+... diverges because

A:

Q: xInx A I In xI+C C. In I In xI+ C 3 In I In xI+ C -In I In xl + C 3.

A: We can solve the integral as below

Q: solve. write your anS w ers in suentific (-3.4 x 10*) + (5.2 x 10*) © (6.812 x 102") + (4. 3 x 102)…

A:

Q: -1)" (3n+2)| x2 By differentiating 1+x3 En=o[(-1)"(x)3n+2] , find the exact value of E-o 8n

A: Given: x21+x3=∑n=0∞(-1)n(x)3n+2To find: The exact value of ∑n=0∞(-1)n(3n+2)8n By using…

Q: Suppose z = -18 + 14i and w 16 + -13i. Then Re (z + w) =? %3D

A:

Q: 14. Substituting appropriate values for x and y into the formula of Theorem 9, show that (a) = 2";…

A:

Q: re + e Show that 1. 2

A:

Q: 7. E(-1)"- Vn +1 n=1

A:

Q: 14. If u(x, y) = x² cosh(xy² + 1), evaluate in the simplest term the expression ди ди 2x - y- əx ду

A: Given u=x2coshxy2+1