2. Find the formula of the general n th term . (i) (1,3,5,7,.) (1 2 3 4 (ii) 2 3 45" 11 (iii) 48 16' ...

Q: (iv). Describe the following geometrically: (a). | z |= Re(z) + 1. (b). Im(22) < 2.

A: As per company guidelines for multiple question posted we are allowed to solve only one question at…

Q: Sin (n+))x Conv. unif nナノ on Prablem (5) Is the senies

A: The given series is: ∑n=1∞sinn+1xn+1 The given interval is: 0,π

Q: 1. Which explicit formula is equivalent to aj = 1, a, =-6an-1? %3D O an = 1(-6)" O an = -6(1)" O an…

A: we have , a1=1 and an=-6an-1

Q: Find the general solution of the given ODE. (x+y-1)dx - (x + y)dy = 0

A:

Q: 3.4.4). Show that the following sequences ore a) (4- (-1) ² + 1 - ) bj (sin nTT/4). - (1 divergent.

A: The given sequences are(a) and (b)  .To show the following sequences are divergent.

Q: Find the value(s) of z which satisfies the equation |z|2 + 1 + 6i = 6z.

A:

Q: 18) Use the formula ( not Venn Diagrams) to do both parts of this question. n(F) = 23 n(G) = 25 n(F…

A: There's something wrong with given numbers. Check it out with your guide. Have a great day!!!

Q: 13 Prove that n=2²°² is a square. 2K+1 where K = 1 (n)

A: (.)   Given ,                      n = 22k+1 (.).  Euler's  ϕ-function  ϕ(n) counts the number of…

Q: -6 -3 0 3. [15p] А: and B Show that det A+det B ± det(A+B). 0 -12 1 9

A:

Q: - PROBLEM For any real numbers C1, C2, ..., Cn show that n S COS | CRT₁(x) dx = [] cos CA. k=1 k=1

A:

Q: (eot – e2t 7. (entry #22)

A:

Q: 7.46. Evaluate 2z² +5 (z+2)³(z²+4)2² C 2+2i, 1+2i. dz where C is (a) |z-2i = 6, (b) the square with…

A:

Q: M8 (2-3x)"

A: Given: Series ∑n=1∞2-3xnn3n To find: Sum of given series.

Q: Which of the following is the true match for cartesian equation and the corresponding parametric…

A:

Q: 1. Find the value of k so that the ODE (y³ + kxy¹ − 2x) dx + (3xy² + 20x²y³)dy = 0..

A:

Q: (3) If resistors of R1, R2 and R3 ohms are comnected in parallel to make an R-ohm resistor, the…

A: Partial differentiation.

Q: (a) Evaluate . z²e1/z where c is z = 1.

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: f(x) 3 alog,(cx – d)

A: This is a problem of Numerical Analysis, Reimann Integration.

Q: Given the formula P(X = r) = (,) p"qn=r where r=0,1,2,3,...,n and q = 1- p. %3D (a) If n=7 and…

A:

Q: 2) y" - 2xy' +y

A:

Q: (c) Let A = 1 2 10 Find a formula for A", for n = 1, 2, .... :

A:

Q: (a) √2 (b) a b с Leta d e = (2,-1,1) and b = (1,1,2). Find || b-proj b. (d) 23 (e) None of these (c)…

A:

Q: 3. Find a closed form for sn = i-1 (15 — 5і). Sn (3 – 8i). 4. Find a closed form for sn = i=1 Sn ||…

A: close form is given below

Q: tr(AA') = (tr(A))* There exist square matrices A and B such that AB-BA=I.

A:

Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st…

A: Given that, There are two statement following, 1st : xsiny' = (x2 + 1)(y''')4 is a 4th degree ODE.…

Q: 9.7. Evaluate the following and find their principal values: (a). (1+i)', (b). (-1)", (c). (1 – i)“,…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the product. 10 5.0 O 48xy .x * 0, y 0 25 O xy? -, x * 0, y 0 O 3xy², x + 0, y + 0 O 25xy° , x+…

A: Given: An expression for product 4x10y75x9y3·5x5y412x5y6

Q: We are given A e R™** and its inverse A- E R"X: [11 2 22 2 1 1 2 22 11 2 2-2 2-3 2n-4 .... 1 -1 -1 1…

A: Condition number: The condition number of a matrix is given by, κ(A) = A∞A-1∞. Norm of matrix: The…

Q: Find the value of k so that the value of S,"(2y – 1) dy is 10. 1 2 3 4

A:

Q: 23 The value of cot Scot Scott n=1 (a) 23/25 (b) 25/23 (c) 23/24 n 1+ Σ2k k=1 is (d) 24/23

A: