Find the radius of convergence and interval of convergence of the power series n=1

Q: The base of a triangle is 2cm more than the height. The area of the triangle is 12cm^2.Find the heig...

A: Area of the triangle

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Parametric equation of the line

Q: Consider the ODE /(t) = 2t - 2y(t) +1 (i) Find the general solution of the differential equation (ii...

A: Given DE is  y'(t)=2t-2y(t)+1......(1) (i) We find general solution of DE (1).

Q: Let X be a random variable with p.d.f f(x) = c+ 1.2x2,0<x< 1. Find a constant c if E(X) = ! 0.6 0.4 ...

A:

Q: Find gcd(2,3+5i) in Z[i], ii. Show that 3 + 4i and 4-3i are associates in Z[i] iii.Determine the spl...

A: (i)

Q: Q2) Find z transform for 1- X(n) = n? cosne

A: To find the z transform for  Xn=n2cosnθ

Q: Dad wants to give ₱5,000 to his four children in the ratio of 1:2:3:4 for their weekly allowance. Ho...

A:

Q: 18 sin=+icos- 3.

A: Given complex number is sinπ6 + icosπ618

Q: The solution of the differential equation y" – xy' + y = 0 is y = ce¯* + cze2* y = 1- x? D This opti...

A:

Q: B: Represent the region shown in figure (2) by double integrals of order dydx, dxdy and rdrde. y = V...

A:

Q: Janine is a 9 year old, who weighs 27.5 kg (within the normal weight range). She has been prescribed...

A: This is a problem of counting.

Q: (d) y" – 8y' + 20y = 100x² – 169xe". -

A:

Q: [8] Fill in the blanks to rewrite the following statement with variables: Is there an integer with a...

A:

Q: Linearize: around %3D

A:

Q: 3. Sx³dz

A: Let I=∫x3dx1+x2.

Q: Find the following and show how you get your final answer(s) A-1 = B-1 = АХВ —

A:

Q: g (x) = In( 1- 2 x ) a) Series: En=000 Submit Answer 3/8 Brevious ies b) First four nonzero terms: c...

A:

Q: Let G be a group having two finite subgroups H and K such that gcd(|H.K) 1. Show that HOK={e}. Justi...

A:

Q: 2. Calculate the point(s) of intersection of f(x) = 2x² + 4x – 11 and g(x) = -3x + 4.

A: Given f(x) = 2x2 + 4x - 11 and g(x) = -3x + 4

Q: Write the exponential form of the complex number: 3+4i

A:

Q: a piccewise Snction. Cleasly label bounday values. Make Sue the Shape of each seqmert.is corsect. Gr...

A: Given function is fx=−x2+4,   x≤02x+4,     0&lt;x≤2x−33,   x&gt;2. We have to graph the given piecew...

Q: 4. sin (4x – y)dy dx 2

A:

Q: Evaluate, sin(4 – 3i) O 10.04240.68° 10.04Z – 139.32° O 9.71Z – 137.52° 10.04Z139.32°

A: We evaluate sin(4-3i)

Q: Find the location and type of all critical points by first converting the ODE to a system and then l...

A:

Q: Let X be a random variable with p.d.f f(x) = 2x, 0 < x < 1. Find E(Vx). 2/3 5/4 3/2 4/5

A:

Q: (b) Find the area of the triangle whose vertices are A(0,0,0); B(1,1,1) and C(0,2,3).

A: Given vertices are A0,0,0, B1,1,1 and C0,2,3. We have to find the area of the triangle whose vertice...

Q: 2 Consider the IVP (x + 1)²y" – 2y = 0, y(0) = 1, y'(0) = -1. Determine all ordinary points of the d...

A: Since you have asked multiple questions, we will solve the first question along with its subparts fo...

Q: A topological space (X, t) is a T1-space iff t contains the cofinite topology on X.

A:

Q: :Q6-. Find the Fourier series for the function below S 0, -A < x < 0 S (æ) = { f(x) and has period 2...

A:

Q: Find the sum of the residues of f (z) = sin z at its poles inside the circle |z| = 2. z cos z

A: Residue theorem∮f(z)dz=2πi(R1+R2+.........Rn)             =2πi(sum of the residues at the poles with...

Q: 1. Find the Laurent series for (z-3)sin z+2 about the singularity z = -2.

A:

Q: Solve: dy/dx = 1 + exp(y - x + 5).

A:

Q: Find the surface area of a quarter of the sphere x? + y2 + z2 = 4.

A: The equation of a sphere centered at x0, y0, z0 is defined using the formula: x-x02+y-y02+z-z02=r2, ...

Q: 1. Let A be a nonempty collection of sets. Determine the truth of each of the following statements a...

A:

Q: please send handwritten solution for Q4

A:

Q: Question 5 Find an invertible matrix P and a diagonal matrix D such that PAP=D. To -2 1 A = 2 -4 1 4...

A:

Q: A topological space (X, t) is a T1-space if and only il for each x e X, the singleton set {x} is clo...

A:

Q: 1Fin a normed space X, the a bsolute convergence of everyseries al ways implies convergence of the s...

A: Let X  be  a normed space . We have given that absolute convergence of every series in X always impl...

Q: P(1,0,4), Q(2,4,6) and R(-1,3,6) makes up a triangle find a. perimeter of the triangle b. area of t...

A:

Q: 1 -3 -1 -5 3 3 Transform the matrix A = 1 3 to reduced row echelon form (RREF). 5 7 9 1 1 3 -1 Hence...

A: According to our guidelines I solve first 3 subparts so kindly request you to repost the remaining q...

Q: Re-write. the.ethar.five.iterated.nt.eg.ral.s. 2 Fang, z)dydzdx -I x2 d

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: The depth of water in a harbour varies as a function of time. The maximum depth is 9 feet and the mi...

A:

Q: Ex: 1. Let (an) and (bn) be two diverge sequence show that whether (an + bn) is converge or diverge ...

A: Multiple :    Let , an  ,  bn are two divergent sequence. We need to check that whether an + bn dive...

Q: f F = 2ui – (-u³ + 4)j – u²k and G = t²i – 3tj + tk at u = 1, t = –-1. Calc a) F×G a2 d) :(FxG) дидt...

A:

Q: Solve the equation z? + 27 = -1+ 6i ; [Let z = x + yi]

A:

Q: a) If A belongs to B and B belongs to C, then A belongs to C. b) If A belongs to B and B belongs to ...

A: Solution

Q: 2- Pind fxx , fr and fxy for the following: f = tan'i x +y) f = e coS(X-y)

A:

Q: Problem 3. A vase that starts off being filled with water to a height of 5 inches, is filled with mo...

A:

Q: 6. An insurance company has an obligation to pay the medical costs for a claimant. Average annual cl...

A: Solution:-

Q: PPROBLEM SOLVING Directions: Read carefully and write your answers on the black provided after each ...

A: