4. Given the FOl owing conditions, give an example and explain your an swer. 8 a. Cn is convergent but ncn is divergent n=1

Q: a. s2 +6s+25 s2 b. (s-1)3 7 C. s4 6. 8. s3 s2 S

A: To find:  inverse Laplace of the given functions. Please post the multiple questions separately.…

Q: Example S = {q1 = 2 + x + 4x², q2 = 1 - x + 3x², q3 = 3 + 2x + 5x²} a. Show that S is the basis for…

A: The given question is related with linear algebra. Given that,               S = q1 = 2 + x + 4x2 ,…

Q: Question 3.1. Let's think of the set of n-by-n matrices as R by using the matrix entries as…

A: Given :   D⊂ℝn2Let  A∈DThen  A = (a11 , a12 , ....... a1n , a21 , a22 , ....... , a2n , ...... an1 ,…

Q: Q32: what's the relation between prime and semiprime ideals?

A: Solution

Q: Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x + y is…

A: Given function is fx,y=1,           x,y=1,−1x2+yx+y  ,x,y≠1,−1 . We have to show that the given…

Q: X dy+y dx ex cost dx dy 6- %3D CoS X -zy

A:

Q: Solve for all the roots of x using Bairstow's Method starting at r= 0.25 and s1 = 8.75 of the…

A:

Q: Q29: Define the Boolean ring. Is (Z,+,.) Boolean?

A: We need to define Boolean ring and we need to identify whether the ring ℤ , + ,  · is boolean ring…

Q: 3) Consider the location of Fatima and Kiran to be at F(-2,6) and K(3,-4) respectively. Both decided…

A: We have to find equation of path n1

Q: A space X is locally connected if and only if for every open set U of X, each component of U is open…

A: it is given that X is a topological space which is locally path connected and U be an open set in X.…

Q: d'x dt? de - 4x =0 ,x(0) = 1,(0) = 2 di dt

A: Follow the steps.

Q: Q4: prove or disprove each of the following a) Every group has one generator. b) Every group of…

A:

Q: f(t) RIN RIN

A: Here the graph of function is combination of line segments . using the formula for equation of line…

Q: Calculate the inverse of 15 mod 26 (i.e., solve 15 * x ≡ 1  (mod 26))

A:

Q: 7. (3+ 14)š

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Consider sets A and B with |A| = 14 and |B| = 19. a. How many functions f : A → B are there? b. How…

A:

Q: a. Give an example for a commutative ring without identity. b. True or False: Every ring is a group.

A: To find the given questions :-

Q: 2. Expand f(2) = in a Laurent series in the region 1 1. 4. Find the isolates singularities of the…

A:

Q: O feet feet 2 Blue arrow represents 3 inches to the next "pleat" 4 arrows x 3 inches= 12 inches of…

A: Solution :  1. 1 foot = 12 inches. Total number of arrows of 3 inches=12/3=4   Total cloth used in…

Q: Quetion 11/15 ميز هذا السؤال A travelling salesman makes a sale on 35% of his calls on regular…

A:

Q: (B) Define the triangle group. Then 1. Find all subgroups of it. 2. Is it abelian? Why?

A:

Q: Using iterative method, solve g(x) = S(x) + 2 f e*¨*g(t)dt %3D

A:

Q: If event X cannot occur unless event Y occurs first then: a) Y is necessary for X b) X is necessary…

A:

Q: 12: Define the concept of field. Is Z a field?

A:

Q: Let f(t) be continuous for all 120 and be of exponential order as t o and if

A:

Q: Solve the following differential equation: dy x2 + y2 %3D dx 2хy

A:

Q: Q3: (A) Prove that 1. There is no simple group of order 200. 2. Every group of index 2 is normal.

A:

Q: Locate the vertex, the focus and ends of the latus rectum and find the equation of the directrix,…

A:

Q: Suppose f"(x) = N;(h) + a,h' + a;h + a,h + When calculatng N, (h) using Richardson extrapolation,…

A:

Q: Q3: Prove or disprove any four of the following 1.Any abelain group is simple. 2. Any field is a…

A:

Q: sing Logarithmic Differentiation, find dy given that dx -3 sec-1(VT) y = 4* (log, x)sech x

A:

Q: Exercise 6.3.12. Suppose G is a group, a, b e G such that gcd(la\, [b|) = 1. Prove (a) n (b) = {e}.

A: Suppose (G,.) Is a group . Let , order of a and b is m and n respectively. Then am =e , bn =e .…

Q: Use the extended Euclidean algorithm to find the greatest common divisor of the given numbers and…

A: Given: Linear combination 5055s+1905t To find: The gcd and the value of variables s and t

Q: 4. Consider the following function: 2. -2 < x < -1 f(1) = {r, -1<r<1 1<r<2. 2-I, (i) Sketch the…

A: The graph of f is sketched as shown below.

Q: 9. z4 – 3iz? – 2 = 0

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: 1. Find the first 11 terms of an arithmetic sequence in which the third term is 10 and the eleventh…

A: As we know that :nth term of AP = a+(n-1)dHere we have        a11=42 = a+(11-1)d..............(1)…

Q: D: Define nilpotent element. Are 1 and 3 nilpotent elements of Z11?

A: Solution

Q: For every item given below, determine which kind of algebraic structure it is, and give at least one…

A: No-7) Given  G=Z+  defined by (a*b) =min(a,b)a      where ... is absolute value. First check about…

Q: Find the circulation and flux for the field F(x, y) = (y – 6x² , x+y²) around and across the…

A: Given data field Fx,y=y-6x2,x+y2 around and across the triangle given by y=0, y=x and x=1.

Q: 3 cus X dx 2 dy (3 x+2)

A: According to guidelines here solution of only firt question

Q: 1. Solve the simple equations: 7x -2 19 - 4x + 3 = 1 3 2 2x + x- 13x + 6= 0 2 Solvo uei

A: Solution

Q: -2ln(cosx lim, 0 ,2

A:

Q: 3x2+2 dx 2x2+4x+3 In 12| 2 In 13| Option 1 Option 2 In |3| 2 In |21 3 Option 3 Option 4 None of the…

A:

Q: azu Q5) Find u such that ax2 with u(x,0) = 0.5x2, u(x, 10) = 0, u(0, y) = 0, = 0 %3D u(20, y) = 1…

A:

Q: Find the shortest path between vertices a to z in the weighted graph. b. Find the length of a…

A: Here we use the Dijkstra's algorithm to find the minimum spanning tree for the graph From minimum…

Q: A subspace of a completely regular space is completely regular.

A:

Q: 013: Define and give an example for (integral domain ring, zero divisor).

A:

Q: Aufgabe H 86. Euler and de Moivre's formula (a) functions of the form einz with neZ. Write f(x) =…

A: Note : As per our policy, we are allowed to answer only first two of question kindly post remaining…

Q: ) Consider The system <-3 Find a fundamental matrix for thisgs ten ) Find the solutien of the syetem…

A: