2 Given U= {x |1sxs 10) and A and B are subsets of U, where A = {x | x is a prime number} B= {1, 2, 3, 5, 8, 9) Write down (1) (6) (ii) (iv) (AU B)' = A'UB. A-B=

Q: 1. Show that x^2 - y^2 = (x – y)(x + y) for all x, y in a ring R if and only if R is commutative. %3...

A:

Q: C01. Verify that for all n>1, the Sum the first 2n positive of the squares of hitegeis is giveń baf ...

A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you...

Q: What is the least number of lateral edges of a prism? * O 2 3

A: To find the least number of lateral edges in a prism.

Q: 2. Separation of Variables: Solve for: xy dx + (y + 1) e¯*dy = 0 O xe* – e* – y – 2y² = c O xe* – e*...

A:

Q: Q1.A: Find the area of the shaded region shown in figure (1). y = 1 y = x2 x 1+ y2 Figure (1) y = -1

A:

Q: у (4х + у) da 2 (x² – y) dy - - 2x2 + x + 2 ln y = C ans.

A:

Q: 2. The set of real numbers 1 for which the d²y boundary value problem + Ay = 0, dx y(0) = 0, y(r) = ...

A:

Q: P L A B Use the method above to find the distance from the point P(-3,1, 12) to the line through A(1...

A:

Q: . f(x) = 2* DA. O(x²) DB. Ω(x) Dc. O(x²) f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²) DB....

A:

Q: Let each of the vectors: A = (2,-1,3) B=(2,3,-1) and C = (-2,1,-2) extends outward from the origin t...

A:

Q: for the function f(x) = x3/3 - 3/4 x2 - 27/2 x +39 1. determine the coordinates of the turning poin...

A: Given, fx=x33-3x24-272x+39 To find :  1) Coordinates of turning points 2) Point of inflection 3) Ran...

Q: 2. x + 5y + 15 z + 35 w + 70t = 0 X + y + z + W + t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20...

A: We have to find the solution of the linear system.

Q: $102 is invested in an annuity at the end of every month at 8.5%.  Find the value of the annuity at ...

A:

Q: Use Taylor series for y(x + h), y(x – h), y(x + 2h), and y(x – 2h) to derive the FD formula for the ...

A: Here we have to use taylor series for y(x+h) , y(x-h) ,y(x+2h)  and y(x-2h)   

Q: Question 2. Let G be a finite group, H < G, N 4G, and gcd(|H|,|G/N|) = 1. Prove that H < N.

A:

Q: Given points E(6,7,8). F(-2,4,4), G(2,5,0) forms a triangle. Find the unit vector that bisects the ...

A: The vector that bisects the angle formed by the vectors: p→, q→ is defined as r→=p→q→+q→p→. The vect...

Q: Let p : X Y be a quotient map. Let Z be a space and let g : X→Z be a continuous map that is constant...

A:

Q: Suppose $2500 is invested at an annual percentage rate of 3.25% compounded quarterlyper year. A) Ho...

A: The amount after 2 years is given by  A=P1+r100nt where r is the rate of interest and t is the time ...

Q: The velocity (in m/s) of a rocket is given as a function of time (in seconds). The table below shows...

A: Given The velocity of the rocket is given as a function of time The table show the velocity of the r...

Q: cos ( - i ln3) is equal to, COS O 4/2 O 5/2 4/2 2. O 5/2 6. 4/2 23,

A:

Q: If A = log (-5), B = V-i and C = i', solve for A + B + C. Express your final answer in exponential f...

A:

Q: Now that Coowe which ewreanser he feunelion Cooue which e whe aiser he fuuneli, Under the Condition ...

A:

Q: b.) Graph t showing the point Pl3,2,413,2) and a tanyent line at P in the direction of V

A: We are given 3 things, A surface in the 3D plane ,f(x,y)=14(x2+2y2)+2. A vector, v=&lt;1,-3&gt; A p...

Q: Let G1 and G2 be groups. It is a fact that (G1 x G2 )/( G1 x {e2}) is isomorphic to G2 a) Given how ...

A:

Q: A student did this: /5 +V7 = V35. His answer is incorrect. Describe his

A: 5+7=35

Q: (a) Factor the following: · [[b-1)/ (8b² – 8b)] • [6b² + 8b] · [x² + 2x) / (3x + 6)] • [(3x + 3) / (...

A:

Q: Q2/ find the general solution of the following PDE using separation of variables xZx - yzy – z = 0

A:

Q: 2) Let f(T) e Q[T] be an irreducible polynomial of degree n > 1. Show that f(T) has n different root...

A: We will use the basic knowledge of ring theory to answer this question properly, in detail.

Q: 4- find t he absolute max. and min. o f the function f = x² +y? on the closed triangl Plate boun ded...

A: step1 : Find all critical point ( maximum ,minimum or saddle point ) of a function in the given regi...

Q: Constraint 4 & 5 are hard constraints and the rest are soft constraints. Objective Function Min: 2X1...

A: We will use the basic knowledge of linear programming to answer this question properly and correctly...

Q: 5 Age in years of players in a junior basketball league 14 9. 10 11 12 12 11 10 12 13 13 Q = Q, =

A: 5.) 6.)  

Q: Q1: Solve the following differential equations: d*y 2. +4 dy dx2 + 3y = sin(x) + 2 cos(x) %3D dx

A: We have to find the solution of the differential equation

Q: 5. Find the highest power of 2 that divides each of the following integers. a) (101111110)2 b) (1010...

A: Given: (101111110)2 (1010000011)2 (111000000)2 (1011011101)2 Which of these is divisible by 3

Q: coth x is equal to O e+e* e-e O e-e e+e* a. e +e e-e* e-e e+e

A:

Q: Evaluate L{e" (r +r* –-1)}. 6. A. (s–2)* (s-2) (s -2) 6. 21 B. (s+2)* (s+2)' (s+ 2)* 2 C. (s-2)' (s-...

A:

Q: al) Consider the following differential equation, with time domain t e (0, 1): Sy' = (t2 – 1)y, Tu(0...

A: We are given the following differential equation with time domain t∈(0, 1) is the following.        ...

Q: "The product of two negative real numbers is positive" Is given by? Select one: O a. 3x Vy (x 0)) O...

A:

Q: C. Provide the steps and reasons to establish the following logical equivalence: 1) [Gv)→(pnar)]epng

A: As per our company guidelines, we can solve first question for you. If you want other question to be...

Q: 3. Determine the following for the matrix A. (a) Find the eigenvalues. (b) Find the bases of corresp...

A:

Q: Find the eigenvalues and suitable bases to write the following complex matrices in their Jordan norm...

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

Q: Evaluate L{e (cosht – sinh nt)} 3r S+3 A. (s+3)*-n² (s+3)-a² S-3 B. (s -3)- (s-3) 2. s+3 C. (s+3) +*...

A:

Q: + e sintil dxdydz yz In3 ...b.. dxdydz..Anss. ............ ........... ...

A:  

Q: 37. Two circles are said to be orthogonal if the radius drawn from one of the circles to a point of ...

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: 2. The function f (x) = Vx – cosx has a root in the interval [0,1].

A:

Q: I will buy a new car or a new house if I get a job. I will get a job whenever I study hard. Eith I s...

A: I will buy a new car or a new house if I get a job. I will get a job whenever I study hard. Either I...

Q: Solve for a root/roots of the functions 1. f(x) = e¯* – tan x Applying the following methods a) Fixe...

A:

Q: Question 5. (a) Prove that every element in Q/Z has finite order. (b) Prove that every non-identity ...

A:

Q: If M and N be the subspaces of V that contains the set of symmetric and skew- symmetric matrices, re...

A:

Q: cut from a 12-foot board? i divided 12/3.52%3 3 so there are 3 shelves that are complete. 2.Travel W...

A: