Let G be the interval (-1/2, ∞). Let a be the operation on G such that, for all x, y = G, x x y = 4xy + 2(x+y) + 1/2. i. Write down the identity element e for (G, ¤). You need not write a proof of the identity la ii. Prove the inverse law for (G, ¤).

Q: -1.5 tan2x 2. Solve 1.5 - dx manually 4

A:

Q: For the following graphical figure, write the function x(n) and h(n) in: 1. sequential vector 2.…

A: 1) Sequential representation x( n)= {0,0,0,1,2,3,1,0,0}    ↑ The time origin (n=0)(x(0)=1) is…

Q: Let f= (157324) and g = (1 6 7) (2 4) be permutations in S7, written in cycle notation. What is the…

A: The given problem is related with abstract algebra. Given that f = 1 5 7 3 2 4 and g = 1 6 72 4 are…

Q: Given the following characteristics, select the function family that is described. Shape: single…

A: Correct answer is quadratic. As end behaviour of a quadratic equatic equation is same.    Answer :-…

Q: 12. Find the solution u(x, t) of the wave equation Uxx = Utt on RX (0,00) such that u(x,0) = x² and…

A:

Q: I. The lines 2x + 3y = 5 and y 3 II. The lines 2x + 3y = 1 and y = X 3 III. The lines 2x + 3y = 5…

A:

Q: -1²- 5. Evaluate the integral e dV, where E is the region between two cylinders z²+z² = 4 E and 2²…

A:

Q: In 7₂ [X], show that the distinct

A: To prove that the distinct polynomials x4+x  and x2+xin ℤ3x determine the same function from  ℤ3 to…

Q: How many 10-bit strings begin with "101" or "00"?

A:

Q: Find Maclaurin series for the following functions 1) e-sx Ans. n=0 (-5.x)" n!

A:

Q: Q))Solve the Recurrence relation Xk+2+Xk+1 – 6Xk = - 2k-1 where xo = 0 and x₁ = C

A:

Q: Consider the solid formed by the boundaries outside the elliptic paraboloid x² + y² = z and inside…

A: we have a solid region which is inside an ellipse and outside an elliptic paraboloid. And we have to…

Q: f(x) = 4xe-2x+3x √5x ; ƒ' (2)

A: Use the following finite difference formulae, to compute the first derivative of the function fx.…

Q: P.1. Determine the moment of inertia of the shaded area about the x and y axes. y=x² 2 m 2 m

A:

Q: erform the indicated operation and express your answer 7√50+√32 16√90+8√130 √v³ + 2v√v

A:

Q: 8 12 Let V₁ = 2 and v₂ 3 then the geometric description of Span {v₁, V₂} is -6 -9 a) Plane b) A set…

A: v1=2v2/3 Since v1 is a multiple of v2. So Span{v1,v2}= line through origin that contains v1 and v2…

Q: 12. The position of a particle moving along a straight line is given by the function S(t) = 2sint +…

A: s(t) = 2sint + 5cos2t

Q: Use the equation editor to write the equation for the function described. Type of function:…

A: This is a problem of linear transformation.

Q: Let X be a set. Let P be a set of subsets of X such that: • ØEP; • the union of all sets A E P is X.…

A: Solution:-

Q: What is the second line of f in two-line notation? Enter it as a list of numbers separated by single…

A:

Q: QUESTION 3 Let f= (17624) and g = (15632 7) be permutations in S7, written in cycle notation. What…

A:

Q: Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter…

A:

Q: Let S be the following relation on R\{0}: S = {(x, y) = (R\{0})² : y/x = 2k for some integer k}.…

A:

Q: The charactersitic equation of a 2nd​ order, constant coefficient differential equation is​…

A: Given the charactersitic equation of a 2nd​ order, constant coefficient differential equation is​…

Q: (b) Find the matrix associated to the linear transformation L below, with respect to the stan- dard…

A: Introduction: A linear map (additionally called a linear mapping, linear transformation, vector area…

Q: Let G be the interval (1/2, ∞). Let a be the operation on G such that, for all x, y ≤ G, xay= 2xy -…

A:

Q: Instructions Solve the two problems below. The first problem will utilize rules of replacement to…

A: Note that you have explicitly written on the top of your question post that you want only Question 2…

Q: (c) Show that the ideal generated by x² + y² + z² € C[x, y, z] is a prime ideal.

A: If <x2+y2+z2>is not a prime ideal, there should exist g,h∈ℝx, y, z s.t. x2+y2+z2 | gh,…

Q: The face of a vertical dam has the shape of an isosceles triangle of altitude 4 m with an upper base…

A: Given a dam with face shape of isosceles triangle(OD=4m) and upper base(BC) of 6m. AD=3m Let us…

Q: Let X be a set. Let P be a set of subsets of X such that: • ØEP; • if A and B are distinct elements…

A: The relation R on the set X is R=x, y : x∈A and y∈A for some A∈P. P be a set of subsets of the set…

Q: (a). f(x,y)= ln(2xy-11), 1 (b). f(x,y)=- √√16-x² - y² (c). f(x,y)=√√9-x²-y².

A:

Q: What is the value of the third decile in the following set of data? 27, 21, 22, 23, 15, 19, 20, 24,…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: L²₁√e ²² + 1 dz using n = 6

A: The following numerical methods are a few examples that are used to approximate definite integrals.…

Q: Based on the view from above, write an equation describing Han's vertical position v, in feet,…

A: In this question, the concept of a trigonometric function is applied. Trigonometric Function The…

Q: x=r-s, y = Q2/ Find ow/or if w = (x+y+z)³, cos(r+s), z = sin(r+s) at the point (r, s) = (0.1)

A: Given,            w=x+y+z3;   x=r-s, y=cos(r+s), z=sin(r+s)  at point (r, s) = (0, 1). To find :…

Q: Solve 34X=77 mod 89 3. Solve

A:

Q: a) the solid insider the paraboloid z = x² + y² and under the plane z = 4. Properly idenfity the…

A:

Q: The following are pen-tracing puzzles. For each shape, can you find a way to trace the shape without…

A: We need to determine if we can trace the given curve without repeating the same line twice. We can…

Q: Below are two sets of real numbers. Exactly one of these sets is a ring, with the usual addition and…

A:

Q: @ Fs [ f ² (x)} = √√ = Pf (o) - P² Fs {f(x)} proof: How.

A:

Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

A:

Q: 6. Verify that the line integral and surface integral of Stokes' Theorem are equal for the following…

A:

Q: 4) fe* sin(nx) dx je 一元

A:

Q: b) Find the inverse Laplace transform of the following function: 3s +6 F(s) = s² +9s + 5.

A:

Q: Let m be a positive integer. Define the set R= {0, 1, 2, ..., m-1}. Define new operations and on R…

A:

Q: f(x) = 3.x-3 et. 1. Using the laws of Calculus, provide the expression for f'(x)- which will be our…

A:

Q: Question 6 Who wins by plurality? (A) BBM B No winner LENI (D) MANNY Number of Votes 1st Rank 2nd…

A:

Q: 10. Particular solution of y" - 5y' = x-2, when x = 0, y = 0, y = 2

A: To find the particular solution of given differential equation :-

Q: he volume of the tetrahedron bounded by 2x − y + z = 4 and the coordinate planes.

A: To find the volume of the tetrahedron bounded by 2x-y+z=4 and the coordinate planes.

Q: Question 7 What rule of replacement is (p^q) = pv¬q? A Hypothetical Syllogism B) Idempotence Rule of…

A: Solution:-  Options (d) is correct