Evaluate re²4 dA, R= [-1, 2] × [0, 1] R

Q: List all the subsets of {x, y, z, y}.

A:

Q: Write a proof that proves the Union Un an element of natural numbers (-1/n, 2-1/n)=(-1, 2). Also…

A: The given interval is (-1/n,2-1/n) where natural number n belongs to positive integers. So that we…

Q: (p → (q ^ r)) ^ (1p → (1q ^ Tr))

A:

Q: Fill a 4X4 magic square with real numbers so that the product of the numbers in each row is less…

A: For finding the required answer first construct the magic square with order 4.…

Q: 48. -1 12 cos 2 tan-1 210

A: Topic - trigonometric identities We are given: cos2tan-1125Formulas requiredcos(2θ)=1-tan2θ1+tan2θ

Q: Vx+5 1. State the domain of f(x) = 10° using interval notation.

A: The given equation is

Q: With domain of discourse as the real numbers, prove that the following statement is false: ∀x∃y(y^2…

A:

Q: ` Prove that positive real numbers a, b, c, d, b 2 + > 3.. a b+zc+3d +c+zd+za+d+za+36 d a+zh+30

A:

Q: 5.) (x - 5)(x + 9) = 0 6.) (x+ 3) (x + 2) = 0 7.) (x – 11)(x - 4) = 0 8.) (x - 1)(x + 6) = 0

A:

Q: (-3z? – 4z + 7) - (2z2 + 2z – 1) - (2z - 3z + 7) = -3z? +z - 1 O True False

A:

Q: Let A = {1,2, 3} be a set. Then the Cartesian product Ax A = {1,4, 9}.

A: In the given question we have to tell about the statement s.t are they true or false. (1) the given…

Q: Prove that for all real numbers Ex)y= -(1u)

A: We have to prove that for all real numbers (- x)y= - (xy)

Q: Prove that m^3 + 2n^2 =36 has no solution in positive integers.

A: Prove that  there is no solution for positive integers.Let if for for

Q: Find all positive integers a, b such that a | b^2-b+1 and b | a^2-a+1

A: Solution :-

Q: 1 -4 5 -5 2 -5 1 -1 -4 A 1 -3 Describe all solutions of Ax = 0. %3D x = x2 +x4 +X6

A: Given matrix is                               A=1-45-52-5001-10-400001-3000000 Therefore the system…

Q: 2) (a) Find all integer solutions to the equation 161x + 71y =1. (b) Find all integer solutions to…

A: