Find the union and intersection as indicated, given the following set: A={0,4,8,12}, B={0,3,6,9,12}, C={-2,4,8} X={1,2,3,4,5,}, Y={1,2,3}, Z=6,7,8}

Q: (x-5)" 1. 5"

A: since u have asked multiple questions in a single request so we will be answering only first…

Q: Find G.M of the following Numbers : 2,3,0,5,-6

A: Given,  2,3,0,5,-6

Q: 3. Classify the following PDE as (i) Linear or Nonlinear, (i) Homogeneous or nonhomogeneous a. x u…

A: Linear Partial Differential equation:- If the dependent  variable and all its partial derivatives…

Q: A thermometer is taken from a room where the temperature is 19°C to the outdoors, where the…

A: The temperature of the thermometer in the room is The temperature outside is After one minute…

Q: (b) Make addition and multiplication tables for Z/6Z. (c) Make a multiplication table for the unit…

A: Multiplication table

Q: Find each of the following. \{1,3,5,7\} \cup\{2,4,6\}

A: To find the set, 1,3,5,7∪2,4,6

Q: Consider a rectangle where the four corners are z = 0, 1, 1+4i and 4. Find the function f(2) = u(r,…

A: Note: To be a rectangle the fourth point should be "4i" instead of "4". So, we consider the fourth…

Q: Calculate.<2, 1> + <3, 4>

A: To calculate: 2,1+3,4 Solution: To add or subtract two vectors, we add or subtract the corresponding…

Q: dp(x) Let T : P2 → P4 be the linear transformation given by T(p(x)) : - 2.xp(x)+ 3P(x²). dx where…

A:

Q: For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 33 beats…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: A real number s that is irrational is called algebraic if it is the root of a polynomial equation…

A: We will solve both the parts of this question using only basic set theory.

Q: Listed above is a double-stem plot of the proportion of peanuts in randomly sampled bags of two…

A: Given, the stem plot. To compare the distribution of proportions of peanuts of two distribution…

Q: Exercise 7 a) If T + 0 is a nilpotent operator on V, show that there exists ve V such that Tv #0 but…

A: Given that T≠0 is a nilpotent operator on V To prove that there exists v∈V such that Tv≠0 but T2v=0…

Q: Find each of the following. \{1,2,5,9,14\} \cup\{1,3,4,8\}

A: Given, 1, 2, 5, 9, 14∪1, 3, 4, 8

Q: a. In cot(1 – 4i) - b. (3e*") C. z2 – 2z = log(-2), Calculate the value/s of z d. (V1– 2i)7 i %3D

A:

Q: a. Find Cx D b. Find D x C c. Verify Card (C x D) = Card (D x C) d. Find C-D and D - C and verify…

A:

Q: (7x+19) (15x – 1) (12r+3) (4r - 3)

A:

Q: Out of 110 diesel engines tested, a rework and repair facility found 9 had leaky water pumps, 15 had…

A: A) From the given information,   count Percent=corresponding countTotal count*100% Cumulative…

Q: c.A X B; A = {2, 4, 6, 8}, B = {2}

A: Definition:-  The Cartesian product X×Y between two sets X and Y is the set of all possible ordered…

Q: The entries of A are aij. Assuming that zeros don't appear. what is (a) the first pivot? (b) the…

A: A =aij  where aij≠0we reduce A in row reduced echelon form first pivot  element is a11 bacause every…

Q: Find the following: (A U B) n C   A={4,5,6}, B={4,6,8} and  C={6,7,8,9,10}

A: To determine the elements of the combinations of the given sets A, B and C

Q: A simple random sample of 90 items resulted in a sample mean of 60. The population standard…

A: (a) The sample size is 90, sample mean is 60, and population standard deviation is 15 The confidence…

Q: a) For the polynomial a(x) = - 3x* + 7x° – x? all possible rational zeros. Circle the second…

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

Q: 3 -2 Find a, b, c, and d so that a -87 2 -3 Select the correct choice below and fill in the answer…

A:

Q: Given the probability distributions shown to the right, complete the following parts. Distribution A…

A: Given:

Q: Given the graph is y-a sinb(x-c)+d with nonge [-5, 5 ) -3 3

A: First we draw some graphs for the sine curve. Then compare with the given curve.

Q: Find T, N, B,

A: Consider the given vector, rt=sinti+2costj+sintk The formula for Tt is given as, Tt=r'tr't Now,…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.