(iv) The power set P(C) of C by listing down the elements directly. Let Z be the set of all integers and Q be the set of all rational numbers and R be the set of allreal numbers, A = (20, 100], B = (90, 150], C= {70, 100, 200}, D = (10, 30) and E = {x e Z:X =7 (mod 10)}. Find:

Answered: Image /qna-images/answer/0aa36689-e584-4b20-a65f-f215dd3a67ec.jpg

Answered: (iv) The power set P(C) of C by listing…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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HW2: Find A*B and B*A if: 2 -3 -5 -1 2 B -2 1
Answer (c) with all the required steps.
The following table gives the number of American households (in millions) with cable TV in year t. t = Year 1990 1995 2000 C = Millionsof households 52 60 69 (a) Find C(1995). _____million households(b) Explain what C(1995) means. This means that 60 American households had cable TV in 1995. This means that 60 million American households had cable TV in 1995. This means that 60 American households had TV in 1995. This means that 60 million American households had TV in 1995. (c) Find the average rate of change per year during the period from 1995 to 2000. _____million households per year(d) Estimate the value of C(1996) to one decimal place. _____million households
2. What Mathematical Operators or function will you use to add, subtract, multiply, and divide polynomials? Note: Assume two polynomials are given. A. +, -, *, /B. +, -, conv, deconvC. .+, .-, .*, ./D. none of the choices
Evaluate (z – 2)(z² + 9)
A D E (i), (vi) (iii), (v) (iii), (iv) (iii), (vi) (i), (iv) We know the order of A3 is 3. Determine the orders of A4 and A5 (i): The order of A₁ is 4 (ii) The order of A4 is 6 (iii): The order of A4 is 12 (iv): The order of A5 is 5 (v): The order of A5 is 30 (vi): The order of As is 60 :
Determine the value of the element in g32 -3 15 0 G = 0 3 3 1 -1 6 7 07 0-1 06 7.
Q3 The expression ¬VES: P(x)^3y T: Q(x, y) is equivalent to which of the following? OVES: P(x) Vy T: -Q(x, y) OVES: P(x) VVy ET: -Q(x, y) OS: -P(x) VVy T: -Q(x, y) OS: -P(x) Vy T: -Q(x, y)
4. Find the following transforms and inverse transforms. State which formula from the table you are using. (a) (b) Find L [e-3t sin(2t)]. Find C-1 TE
Q1: Let A [1 2 3;4 5 6;7 8 91 and B-19 8 7 6 5 4 3 2 1] and C=[1 2 3; 4 5 6;7 8 9] Find A - 4 B-3C ?
Show the work,
Combinatorics: 9. Three young brother-sister pairs from different families need to take a trip in a van. These six children will occupy the second and third rows in the van, each of which has three seats. To avoid disruptions, the siblings may not sit right next to each other in a row and no child may sit directly in front of his or her sibling. How many seating arrangements are possible for this trip? 10. Every positive integer greater than 1 has at least two divisors and can be written as a unique product of some prime number/s with exponents. For example, 5 5 has two divisors (1 and 5 itself) 6 = 2' x 3' has four divisors (1, 2, 3 and 6) 16 2* has five divisors (1, 2, 4, 8 and 16). az a dk-1 If a number n 3 р,' хр, хр,, х...х р1хр, where p,, p2 Р3-. Pk-1' Pкаre "2 numbers and a,, a, a, .. a,_, a, are the corresponding exponents of the prime numbers, how many divisors does n have ? 11. How many 5 digit positive integers are divisible by 5 and have at least one 6 as their digit? 12.…

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