Disjoint Set 4. 1. If every element of A is oalso an element of B. If the they have common element I. Fibonacci Sequence is the sequence of numbers defined by linear recurrence equation II. Example: 1, 1, 2, 3, 5, 8, 13, 22, 34, ... F = F +Fwith F, = F, =1 and F, = 0. n n-1 n-2 5.

Q: Use the method of variation of parameters to find a particular solution of the DE (3x – 1)y" – 9xy' ...

A:

Q: Derive the expression of cot-'(2). Find the principal branch of the multiple valued function log(2z ...

A: We will be solving Q.4 as mentioned. (a). Let cot-1z=w, therefore cotw=z. Now consider: z=cotw=cosws...

Q: Consider the function h : Nx N → Z given by h(n, m) = 2n² . m. What is the image of h? Prove your an...

A: Introduction: A function has a domain and a range. The domain is the set of all input values of the ...

Q: 1 lim \3 Vx + 9/

A: Rationalization of an expression is done to remove the radical expression from the term. For example...

Q: Let + y³)%¸ æyz 7 4 F = x² + be a vector field on U = {(x, y, z) E R° | (x, y) + (0, 0)}. Find its c...

A:

Q: 8. 4y" – 4y' + 26y = 0

A:

Q: Part 3: Determine whether B is the multiplicative inverse of A. Show your solution. 1 -1 1 -1 B 1 -1

A:

Q: (y² + ry") dr + (5y² – xy + y* sin y) Let M be the coefficient of dx and N be the coefficient of dy.

A:

Q: The line of action of the 3450-lb force runs through the points A and B as shown in the figure. Dete...

A:

Q: 27. Find examples of (2 × 2) matrices A and B such that det (A + B) + det(A) + det(B).

A:

Q: Consider a lake of constant volume V (gallons) containing at time t (weeks) an amount Q(t) (grams) o...

A: As per norms, we will be answering only first three subparts. If you need an answer to others kindly...

Q: he sum of the first " n" terms of the series is 2n + 3 + x. Find the seventh term.

A:

Q: Let x be a real number. Prove by contrapositive that if x + 5x = 40, then x < 3.

A:

Q: Σ >k· k! = (n + 1)! – 1 k=1 for every positive integer, n

A: We will prove this by principle of mathematical induction.

Q: Factor 12u - 20. Write your answer as a product with a whole number greater than 1. (0)

A:

Q: If limkoo ak 0 then Eak is convergent.

A:

Q: 2/3+1

A: Solution :-

Q: There is a sales tax of $22 on an item that costs $272 before tax. The sales tax on a second item is...

A: Given: Cost  of an item before tax =$ 272. Sales tax of the item=$22.    

Q: 2. A student is to answer 10 out of 13 questions. Find the number of choices where the student must ...

A:

Q: Find the area of the region bounded by the graph of

A: GIven,          f(x)=abx-x2, and  g(x)=cx Here,        a = 4, b =8, and c = 5

Q: Evaluate the following integrals. 1. /'e"z de 4x sec 3

A:

Q: If 21ak converges then E,ak, converges for any ak subsequence of ak.

A:

Q: f(x) = 3x3 - 9x2  - 18x + 18 a) Find the remainder when f(x) is divided by (x-4). b) Use the facto...

A:

Q: -5 Calculate each of the following approximations for o E dr. (T+1)3 LEFT(2) = RIGHT(2) = TRAP(2) = ...

A:

Q: QUESTION 5 A college with 90 programs creates the histogram below to show how many students graduate...

A:

Q: Suppose that a system of equations has the augmented matrix [: 1 h 3 -10 k If the system is inconsis...

A: We know that a system of equationsa1x+b1y=c1a2x+b2y=c2is inconsistent if, a1a2=b1b2=c1c2The given au...

Q: rtain drug is made from only two ingredients: compound A and compound B. There are  4 milliliters of...

A:

Q: Ted skated through one of the face-off circles at as skating rink. His path through the circle is sh...

A:

Q: c) Use part (b) and the principle of strong induction (Exercise 3.1.27) to prove that a/b can be wri...

A:

Q: 6.79 ÷ 4

A:

Q: 1. Consider the initial value problem dy 3 = 3t + 2e*, dt y(0) = Yo- Find the solution to the initia...

A:

Q: Write the negation of the following statement without using the negation symbol ``¬". R = (Vn E N)3x...

A:

Q: 3. For each of the following statements, indicate if it is true (T) or false (F). The set is linearl...

A:

Q: 24. y"+ 9y = 0; y(0) = 1, y'(0) = 1

A:

Q: Use a direct proof. Let "a", "b", and "c" be integers, where "a" is not equal to 0. “if a|b and b|c,...

A:

Q: 8. Find the sum of all integers between 20 and 29, including these.

A:

Q: A design company manufactures two types of modulars: Modular A can be manufactured in 15 hours while...

A:

Q: In Exercises 12–17, find the eigenvalues and the eigen- vectors for the given matrix. Is the matrix ...

A: Given matrix 121012001 we have to find eignvalue and eigenvector 

Q: 14. (a) Is 2 C {2, 4, 6}? (b) Is {3} E {1, 3, 5}?

A: Introduction: Subsets are a subset of the mathematical concept of Sets. A set is a collection of obj...

Q: The APY for 6.5% compounded continuously is %. Give answer as a percent rounded to one decimal place...

A:

Q: dy 1- IF y = cos(3 cos 2x) find dx 2- IF y = (x3 + 3)(2x* – x) find y" dy 3- IF y = sin x find when ...

A:

Q: Write the general solution f

A:

Q: Prove the following formula for all n EN by induction: 1+ 2·2 + ... + n · 2"-l = 1 + (n – 1)2".

A:

Q: Solve min udr, subject to u(0) = 0, u(1) = 1, ur'dr = c %3D =C.

A:

Q: INVERSE LAPLACE OF DIFFERENTIAL EQUATION: Complete solution and determine what property use Determin...

A:

Q: Find an explicit description of Nul A by listing vectors that span the null space. 1 4 -5 0 A = 0 0 ...

A:

Q: 1. What are the quotient and remainder, respectively, when -97 is divided by 13? a) -7 and -6 b) 8 a...

A:

Q: Let f(x, y) = x³ + y³ + 21æ² – 12y² – 1. List the saddle points A local minimum occurs at The value ...

A:

Q: 2 1/4 grain = mg 360 mg= gram 3. t = 20 mL

A: Since you have posted multipart question and we can answer three subparts. So, answered first three ...

Q: Use only Definition 3.1.1 (or its negation) to prove the following: 2. Prove that the sequence ((-1)...

A: