Directions: Given the two sets, determine if one set is a subset of the other. If yes, describe the relationship using proper nation. 16) A = letters in the world FLORIDA, B = letter in the alphabet 17) A = months with 31 days, B = months that start with the letter A 18) A = all students at Blue Ridge High School, B = Freshman at Blue Ridge High School 19) A = the set of integers, B = factors of 60

Q: .2 9n-1 is a multiple of 2 for n 2 1

A: Introduction: Mathematical induction is a mathematical technique for proving that a statement, formu...

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Q: Which of the following is logically equivalent to A. -p A q Vr B. pA-q vr Oc. pv-q Ar O D. pvqar

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Q: Which of the following propositions represents the logic circuit below. 1 attachm

A: Given that 

Q: For any set A, P(A×B) = p(A)×p(B)

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Q: 5. y dy = x(1 + x2)•1/2(1 + y²)1/2 dx

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Q: 8:[0,00) → Vx R , g(x)= х

A: Given the function g : [0, ∞)→ℝ, gx=x We have to show that gx is injective and not surjective.

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Q: Screen. 11 If f(x, y) = x3y then df = ans. 2x²dx + dy x-2dy x+ dy 2xydx + x²dy O Previous Marked for...

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Q: O 10 O 25 13. Transform the equation into center- radius form. Answer choices and input x²+y-2x+4y-4...

A: We have to find the center and radius of circle.

Q: Was the highest power of 23 that will divide 5000! without leaving a remainder? (a) (b) 714 (c) 276 ...

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Q: z² + (2 + 3i)z+3 – i = 0 -

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Q: Denote by do the Euclidean distance on the set Q of all rational numbers: do (r, u) = |r - u|. Choos...

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Q: For the function g(x): Vx + 3, find each of the following function values. no decimals allowed. g(3)...

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Q: 2x 2-3х-9 lim x-8 4x2+29

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Q: If y = tanx, then which relation is true? ans. (1+x*)y, = 0 (1+x²)y, = 2 (1+x*)y, = 1 (1+x²)y, = 1 %...

A: It is known that ddxtan-1x=11+x2.

Q: What is the simple interest for a principal of $650 invested at a rate of 9% for 5 years?

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Q: 2.) ( the plane 2x-3y+z =6, and is parallel to the line of intersection of the planes x-2y+z=4 and 2...

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Q: Match each object to its description. a v L(x, A, v) a. Lagrangian function b. dual problem fo(x) c....

A: match each object to its description Tx,λ,v - lagrangian function (a) x - primal variables (e) f0x -...

Q: - Let A = {1, 2, 3, .., 103. Consider f:P(A) → N given by f(B) = |B|. That is, f takes B subset of A...

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Q: Question Find the solution of the given initial value problem. (use Laplace transformation) ý + 4y =...

A: Properties of Laplace transformation  Ly''=s2Y(s)-sy(0)-y'(0) Lsinat=as2+a2 Luc(t)f(t-c)=e-csF(s) L...

Q: 17. Maria, a sales representative for a large consumer goods company, is paid 3% of the total profit...

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Q: I. Given : 11 12 13 14 2 4 12 5 - 2 5 - 4 4 3 10 2 3 13 7 2 14 4 3 - 4 3

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Q: QUESTION 3: Apply the idea of inverse matrix and matrix multiplication in solving the system of line...

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Q: 4.3.3 (n³ + 1) < E=1x3,n 2 2 [Hint: E-1x3 = (1)3 + (2)3 = 9] %3D %3D

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Q: of the matrix

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Q: Solve, using the substitution u = y': (y+1)y" = (y')^2

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Q: The mxn zero matrix , denoted by 0mn or simply 0 , is the matrix whose elements are all zero , find ...

A: A matrix is a mathematical object containing numbers arranged in rows and columns. The matrix in whi...

Q: .b,č are three vectors such that a + b+ e = 0, lal = 5.6 = 3. = 8 then ä.b+ ans. -49 48 1/6

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Q: dy 3. (a) If y=x'sinh (1/x)+ In(tanh 2x), find dx

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Q: 1. Convert the following difference equation into a first-order form: Yt = Yt-1 + 2yt-2(Yt-3 – 1)

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Q: If ø(x,y,z)-crepresent the equation of a surface, then the normal to this surface is ans. div (grad ...

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Q: If f is bounded and integrable on [a, b] such that | f(x) | 0). *0).

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Q: Question 3 (a) Define a sequence {a,} as follows: Let a, = 1, and define (a,)? + (2n + 3)a, + (4n + ...

A: Dear Student,  As per our company guidelines we are supposed to solve only the first question if the...

Q: The eigen values of the matrixA are a and b then the eigen values of A are ans. a, b² ab,b? a2, b a,...

A: The solution is given as  

Q: which type of construction is illustrated in the figure attached see attached

A: It is the construction of 60 degree angle at point S.

Q: 2. Evaluate whether the following initial values is true in the function: y = 4cos-+ e-2x 2.a) 2.b) ...

A: Given , y=4 cosx2+e-2x  

Q: Let P be a 3x3 matrix having characteristic roots 21 12 = 0 %3D %3D and 23 = 1. Define Q = 3P3 – P2 ...

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Q: The nature of the stationary point (0, -1) for the function f(x,y), if f= 4-12x, fy= 0 and fry=-4+ 1...

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Q: 7. C43 of -BA

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Q: A necessary and sufficient condition that M(x,y)dx+N(x,y)dy=0 be a homogeneous equation is M and N a...

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Q: 6. :- 2xy)y' yly+ sinx] ;when x 0, y = 1

A: 6 Given differential equation is 11+y2+cosx−2xyy'=yy+sinx......1 and x=0, y=1. Simplify equation 1 ⇒...

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cosx- 1) dx = 0

A: As per your query the solution of the problem (1) has been done in detail. Follow the next steps for...

Q: 2. a) Find the solution of the following linear system by LU decomposition: 7 -2 1 (12 14 -7 -3 X2 1...

A: (a) We have A =  7 -2    1 14 -7 -3-7  11 18 = LU Let us do some row operations on A.  Our identity ...

Q: y³ (x + 2y) = C²y

A: The solution is given as  

Q: USE SCREENSHOT TO HELP WITH THE QUESTIONS THANKS. 1. What is the largest number of widgets that can...

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Q: Derek will deposit $4,285.00 per year for 22.00 years into an account that earns 4.00%, The first de...

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Q: ieN 5. (a) Uli,i+ 1]= (b) Nli, ieN ieN 6. (a) | Iro.i +11=

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Q: 2. Consider the DE: (1+t²)f"(t) – 8y"(t) + cos(t) y (t) = e'y(t), t ER. (a) Find the normal form of ...

A: Given: A differential equation, 1+t2y'''(t)-8y''(t)+cos(t)y(t)=ety(t). To find: a) Normal form of gi...

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”.