For any sets A, B,C prove that if BCC then A – (BUC) = A – C. -

Q: (a) Prove that if A and B are open, then A+ B is open.

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: 10:04 A Write the following improper integral as a limit. x-3x' In(x)-1 dx x (x-1) Determine whether...

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Q: d²y dy + 2y sin? x = e-cos * sin² x dx Solve : + (3 sin x – cot x) dx?

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Q: Consider the problem: min z= 3, + 2zz + dr3 subject to 2r + a2 + 3as = 60 3r, + 3zz + 5z3 2 120 Z1, ...

A: In the two phase method, Here the total number of iterations are saperated into two distinct phases....

Q: Show that (1/n²+ n+1)!nEN is a Cauchy sequence.

A: Solution :-    The given sequence is              an =   1/( n2 + n + 1 )     ;  n belong to N .    ...

Q: If fuf fuare difla Veubableat XoeI n prove thacd Cfisfa fu) isclifferantiable at vo aucde.

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Q: The area of a rectangle is the product of the length and the width, or Consider the rectangle below....

A: The given question is related with the area of a rectangle. Given a rectangle with length,  L = x + ...

Q: Why multiplication/division and addition/subtraction have different rules in terms of identifying th...

A: If we add or substract zero from a number then it will give the same number. But when we multiply of...

Q: 48. Let f be a function defined on ]0, 1[ by : 0, if x is irrațional f (x) ={1/q, if x=p/q; where p ...

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Q: Problem 3.2.4 Solution For x < 0, Fx(x) = 0. For x 2 0, Fx (8) = 0) dy 'vedy= - -- (1) A complete ex...

A: Given: The probability density function of a random variable X is given as, fXx=a2xe-a2x22 for x≥0 a...

Q: 5. Solve -2(x + 1)(x – 4)(x + 7)(2x – 5) < 0 using a factor table. Express your answer using interva...

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Q: x/2a + x/2b = 2. Find the value of x.

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Q: Let A =| de f g hi Assuming that det(A) = -7, find %3D (a) det(3A) (b) det(A) (c) det(2A-) a (d) det...

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

Q: It A yx+ 11ŷ + 102, B 78+29+ 62 and C +5y+ 42 are coplanar, then the value of the constant "y"is P.1...

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Q: A18.2 Let A be the matrix of rotation by T/26. Write the matrix which is the inverse of A13 and expl...

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Q: (a) Find a unit vector u from the point P = (2,5) and toward the point Q = (10, 20). NOTE: Enter you...

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Q: Find the inverse laplace of F(s)=1/(s+1)(s^2+1)

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Q: Solve the following system of three equations using Gauss-Seidel Method. Assume initial value of unk...

A: To find- Solve the following system of three equations using Gauss-Seidel Method. Assume the initial...

Q: c. y" – 4y' + 3y = 6t – 8 ; where y(0) = 0, y'(0) = 0 %3D

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Q: 2.) Determine whether S = {G.1).(1.0).(2,12,6)} is a basis for R. If it is write u = (6,3,6) as a li...

A: Determine whether S=23, 52, 1, 1, 32, 0, 2, 12, 6 is a basis for ℝ3. A set of linearly independent v...

Q: EXERCISE 1( (ii) 8÷(- 4)

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Q: a) Let f: R R be a function defined as f(x) = (x+2)?. Determine whether the function is one to one. ...

A: Part (a):- Given function is f : R → R defined by fx =x+22

Q: C. Ajay bought a chocolate costing 18. Rahul bought a Pepsi bottle costing 50. How much more money d...

A: Introduction: For two given quantities, the difference tell us how much one quantity is larger than ...

Q: Seatwor K 7. The velocity N Cin mls) of ball thrown up ward t seconds - 20-9.8 t. the ball was throw...

A: Given function: Vt=20-9.8t

Q: Using power series to solve the differential equation y'+xy=0

A: The given problem is to solve the given differential equation using power series solution method. Gi...

Q: 11. Given T= {2, m, 5, 9} and H= {2, 4, 5, n}.If set T and set H are equal sets, then what is the va...

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Q: Find the actual error when the first derivative of f (x) = e-2* at x = 1 is approximated by the foll...

A: It is known that ddxekx=kex. The actual error is calculated by subtracting the true value from the a...

Q: 2. Use the definition of the appropriate limit to show (a) limr→∞(2x² + 4x – 1)/(3r³ + 1) 0. - (b) l...

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Q: Would you propose the use of any of the direct solution methods to solving the system of linear equa...

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Q: Evaluate: Cos +iSin 12 12,

A: Introduction: DeMoivere's theorem is an important theorem in complex analysis. It says that for any ...

Q: According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the differ...

A: according to newton's law dTdt=-kT-Tm           ...i here Tm is the room temperature as given Tm=30°...

Q: Question 2 :Let 6x-6y=k2 – 15k+50 -6x+6y=k² – 5k- 50 be a system of equations. a) : If the system is...

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Q: 1. Write an equation for the specified line: a. Through (-3, 6) and (1, - 2). b. With x-intercept 3 ...

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

Q: V alue of 5.2 In x dx using Simpson's one-third rule with interval size 0.3 is

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Q: Show directly that the given functions are linearly dependent on the real line. That is, find a nont...

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Q: Find the the domain, vertical, and horizontal asymptotes of the function: 2+Vx Y= 2-Vx

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Q: How to show Je tJó is irational numbeo?

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Q: Prove that if A is closed and B is open, then A \ B is closed.

A: Solution:-

Q: How many years will it take for an invested amount of money to double its value when invested at 11....

A: If the interest is compounded continuously, then the formula: A=Pert is used. Here, A is the final a...

Q: (1,1),(2,2),(3,3)(4,4),(5,5) relation or function?

A: Given: R=(1, 1), (2, 2), (3, 3), (4, 4), (5, 5) To determine: Given set is a relation or function.

Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) Minim...

A: The linear function that needs to be optimized (maximize or minimize) is called the objective functi...

Q: Find all real singular points of x(x2 –7 x + 10) y" + sin(x) y' +x y =0. {-6, –6} None {5, 2} {4, 3}...

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Q: (II) 1 f (x, y, z) = arctan 2 (x + y)²

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Q: (x + y – 4)dx – (x – y + 2)dy = 0 Your answer Scanned with CamScanner

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Q: 1_dx 2 V x² + 1

A: Solution:-

Q: Find a particular solution to y"+2y' + y =t

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Q: CP 12 The sketch shows the graph of y = Jx-1. %3D -1 li) Differentiate y = Vx – 1. (ii) Find the coo...

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Q: Which human anatomy follows approximately the golden ratio? a. ratio of length of eyes and face b....

A: Option (a) is correct i.e., Ratio of Length of eyes and face

Q: 2426

A: Given expression: 2+2

Q: Show that d(x y) = √x-y defines a metric on the set of all real numbers

A: We will use the basic knowledge of metric spaces and set theory to answer this question.