1 dx 7х — 2 1 In(7a — 2) + с 7 -

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Q: T AppLiCATIONs 1. Schve for the orthogonal trayectories (a+x)y² = x*( 3a-x)

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Q: (AUBUC) (A UB)nC (A - B)n (A - C) (B – A) (C -Ā)UB

A: Solution:

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Q: 2. Let N = {A, | ne N}, where A, = {n,n+ 1, n +2, ...}. (a) Find UN and prove your conjecture. (b) F...

A: we have given Ω = An n∈N where An =n, n+1, n+2,...... we have to find (a) find ∪Ω and prove your con...

Q: Proposition 9. Let n be a non-negative integer. Then 1+2+4+ 8+ ...+ 2" = 2"+1 – 1.

A: see the attachments below

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A: Given a universal set U for a set X and A⊆X We shall prove it by contradiction method. Let us assume...

Q: What are the binding constraints of the feasible region of the optimal solution?

A: Constraints 1 and 2 Please see the attachment 

Q: Laplace transform

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Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2.r) b) Fin...

A: Macluarin series expansion , interval of convergence 

Q: Suit Sales The number of suits sold per day at a retail store is shown in the table, with the corres...

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Q: how detailed solution for all. Provide the Maclaurin series expansion of f (x) In(3 – 2.r) Find its ...

A: Macluarin series expansion

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A: This is the problem of application of differential calculus.

Q: . f (t) = 2 cosh 3t

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Q: Proposition 6. Consider the function g : Z? → Z² defined by g(m, n) = (m – n, n – 2m). The function ...

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Q: Solve the differential equation (D3 – D² – 4)y = 2x2 – 4x – 1+ 2x?e2x + 5xe2x + e2x

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Q: anc

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Q: 6+ -0 -3 -4 The plot above is created with the parametric equations S¤(t) = a cos(bt) l y(t) = c sin...

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Q: Given the function below

A: Given,           f(x)=-162x3+8913

Q: y У — х. y' = 2+ sin

A: Given y' = yx + siny-xx    ---(1)

Q: 1. 2 1. 1-f -1 1-f 3-f f^2+f-2 f^2-1 4 3 f+3 2-f f-3 4+2f 2f f f^4+f^3 f^3+f

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Q: Drawing a Ticket from a Bag P(x) 2 1 5 1 2 3 4 5 Number on Ticket Probability

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Q: Proposition 13. For integers n > 1, 2 3 + + 4! 1 = 1– (n+1)!" 1 - 2! 3! (n+ 1)! Hint: Try induction ...

A: We can solve the problem by the method of mathematical induction. By mathematical induction we first...

Q: 12. (a) For n = 3, explain why %3D Lo(x) + L1(x) + L2(x) + L3(x) = 1 for all x. Hint: It is unnecess...

A: The complete solutions are given below  

Q: Use this graph to answer the question. 15 A 10 II V IV E 10 15 Маx 20X + 10Y St. 12X + 15Y <180 15X ...

A: The linear function(cost function or the profit function etc.) that needs to be optimized(maximize o...

Q: Find the Laplace transform of the following using Direct Integration. 1. L = {t³}. 2. L = {t²e*}. 3....

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A: Concept: Here we shall use the concept of relative velocity. As both of them are riding in the same ...

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Q: The value of the integral sin() dy dz is

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Q: Fitting a Polynomial to a Sequence Use difference sequences and matrices to determine the polynomial...

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Q: ( 5 sin 3 (t - ), 0, t 4 6. If f(t) = 4

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Q: If f (x, y) = V3 + y³ In (z +y°)e*in(zyty") +2² + 10y , then fz (1,0) = |3D %3D O 2 4. O 3

A: Given that fx,y=x3+y33lnx2+y2esinxy+y2+x2+10y3 First we have to find fxx,y where fx=∂f∂x

Q: Determine whether each of the following statements is true. If true, prove it. If false, give a coun...

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Q: 2. Find the absolute maximum and minimum values of f(r,y) = 2x + y* inside and along the boundary of...

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Q: Suppose that you earn $39,600 per year. What is your monthly salary? $ 3300 Assume that you deposit ...

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Q: For Exercises 7 through 12, determine whether the distribution represents a probability distribution...

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Q: I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0. 10.0 드 {0}.

A: Please see the attachment

Q: Draw a line to show how white can escape from check. Don't forget: move, block or capture! 1. 2. a b...

A: Draw a line to show to how white can escape from check .Don’t forget:move,block or capture 

Q: II. Bernoulli's equation: dy 4. dx -2y %3D글x" xy3

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