If ab+bc+ca=0, then solve a

Q: Construct a tree from a path of length n−3 by creating two new nodes and connecting them to…

A: Here we have given that a path of length n-3 and involves n-2 vertices. we need to construct a tree,…

Q: 55. By normalizing the function f(x)==-defined in the domain [0, 2], we will get as a result the…

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Q: x (t) = 28(t + 2) — 28(t − 2) – rect( - So, dF(t) dt (0) - F₁ (1) + Fr(t). F₁ (t) replace by F₁ (w)…

A: What is Fourier Transformation: When converting a real-time signal into a complex planar function,…

Q: Consider the integration of f(x) = 1 + e* sin(4x) over the fixed interval [0, 1]. Apply composite…

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Q: Explain theorem of Wronskians of Solutions?

A: To Find : Define the Theorem of Wronskians of solution

Q: 26. A barometer uses mercury as fluid. The height of column shows 760mm of Hg. Calculate the…

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Q: Let w be the projection of u in the direction of v. That is, w = proju. The x-component of w, to 2…

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Q: 12. Sally and Mari are two lifeguards who are tracking the position of a great white shark. The…

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Q: 29. State the converse, contrapositive, and inverse of each of these conditional statements. a) If…

A: We know that the conditional statement is " If P then Q " The converse of the conditional statement…

Q: You want to send postcards to 12 friends. In the shop there are only 3 kinds of postcards. In how…

A: (a) Here we have given that you want to send postcards to 12 friends and in the shop there are only…

Q: DE 1. (1-x)y'-4xy +5y = cosx d'u du 2. at 3. d²u कर = d³x dx d²x +(4t-1)- +sin t - dt² dt dt3 4.…

A: To identify the type,order,degree, linearity if give differential equation.

Q: Consider the function f: R² → R given by (a) Compute the partial derivatives at the point (1, 0):…

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Q: 1. A set of integers are relatively prime to each other if there is no integer greater than 1 that…

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Q: The piecewise function for the above table can be shown as: 95 1,001 ≤x≤ 1,500 110 1,501 ≤ x ≤ 2,000…

A: We have a given piecewise function f(x)  which shows that what amount of money is deducted when the…

Q: DE 1. (-x)y-4xy +5y = cosx 2. d²u d'u 2x² at³ 3. d³x 12 des -2 d²x +(4t-1). + sin t dt² 4. √1+ (v)³…

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Q: If a, b, and c are in A.P. and one root of the equation is 2, then find the other root. ax²+bx+c=0

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Q: Apply Fourier transform, jw F(w) = F₁ (w) + F₂ (w)...... equation 2 F₁ (t) = −8(t + 2) +…

A: Sol:-

Q: (a) (b) Q4. L-¹ ¹8(8²-1)} = cosht - 1 [cos 2t - 1] (c) (d) 1 - cosh t (sin 2t - 1]

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Q: Pacific salmon populations have discrete breeding cycles in which they return from the ocean to…

A: The difference equation modelling is given by   Nt+1=f(N1) where Nt  denotes the population size.

Q: The family of parabolas with vertex and focus on the y- axis. A B C D y' - xy "=0 xy'-y "=0 xy" -…

A: The general equation of the parabola with the vertex and focus on the y axis can be defined as:…

Q: 3. Sole the following simultaneous ODE y₁ = y₁ + y₂ y₂ = 3y1 - y2 *

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Q: Find the solution of the following static zero sum game. Rose A B Colin A 5 -4 B -3 3

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Q: start of the indicated year. Region 1 prices for pine puipwood in tw Region 2 4.00 6.70 9.00 Year…

A: Find the answer below.

Q: 6a. Suppose that B is a basis of V. Decompose it as a disjoint union B = B₁ I IIB₂ of non-empty sets…

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Q: Question 4 SN Given the differential equation (5x² - y²) dx + 2ydy = 0, What is dx 01 0-1 00 O-2y =?…

A: Given the differential equation : (5x²-y²)dx+2ydy=0

Q: An engineer must decide between two ways to pump concrete to the top of a seven-story building. Plan…

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Q: 11. Let D be the solid inside the cone z = √²+ y², inside the sphere x² + y² +2²=9 and above the…

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Q: d. (p^(p→q))→q h. A➜(~A↔(A⇒B))

A: What is Tautology: A compound statement is referred to as tautology when it is always true for every…

Q: Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x² +…

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Q: Solve the initial value problems in Problems and graph each solution function x(1). x" + 4x' + 5x =…

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Q: 27. Exclusive Or How is the addition rule changed if the exclusive or is used instead of the…

A: Exclusive or means that the two events, let say, A,B have nothing in common. That is, the occurrence…

Q: If p is the length of the perpendicular from the origin to the X y 1 1 line += 1, then prove that +…

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Q: Eliminate the arbitrary constant. 2x y=c₁' e B A y"-y'- 2x=0 C -X (D) +c_e 2 y"-y'-2y=0 2y"-y'-2x =…

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Q: Voting In the 75th Congress (1937-1939) the U.S. House of Representatives had 333 Democrats, 89…

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Q: Sketch the region and find its area. The region bounded by y = ex, y = e = 4x, and x = In 3 1 -3 3…

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Q: 33. Given the function, defined in the range [0, 1], find the function P(x) defined in the range…

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Q: B: Solve the second-order difference equation y[k + 2]- 5ylk + 1] + 6y[k] = 0 Take >[0] = 0 y[1] = 2

A: What is Difference Equation: Difference equations are forms of mathematical equality that involve…

Q: Translate the following in words. Identify whether it is true or false. Justify your answers.…

A: " ∃?,?∈ℤ+,?2 +?2 =2?? "      In word : " there exist x,y belong to set of Positive integer such that…

Q: 1 1. y + y = 9x² I

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Q: b←((b←d)vd) p h. A➜(~A↔(A⇒B);

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Q: If a # B and o² = 5a - 3 and ß² = 5ß - 3, find the equation whose roots are alß and pla.

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Q: Determine whether (p→g) ^ (p Vr) and -p V (q^r) are two logically equivalent propositions.

A: Given that               (p→q)∧(¬p∨r)¬p∨(q∧r) Here we need to prove both logics are equivalent. For…

Q: In the following system Problem, categorize the eigenvalues and eigenvectors of the coefficient…

A: Given system is x1'=3x1-4x2x2'=4x1+3x2 In the matrix form, we can write it as x1'x2'=3-443x1x2 Here…

Q: If fixed costs are 5, variable costs per unit are 3 and the demand function P=25-8q obtain an…

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Q: II. Verify if the indicated equation is an explicit or implicit solution of the given DE. ( y = ln…

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Q: Q5. C{tet sin t} = (a) (b) 2(1-s) (c) (²+1)² 2(8+1) 2 ((s+1)²+1) ² 2(8-1) ((8-1)²+1)² 9 (d) (²+1)² 2

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Q: If a 3 are ordinals and a C 3, then a € 3.

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Q: 1. (y² + xy) dx - x² dy = 0

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Q: K Use the following input-output matrix and the closed model to find the ratio of coal to steel…

A: Solution:

Q: What is the importance of mathematics in your/our life?  5-10sentences

A: Mathematics makes our life orderly and prevents chaos. The qualities which are improved using…