Find the solution. dy y dx A y = 8 8 (B y = 4 y-2 8 (D y = 8.

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Q: .Use the Monotone Convergence Theorem to show that the (2n)! {a)" is convergent.

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Q: If A and B be 2 x 2 matrices, then (A +B)(A – B) = A² – B². True B False

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Q: (a) Prove that the product of two even permutations is even.

A: please post the multiple question separately. Here I answered 1st question only as per our policy.

Q: Let A and U = H. Then A2017U is equal to

A: The given matrix is A=-120-1 find A2=-120-1-120-1=1+0-2-201=1-401 therefore A2=1-401 similarly…

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Q: 4xy V = -2xz XZ

A: relationship between voltage (V)  and uniform electric field (E) can be given by  E→=-dVdr=−∇→V…

Q: 2 Let A | and U = H. Then A2017U is equal to = ... A) B

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Q: Find the solution. dy x3– 2y dx х A x= -+ 5 3x3 2y2 5 x3 C x2 5 D xy = + 3 B

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Q: Find the series solution of y’’+xy’+y=0 using the Power Series method.

A: We have to find the series solution of y’’+xy’+y=0 using the Power Series method.

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A: Given system of equation is 3x + (t2 - 4)y = 1ty = 2

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Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3,5) and…

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Q: Question 14 The total number of hours, measured in units of 100 hours, that a family runs a vacuum…

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A: Solution of the system

Q: 10+ j5+3Z40° +10Z30° - 3+ j4

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Q: The total revenue and total cost functions for manufacturing Items are: TR(q)=-5q2+80q and…

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Q: 11. Find a basis of the following subspace of R4. all vectors of the form (a, b, c, d) where a + b –…

A: The solution is given as

Q: Find the Inverse Laplace Transform of s?+2s + 10 'sin3t A 3 3 sin9 3. cost

A: Inverse Laplace transferom

Q: èg1

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Q: If m is prime, then m²+4 is also prime. Prove this by truth table.

A: We have to prove that the given conditional Statement using truth table.

Q: In a Hardy-Weinberg situation, suppose that 249 out 400 individuals in a population express a…

A: Total individual = 400 Recessive phenotype individual = 290

Q: f(x, y) = /x² + y?, g(x, y) = x² + y², h(x,y) = 1– a² – y² %3D by inspection, and explain your…

A: using online plotter we can draw the contour plot fx=x2+y2 option b is the correct plot for…

Q: Solve the following set of equations using the Gaussian method. -2x, + 3x, = 5 X + x, = 10

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Q: Solve for the domain and range of. f(x.y,z) = 4-x2-y?

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Q: Let A = 2 and U = H Then A2017U is equal to A D

A: Given A = -120-1  and  U = 10

Q: If A and B be 2 x 2 matrices, then (A + B)(A – B) = A² – B?. A True False

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Q: Which of the following matrices is not in reduced row-echelon form ? 1 0 0 6) A 0 1 0 7 0 0 1 1 1 0…

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Q: 4. Use a comparison test to determine whether the series converges or diverges. (a) E 1+ In n In(e"…

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Q: Consider the following IVP: y' +y = e2t; y(0) = 0 Find the general solution. A y(t) 2 B y(t) 5 y(t)…

A: Given differential equation is y' + y = e2t ; y(0) = 0

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A: Given differential equation is y'' - 3y' + 2y = e3t ; y(0) = 0, y'(0) = 0

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A: We want to find true option

Q: a) Find the distance between m = [-2,3, 2,0,3, – 13, –5] and n [4, –1,1, -5,0, 11, -3].

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Q: Question 2. Approximate the roots of the polynomial f(x) = X° - 7X + 6 using False-position method.

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Q: 4. For r > 0 and h > 0, show that the conical set S = (x, y, z) | x > 0, y > 0, z > 0, z2 h?(r2 - x²…

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Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

A: Hint: A vector v→ is perpendicular to both a→=a1i^+a2j^+a3k^ and b→=b1i^+b2j^+b3k^ if v→=a→×b→…

Q: 2. Let A = (1,0, 2) and B= (6,-2, 3). Solve for projAB.

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A: Concept: Here we shall use the formula, z=x-μσ where x is the raw score, μ is the mean and σ is…

Q: For x, y, z, w > 0, prove that (x/z)+(y/z)+(z/w)+(w/x)≥4

A: It should by x/y, instead of x/z

Q: Find the series solution of (1-x2)y’’+2xy’+y=0 using the Frobenius method

A: We have a given differential equation ,  1 - x2y'' + 2xy' + y = 0 Let , y = ∑n=0∞ anxn  be power…