Find an equation of the plane through the point and perpendicular to the given vector. (8, 2, 3) ‹-3, 1, 5›

Q: The particular integral of the difference equation Yn+3 - 6yn+2 + 12Yn+18Yn = 3n is

A: We have to find Particular Solution of given difference equation yn+3 - 6yn+2  +12yn+1 - 8yn  = 3n.

Q: Determine if the graph is Hamiltonian or Eulerian. If the graph is Hamiltonian, find a Hamilton…

A: Number of vertices is 5. For every pair of vertices x and y, deg(x)+deg(y) is greater or equal to 5.…

Q: L(Ci (x); p)= L

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Q: Express e in the form a + ib. (Simplify your answer completely.) 3π Z = -1 +

A: Given function is z=−π+3π2i. We have to express ez in the form a+ib.…

Q: ! (10) If f(x) =. then f(x) is irreducible in Z7[x]. 3 (i) x² + 2x² + 2x + 1 Option 1 (ii) x² + 3…

A: Here we use the factor theorem to determine the reducibility of polynomial as follows.

Q: ¹).. Suppose that fn are integrable and ffn du <∞. Show that, if fn 1 f, then f is integrable and f…

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Q: / Reversing the order of integration fxsinydydx.

A: To find- Reversing the order of integration ∫0π∫0xxsiny dy dx

Q: 5. Lena used 36 m of fe garden on her farm a) Sketch some pos What is the area. b) How many differ.

A: Given, The length of fencing is used to enclose a rectangular vegetable is 36 m.

Q: d'y Given that y = √3x+5, find the value of k such that dx² kdy dx = 0.

A: Here given that y=3x+5  We have to find the value of k such that d2ydx2-kydydx=0 .

Q: (a) (i) For the finite arithmetic sequence 5, 8, 11,..., 44. write down the first term a, the…

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Q: Determine the Fourier series defined by 1−x, -J<x<0 f(x) = = ₁ + x₂ 0<x< π 1 which is periodic of…

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Q: (a) (i) For the finite arithmetic sequence 5, 8, 11,..., 44. write down the first term a, the…

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

Q: Solve the following by using In

A: 5. (i) Given,              s2s4-1

Q: the an ¹x y is differential ec

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Q: Which of the following describes the difference between convolutions for Fourier transforms and…

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Q: 2. Determine the inverse Laplace transforms of the followings: 5 (a) L- 1 $²+2s-3 4s - 3 (b) L-1 s²…

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Q: 6. Find the Laplace transform of the following functions (c) g(t) = cos 3tH(t-π)

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Q: Q6/(A)Evalute y ex² dxdy. (B) If f(x, y) = x² ye(x+y²). Find the four seconed partial derivative.

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Q: ). Explain how we get the Cylinder by equivalent relation.

A: Please check the next step for details

Q: 1. Let X and Y be non empty sets and let £: XY be given. Prove that if M is a algebra of subsets of…

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Q: 1. determine whether the following argument is valid or invalid: (A → B) → (C → D) B → D A → C ∴…

A: We will use a truth table to determine the validity of the arguments. The argument is valid if…

Q: A phone number in Toronto is a 10-digit number. The first three is an area code which is 416, 905,…

A: Introduction: When we arrange a certain number of objects in a different order, the arrangement is…

Q: 3. Find the solution of the following system of liner inequalities by graphing- (K + 2y > 5x + 3y…

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Q: Problem 4 Let A B C be a cofibration sequence. For any X, show that the induced sequence [C, X] →…

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Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute the polor integral…

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Q: ng with identity and I be deal of R. Then I is primary if nd only if every invertible in /l is a…

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Q: d) (x+27) -3 X lim-

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Q: Find the angle between the two vectors A = i +j+k and B = 2i+j-k

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Q: the angles between the vectors u = 2i - 2j+ k, v = 3i + 4k = O 84.2 O 40.2 O 48.2 80.3

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Q: Show that the factor ring Q[r] (P(x)) has a zero-divisor

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Q: In Boolean ring R, if a is an element in R then a is O (i) idempotent O (ii) nilpotent O (iii) zero…

A: Boolean ring is a ring in which every element is of the form x2 = x .

Q: 6. Find the Laplace transform of the following functions (b) g(t) = te * sinh3t.

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Q: rimeter of the base, p

A: Consider the standard figure of the trapezoidal prism:

Q: What conclusion can be drawn from the following? State the property used (transitive, symmetry,…

A: When a set of premises is given, one can draw a conclusion from the premises. Many rules of…

Q: What calculator (things) shows one mathematical pattern? Make a brief explanation. a. bilateral…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: y+2y+y=sin x-4e™*.

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Q: d) Give a formula for the coefficient of ak in the expansion of where k E Z. 100

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Q: 3. A resistance of 11 Q2 is connected to a battery having an electromotive find: a. current b.…

A: Please see the attachment

Q: show that the following function analytic f(z)= 4e²+ Sin Z arp

A: Explanation of the answer is as follows

Q: dx de X = X (t) defined implicitly by 62 +62 VX In(t) = ext. Also evaluate dx at dt (tox) = (1,1).

A: The implicit differentiation is a rule to differentiate an implicit function. The most general…

Q: Find the absolute maximum and minimum values of D(x,y)=x²-xy + y² + 1 On the closed triangular plate…

A: Here I am using basic calculus we and also use short method.

Q: Solve the ODE y(4) - 4y" + 8y" - 8y + 4y = 0.

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Q: 4/(A)Find the derivative of f(x, y) = xe + cosxy at the point (2,0) in the direction. дz əz (B)If Z…

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Q: : Find the divergence of the vector field the point (2,4,1). y F(x, y, z) = x² √yi + =j+zk

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Q: The set H={0,1,2}is a subring of (Z4, +4,.4) integer ring module 4.

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Q: A phone number in Toronto is a 10-digit number. The first three is an area code which is 416, 905,…

A: Introduction: When we arrange a certain number of objects in a different order, the arrangement is…

Q: a. Solve the initial value problem (x² - 1)y" + 4xy' + 2y = = y (0) = -1, given that 1 1 Y1 and Y2…

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Q: (6)lf K is a simple ring, then K is a Jacobsen radical ring. T O F

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Q: show that a bounded Lineart on a complex Hilbert spase H is normal (i-eTT* = T*T) if and only if 11+…

A: We have to show that T  is normal if and only if ||T* x || = || Tx|| for all x € H. Using this, to…

Q: Nominal rate of return Effective rate of return % %

A: We have to find the  nominal rate and effective rate of return first we calculate r with the help of…