Prove that: 577 3 [Cos Cos БП 6 +isin STT 3 4 +isin STT714 6 ==1

Q: Determine the volume V and total surface area A of the solid generated by revolving the area shown…

A: Solution :-

Q: Determine the coordinates of the centroid of the shaded area. 25 y 70 I 50 25 60 60 50. 175…

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Q: Solve and sketch the graph of the IVP. dy dt = 81 (1)-82(1) +83 (1)-84(1)+.... y(0) = 0

A: As per the question we are given the following IVP : differential equation(DE) : dy/dt = δ1(t) -…

Q: New coffee shops in Exeter succeed 60% of the time. Suppose that 3 new coffee shops open (where they…

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

Q: (2) Find the volume of the solid obtained by rotating the region bounded by the given curves about…

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: z = -10 -5i, 1. Determine the following: a) z-5 b) z3, graph the roots to illustrate an equilateral…

A: Consider z=-10-5i   1. Determine: a) z-5 b) z13, graph the roots to illustrate an equilateral…

Q: The solution of the equation d'y -y=k(k = a non zero constant) dx² which vanishes when x = 0 and…

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Q: A bungee jumper leaps from a bridge. Velocity is determined by the given differential equation. dv…

A: Given the differential equation is dvdt=g-cDmv2 and   g=9.81 m/s2m=45 kgcD=0.16 kg/m∆t=2.1t0=0, v0=0

Q: Solve the initial value problem below using the method of Laplace transforms. y"+y' - 2y = 0, y(0) =…

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Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 12 inches above the…

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Q: Suppose T: M2,2-P3 is a linear transformation whose action on a basis for M2,2 is as follows: 1(31)-…

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Q: Find regular expression over [0,1] that defines the following language: Any string that starts with…

A: Regular expressions are patterns used to match character  combinations in strings.

Q: The base of a three-dimensional figure is bound by the line y = 4 - x on the interval [-2, 2].…

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Q: Evaluate the determinant of the 5x5 matrix shown by expansion of minors and by pivotal element…

A: Hint: Apply row operation in the given matrix, then obtain the required determinant.

Q: Assume that a population, P, is changing at a rate inversely proportional to 50 + P. Does it make…

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Q: (DA2D³ - 13D² +38D24)y = 0

A: We have to find the general solution of the differential equation D4-2D3-13D2+38D-24y=0 .

Q: Determine the first three nonzero terms in the Taylor polynomial approximation for the given initial…

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Q: -) Let B₁ and B₂ be orthonormal bases for an n-dimensional vector space V. Let A = TB₂B₁ be the…

A: Given Data: Let B1 and B2 be orthonormal bases for an n-dimensional vector space V. Let A=TB2←B1 be…

Q: Use the following information to answer the next question Two functions are shown. y = f(z) is the…

A: Consider the given figure. Given that the graph of y=fx which is in left side and the graph of…

Q: 2 t² ty"(t)-3-t・y'lt) + y(t) = h(t) = ylo) =0 x) (0) = 7 D 0; if o≤t ≤1 2 €² t²; if 1 ≤ t <3 623. D)…

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Q: Q9 please write this on paper I cant underestand like this

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Q: Evaluate (u + v) SS (x + y)ex-ydxdy over the triangle with corners (0,0), (−1,1), and (1,1) in two…

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Q: (2) Find the integral (0,2,0) and (0,0,1). where D is the tetrahedron with vertices (0,0,0),…

A: Given : ∬∫x+2y+z dV             where D is  tetrahedron with vertices 0 ,0 ,0  , 1 , 0 , 0  , 0, 2 ,…

Q: The cumulative distribution function of the length of time, in minutes, that a customer queues in a…

A: Sol:- Probability that a customer will queue for longer than 5 minutes is equal to :- Since CDF i.e.…

Q: S (s-3)(s-4)(s-12),

A: The given function is  F(s) =s(s-3)(s-4)(s-12) And we are asking to find the inverse Laplace…

Q: You are told that the following two statements are true: If Alex is a student, then Alex reads a…

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Q: GIVEN: z = -10 -5i, 1. Determine the following: a) z-5 b) z3, graph the roots to illustrate an…

A: Given z=-10-5i   1. To Determine: (a) z-5 (b) z13, graph the roots to illustrate an equilateral…

Q: a. Use any analytical method to find the first four nonzero terms of the Taylor series centered at 0…

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Q: 4 When using method of frobenius if r ( the solution to the indical equation) is zero or any…

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Q: 010 Given y'=1=d and y (0)=0 find. - Ⓒ $ (0:1) by Enter's Method using that valve obtain. y (0.2) by…

A: Given IVP is y'=1-y, y(0)=0  Here we have f(x,y)=1-y Let step size h=0.1   Solution 1: Euler' method…

Q: Determine whether the series converges absolutely or conditionally diverges. a. 14. 00 k=1 (-1)k+1…

A: Q14(a) asked and answered.

Q: The family of conics represented by the solution of differential equation (4x+3y+1) dx…

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Q: CODAP11 7.2.038.EP. Consider the following initial-value problem. y' - y = 2 cos(6t), y(0) = 0 Find…

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Q: (a) The Rodrigues formula says that H₂ (§) = (-1)"¹ es ² * (₁) * (1) Use it to derive H3 and H₁. (b)…

A: Since you have added many problem in one question, here I am answering first two parts (a) and (b).

Q: Let Py have the inner product given by evaluation at -3,-1, 1 and 3. Suppose that po (t) = 1, p₁ (t)…

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Q: -4w + x + y w - 4x W = -10 + z = - 4y + z = x + y - 4z = 1 −7 10

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Q: Solve the initial value problem below using the method of Laplace transforms. y" + 16y=96t² -…

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Q: et W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector…

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Q: Question 20 Given that A= 12 -5 has the form A= PCP-¹, C- 0c-12²2 C OP-11 0 -3 -1 and P = Op- and P…

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Q: For the infinite geometric sequence (xn) whose first four terms are:  1.3, 3.77, 10.933, 31.7057…

A: The given problem is to find the first term, common ratio and closed form of the geometric sequence…

Q: Three long, parallel, straight wires each carrying a 8.0 A current pass through the vertices of an…

A: Given that,  △ABC an equilateral triangle, such that, AB=AC=BC=8.0 cm current I=8.0 a

Q: Describe geometrically the effect of the transformation T. To o o Let A = 0 1 0 0 0 1 Define a…

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Q: Find the closest point to y in the subspace W spanned by u₁ and ₂. y = 17, U₁ 2, U₂ = 0-16 16 24 31…

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Q: show step by step solution. Perform the partial fraction decomposition of x² – 3x - 10 1 x4 4x³+4x²…

A: Explanation of the answer is as follows

Q: Answer true or false.. The function f(t) = (e) 10 is of exponential order. True False

A: We need to determine if the function: f(t)=et10 is of exponential order or not.

Q: MIN: 8x + 9y s.t. x > 3 A 6x +9y ≤ 45 B 4y ≤ 8 C 2x < 12 D

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Q: 27. * Σ n(n - 1)anan-2. n=2 + n=0 and

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Q: Radius of Convergence. In each of Problems 1 through 8, determine the radius of convergence of the…

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Q: formation to answer the next question Two functions are shown. y = f(z) is the function on the left…

A: Given graph of y=f(x) We have to find the equation for the graph y=af[b(x-c)]+d, where a=1, b, c,…

Q: Let P be a point not on the line L that passes through the points Q and R. The distance d from the…

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