NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Answer the questions about the following rooted tree. m n Multiple Choice O g g, c, h, o, p e, f, l, m, n e, f, a, d, c ●C ich vertices are descendants of b? a, l, m, n, f 0 h P 1 69 t k

Q: that if a=nm with (n,m)=1, then (a,b)=

A: Introduction: The greatest common divisor of two positive integers can be discovered using the…

Q: 1. find the convolution of II 2 * II t 2

A: Given: Here, the given details in this problem are We want to find the convolution of  ∏t2*∏t2

Q: On which curve does the perpendicular tangents drawn to the 1² hyperbola - 25 16 - 1 intersect?

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Q: 2. Consider the initial value problem tx' + x = 3t², syrols to x(1) = -2. pl (a) Find the exact…

A: Please find the attachment below

Q: Find r(t) for the given conditions. r(t) = r"(t) = -2 cos(t)j - 2 sin(t)k, r'(0) = 2k, r(0) = 2j

A: Value of the integral

Q: BD CE AF CD AE BF -=-1.

A: If D, E and F are three points on the sides BC, CA and AB, respectively, of a triangle ABC such that…

Q: Prove that for the operators A, B, and C, the following identities are valid: (a) [B, A] = [A, B]…

A: We have to Prove that for the operators A, B, and C, the following identities are valid: (a) [B, A]…

Q: Solve the initial value problem_dy/dt = co cos t, y(π/2) = -1.

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Q: A manufacturer of small appliances purchases plastic handles for coffeepots from an outside vendor.…

A: Given Data: E=0.04 Confidence interval = 95% handles = ?

Q: Suppose f: N N satisfies the recurrence f(n + 1) = f(n) + 7. Note that this is not enough…

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Q: Suppose that V is a finite-dimensional vector space with dim V = n. Prove that there exist…

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Q: In a quadrilateral PQRS, PQ = a. QR = b, SP = a - b. M is the midpoint of QR and X is a point on 4…

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Q: Another cool application of summation notation with matrices is to prove things about the trace of a…

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Q: Example 3: Determine the following limits. √√x-2 a) lim- 145X b) lim x-xxx-4 5x²-3x+4 xxx2x²+x-7 c)…

A: "Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 10. There are three line segments below. One of these is labelled "1" and is one unit long. The…

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Q: Let z = f(x, y) be a function on the plane and let (x, y) = r(t) be a curve in the plane. The…

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Q: 7. Find the order of growth of the following sums: a) 1(i² + 1)² b) Σ=1 Σ=1(i + j)

A: The order of growth of an algorithm is an approximation of the time required to run a computer…

Q: Consider the following problem : dy dre 2 = (y² - 19y +90) sin² (2πy), y(0) = a а 19 Innitial value…

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Q: 8* If 24x² + 72x+3m 6 = (ax + b)² for all x, then find a, b, and m.

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Q: Q3. For the following matrices find x, y, z, and w, then check your solution. 6[²] = [1³² W] + [(5z…

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Q: Show the complete solution for the following problem. (Typewritten as much as possible) Find the…

A: To find: The Complete solution to the IVP.

Q: Translation: Demonstrate the convergence or divergence of the series, using the criterion of reason…

A: Given Data: ∑n=1∞n!n-4! To demonstrate the convergence or divergence of the series by using the…

Q: Find the domain of the vector-valued function. r(t)= F(t) + G(t) where F(t) = cos(t)i sin(t)j +7√tk,…

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Q: 16. Determine by hand the determinant and trace from LU decomposition 20 C d 030 C 1000 a 100 a a 10…

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Q: Let A(t) = f(t)i + f₂(1) and B(t) = g₁(t)i + g₂(t)},t = [0, 1], where f₁,2, 8₁, 82 are continuous…

A: First we use the condition of parallel vectors and then by intermediate value theorem we will find…

Q: A, B & C are subsets of U A = (1, 2, 5, 6, 9, 10} B=(2, 4, 6, 8, 10} C = (3, 4, 7, 8) Create a Venn…

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Q: * Many times strokes are caused by a buildup of plaque in the arteries. Imagine the plaque buildup…

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Q: The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: 2. Solve for x if the following terms form an arithmetic sequence, (3x),(7x-14) and 5x - 4.…

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Q: Consider the set N²= NX N, the set of all ordered pairs (a, b) where a and b are natural numbers.…

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Q: Solve the following IVP. y"'-5y"-22y'+56y=0 y(0)=1, y'(0)=-2, y"(0)=-4

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Q: Hello, you have given two answers  for the domain and I am confused which one to use. Should I use…

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Q: Suppose that Pk k+∞|PK|| Calculate lim 18 PL = √(2)(1.5)4 [2] 35+ [1] +3(-0.5)k You can use an…

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Q: n the general solution section, how is sec(t)(2cos3t sin(t) −1) = 2cos(t) sin(t)−cos(t)? Show the…

A: given differential equation cost dxtdt+sint xt=2cos3tsint-1 divide both side by cost dxtdt+tant…

Q: Write an Add To, a Put Toget Compare problem, each of w subtracting 32 - 17.

A: Here, in the question a complex problem is given. We have to write an Add to, a put together/Take…

Q: Given the ordered basis B = {p₁ = −1 - 9x, p2 = −5+2x}, find [P]B, the coordinates of p = −13+ 24x…

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Q: 1) If S is o-algebra and FC S, then o(F) ≤ S 2) σ(F) = F F is a o-algebra 3) σ (F₁) = 0 (F₂) ⇒ F₁ ≤…

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Q: 12) x-y> 2 꾸 - 수

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Q: vectors i + cos (P- j+ cos (y - a) k, cos and s (ß−y) ĵ+ak, where a, ß and y are different angles.…

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Q: 47 1. Find the exact trigonometric ratios for the angle =- 3 2. Find the remaining trigonometric…

A: Note: Since you have posted multiple questions, we will solve first question for you. Kindly repost…

Q: Q1. Using double integral to determine the area of the region bounded by y = 2x² and y = 1 + x².

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Q: 5. A coliseum has 50 seats in the first row. At which row contains 62 seats if each row behind the…

A: What is Sequence: In mathematics, a sequence is a list of objects where repeats are allowed and the…

Q: Exercise 11.5.3. We know that the transpose of a n x n matrix is a nx n matrix. So we can consider…

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Q: The first credit card Elisabeth receives charges 13.81% interest compounded monthly to its…

A: compounded interest =13.81% n=4 months A=2425.23 i=13.8112×100   =0.011508 it is known that  A=P1+in

Q: 2. Without using mathematical induction, show that: n Σ¹ (1) ² k k=0 2n-1 = n(²n-¹), m-¹), n≥1. 2.1)…

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Q: 2.55 Find the eigenvalues and eigenvectors of the following matrices: 2√3 0 4 0 04 (c) 4 -4 0 -4 0…

A: as per guidelines,we suppose to solve first three subparts.

Q: Q1. Using double integral to determine the area of the region bounded by y = 2x² and y = 1 + x².

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Q: Solve (sin(x) cos(y)) dx + (cos(x) sin(y))dy = 0 if possible. If the equation is not exact, say so.…

A: First we check given differential equation is exact or not.  If given differential equation is exact…

Q: 22. dy dx xx + 2y -X-2 xy - 3y + x-3

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: Given