Draw each of the trees for p=4 p=5 p=6 Exercises 1. According to the On-line Encyclopedia of integer sequences, the number of unlabelled trees with p vertices are P-42 trees p- trees p-66 trees

Q: 1. Evaluate the following real integrals by residue. theorem 3 • I- 88 dx (x²+1)(x² +9) ans tr 12

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Q: Suppose that Fiona likes cashews better than almonds and likes almonds better than walnuts. She…

A: Given:  Suppose that Fiona likes cashews better than almonds and likes almonds better than walnuts.…

Q: 6. Evaluate the following real integrals by residue theorem 3 • 1= √² 88 15249 dx (x²+1)(x²+9) ans…

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Q: 4 Andrea needs to buy many light globes of two types, Bayonet (B) and Screw-in (S). as part of her…

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Q: ● I=S dx z(20+2x)

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Q: 6. Evaluate the following real integrals by residue theorem 3 I=S -24 2 dx 2x (x²+a²) ² ans ? tr 493…

A: 6. To Evaluate: ∫-∞∞dxx2+a22

Q: Find the general solution of the given higher-order differential equation. y" - 2y" - 3y' = 0 y(x) =

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Q: The table below gives the result of an observation, is the observed temperature in degrees…

A: We have to find the solution of the given problem.

Q: Considering u = u(x, y, z) find the solution of the equation: 8³ u əxəyəz = 0.

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Q: Use cylindrical coordinates to find the volume of the solid. Solid inside both x² + y² + z² = 16 and…

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Q: A force of 640 newtons stretches a spring 4 meters. A mass of 40 kilograms is attached to the end of…

A: Given that a force of 640 newtons stretches a spring 4 meters. A mass of 40 kilograms is attached to…

Q: olve the differential equation by variation of parameters. y" + 3y + 2y = 1 4 + ex

A: Solution of the differential equation using variation parameter method

Q: Step 5 We have found the following derivatives of the functions u₁(x) and u₂(x). U₁ = Find the…

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Q: Suppose T:R³ R³ is the transformation given below. Determine whether Ti one-to-one and/or onto. If…

A: Given T:ℝ3→ℝ3 by Tx0x1x2=10 x1-10x2x0-x1-4x2-2x1+2x2   To determine: If T is one-one and/or onto.

Q: (a) For all n N and a # 0, show that ak an k=1 (b) For a sequence (xn) in R, suppose that there…

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Q: CENZO 20 /22/22 Esosceles Givens! MLABD=1330 AABD ACBD A ABC IS ISO sceles. The sum of the angles…

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Q: 1. Find the absolute and percent relative uncertainty. a. 6.2 (±0.2)-4.1 (0.1) = ? b. 9.43 (+0.05) x…

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Q: A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: 5. Solve the following linear system using the Elementary Row Operations method. X1 + 2x2 3x3 = -2…

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Q: A force of 720 newtons stretches a spring 4 meters. A mass of 45 kilograms is attached to the end of…

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Q: Find f(t). f(t) = 0 1 2 3 4 6 (t-3) (t + 3) (t - 3)² (t + 3)² (t-3)³ (t + 3)³ (t (t + 3)²/2 - 3)²/2…

A: Inverse Laplace transform

Q: 5. Evaluate the following integrals & • §. с Z e CASTZ dz, c: 1Z-il=1.5 ans? -uisinh/2 n **********

A: 5. To evaluate: ∮Cezcosπzdz where C: |z-i|=1.5

Q: Use Green's Theorem to evaluate the line integral √(x − x) dx + (2x - y) dy (y- for the given path.…

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Q: 2. Suppose a, b, c, d are integers and that (a, b) = (c,d) = 1. If (g) + (á) show that b = ±d. is an…

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Q: Example 1 [1 2 2 Given Q = 4 5 31 6 and P = L7 8 91 ΤΟ 1 LO Ο 0 0 1 OJ (a) Pre-multiply Q by the…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: L-116s16s2+1 As we know that,  L-1ss2+a2=  cos (at) So, the above equation can be written as:…

Q: A management consultant estimates that the number h of hours per day that employees will work and…

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Q: A company operates two plants which manufacture the same item and whose total cost functions are C₁…

A: given  C1=7.5+0.03q12C2=3.8+0.05q22 where q1, q2 are the quantities produced by each plant. total…

Q: Use Stokes's Theorem to evaluate integral C of F · dr.  In this case, C is oriented…

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Q: (2xy - x + 2y - 1) dx + (4x²y² - x² + 4xy² - x) dy = 0

A: Solution:

Q: Given surface A: 4x² − 9y² = 9(z² + 4) 1. Identify the type of quadric surface for A. 2. Give an…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

A: We have to find a member of the given family of functions which is a solution of the given initial…

Q: 2. Consider the problem u"(x) + u'(x) = f(x) u'(0) = u(0) = [u'(1) + u(1)], with f(x) a given…

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: a) Given the curve y = f(x) as in Figure 1. y i. ii. iii. 3 2 -1- 0 1 f(x) = 2 (3 + x) (1+x²) 3…

A: As per our company guideline we are supposed to answer only first  qs, kindly post remaining qs in…

Q: 8. The order of differentiation in multiple integration of continuous integrand A. has six…

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 1. -2y (-e) dx + e dy = 0 + ex

A: Equation is homogeneous so substitute y=vx and get a variable separable equation.

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: (1) let the differential equation be y''-8y'-15y=0 auxillary equation D2-8D-15y=0 now, ⇒m2-8m-15=0…

Q: Let BCR be the open ball of radius one centered at the origin, i.e. B = {(x₁,...,xn) € R" : x² + +…

A: As per the question we are given a n dimentional open ball B of radius 1 centered at the origin. And…

Q: 1 an (a) For all ne N and a # 0, show that 2a-1 k=1 (b) For a sequence (xn) in R uppose that there…

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Q: 1. Find the absolute and percent relative uncertainty. a. 6.2 (±0.2)-4.1 (±0.1) = ? b. 9.43 (0.05) x…

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Q: Determine whether the given set of f₁(x) = x, f₂(x) = x= 1, O linearly dependent O linearly…

A: I have given the answer in the next step. Hope you understand that

Q: 6. A number square is a square table with the same number of rows and columns. Each row, column, and…

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Q: Solve the following: (Show all details) III. Find the determinants of the following matrices using…

A: 1. Consider matrix A=90-7-32-1241 Now,  R3↔R1Factor=-1 A=241-32-190-7

Q: Find F(s). F(s) = 4/(s² + 16) -4 exp(TTS)/(s² - 16) s exp(-TTS)/(s² + 16) 2 exp(-TTS)/(s² - 4) 4…

A: Solution:-

Q: Suppose T: M₂,2→R¹ is a linear transformation whose action is defined by a+5b+3c+2d -a-5b-3c-2d…

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Q: Determine whether the given set of functions is linearly independent on the interval (-00, 00). fi…

A: We have to determine that whether the following set of functions are linearly independent or…

Q: 4. Solve the following linear system using the Gaussian Elimination with back- substitution method.…

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Q: Identify the type of solution for each problem and solve for the general solution. Choose the most…

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