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

Q: Generate the 6th degree Legendre polynomial.

A: Solution

Q: 3t

A: We have to find the Laplace transform.

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A: Given A = -120-1  and  U = 10

Q: H13. estimate intervals to the approximate the Minimam number of Sub Velue of (ax 4) dx with an…

A: (a) We have fx = 2x2+4 then f'(x) = 4x, and f''(x) = 4 Note: We have second degree function.

Q: 4. Substitution Suggested by the Equation: (x+2y-1)dx+3(x+2y)dy=0

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Q: 5. Consider the functions et - e-* et + e-* a(x) = and B(x) = In this question, you may freely use…

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Q: seeds per hectare

A: expected plant population= 81000/hectare

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Q: II. Solve the following problems completely. 3. Determination of integrating factors: 2y(x+y+2)dx +…

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Q: Consider the following IVP: y' = et; y(0) = 2 Find the general solution. y(t) = 1 – e¯ 1- A В y(t) =…

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Q: Find the area of the shaded region. Vcos 20 r = 2 cos 0 NOTE: Enter the exact answer. A ||

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Q: 8. PROVE: Suppose that SCR is connected, and that f : R → R is continuous. Then f(S) is connected.…

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Q: Question 3. Sketch a graph and fit its linear regression. Find its r. 1 3 4 0.5 2.5 2.0 4.0 3.5 6.0

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Q: Solve. y" + 36y = u;(t), y(0) = y'(0) = 0 ( f(t) for t 5' The solution can be written as y(t) Find…

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Q: (b) 4x = 2 (mod n), n = 6 (c) 4x = 3 (mod n), n = 7

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Q: What value oft ensures the following system of equations has no solution? 3r + (12 – 4)y = 1 = 2 ty…

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Q: Exercise 14.6.11. Suppose a is an an even or odd permutation? n-cycle. How can you tell whether a is

A: EX 14.6.11 : If σ=(a1 a2 a3....an), We need to explain how can we identify whether σ is an even or…

Q: rm of the wayeform

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Q: Newton bought five books paying $42, $58, $43, $32, $63 for each one. Calculate the average price…

A: Given Newton bought five books paying $42, $58, $43, $32, $63 for each one.

Q: If A and B are n x n symmetric matrices, then AB is symmetric. A) True В False

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Q: Q/ Prove that fca)=G has a Power Series (z+2) (z-1) as the form ()" (1-4") litd 3

A: We have to show that fz=1z+2z-1 has a power series as the form 13∑n=0∞-1n1-4nz-2n+1

Q: -El--E--E| a) Consider a set of vectors, x =|3 ,y =| 2 , and %3D 14 Can we express the vector, v = 4…

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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: [(5+ 2i)(-1+ 4i) – 5260°]*

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Q: a) Solve the linear system below using Gauss Elimination and determine whether the solution is…

A: The solution is given as

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A: For any particular phenotypic combination in the species,       For hair, 4 options are available.…

Q: 8. Demonstrate that the equation 21 = 3 (mod 6) has no solution by plug- ging in all possible values…

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Q: 2. Verify the final value theorem for the function 3t²e¬4t and determine its steady state value.

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: 2. y' – 2r³y = x³y-

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Q: Prove each of the following by mathematical induction. 1.3 + 2.4 + 3.5 + ..+ n (n + 2) = (n) (n+1)…

A: The Principal of Mathematical Induction states that if P(n) is defined for integers n, and a fixed…

Q: Suppose A and B are NONZERO matrices such that AB = [0]. Then there is no other matrix C such that…

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Q: Using the Divergence Theorem, evaluate I= F-dS where S is the sphere of radius 2 centered at the…

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Q: Use the Newton Raphson Method to find the root of f(x) using 2.2 as the starting value of x. Iterate…

A: f(x) = tan-1x2+x-6 then f'(x) = 2x+11+x2+x-62

Q: [2 - 3 2 - 3 and be express as A = LU as below L4 – 1 - 2 1 c) Let A = |1 | 01 [u11 U12 U13 [2 - 3 2…

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Q: True or false 1. (peq) = -(p=-q)

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

Q: On the coast there are three lighthouses. The first light shines for 3 seconds, then is off for 3…

A: Solution

Q: In the Secant Method of numerically finding a root of a function, the algorithm for iteration is: Xn…

A: Given :  The algorithm for iteration is given as ;                 xn+1 = xn -…

Q: 4. Given the system dr -6x – y dt dy dt. 3x 2y (a) Find the general solution. (b) Find the solution…

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Q: 3. Determination of integrating factors: 2y(x+ y+ 2)dx + (y -x -4x-1y = 0

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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: Question 2: A discrete random variable X has a probability distribution function given by P(X = x) =…

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Q: и Write the vector shown below as a combination of vectors ū and v shown above

A: Solution

Q: Find the area of the shaded region. r = Vcos 20 r = 6 cos 0 NOTE: Enter the exact answer. A =

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Q: uestion 9 w many five letter words beginning and ending with a vowel without any letter repeated can…

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Q: Va es Vy 3. Is the walk v1ej v2@2 V4€4V3 e5 v1 an Euler path, circuit, or neither? Path O Neither…

A: We are given the simple graph.

Q: total distance the ball has traveled before coming to rest? 3. An oil well produces 30, 000 barrels…

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Q: [211 b) Find the inverse of the matrix L = 3 4 1 with the determinant of the matrix L= -2. L3 2 1

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Q: From an initial population of 2500 , the number of Encantados living in the kingdom of Lireo rose to…

A: Given, Initial population,P0= 2500Final population, P = 62,571Number of years, n =46Birth Rate =…