confirm that the intergal test is applicable and use in to determine whether the series converges   sum of infinity whereas k=1       1/1+9k2

Q: Please use Laplace Transform Method Consider the following IVP: y" -10y' +9y = 5t, y(0) = -1, y'(0)…

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Q: Determine if the given functions f(x) are continuous or not at the given value of z. Show your…

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Q: Using Stoke's Theorem Evaluate [(2x- y)dx – yz²dy – y° zdz) where is the circlex + y = 9…

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Q: 3- if a belongs to the set of all even natural numbers, and b belongs to the set of natural numbers…

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Q: Determine whether S is a basis for the indicated vector space. S = {(0, 0, 0), (3, 6, 5), (5, 1, 3)}…

A: Given S = {(0, 0, 0), (3, 6, 5), (5, 1, 3)}

Q: 1) Find the area of the region that lies inside the curve r =1- sin 0 and outside the curve r= 1.…

A: here we use the basic form of integration .

Q: - 15 - 13 -1 Let y = and v2 Find the distance from y to the subspace W of R“ spanned by v, and v2,…

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Q: show that the binary structures {Q,+} with {Q,+} where (x)=x/2 for xEQ are isomorphic

A: Given :  It is given that ℚ, + and ℚ, + are two binary structures with the mapping f(x) = x/2 for…

Q: Solve the initial value problem below using the method of Laplace transforms. 元 y"+4y'+3y = - 7…

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Q: Question 4. The function f(t) is defined by -3t – 6, 0<t <3 2, 3<t<5. Let f (t) denote the periodic…

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Q: Consider the small country of Tasmania with the three states and their population in the chart…

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Q: A. Complete the table if y varies B. Complete the table if y varies in- versely as x. directly as x…

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Q: For the vector fleld G = (ye" + 3 cos(3r + y))i + (re + cos(3a + y)) j, tind the line integral of G…

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Q: (1) Show that planes perpendicular to the r-axis have equations of the form r = a sec 0 in…

A: We will use relation between cartesian and cylindrical co ordinate system

Q: Determine if the set of vectors is a basis of R. If not, determine the dimension of the subspace…

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: Consider the following two ordered bases of R2: {(-1,1), (–3, 2)}, c = {{-1,2), (-1,3)}. B a. Find…

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Q: 3 euler cauchy) 4. 11) €

A: Given question number 4 is related to ordinary differential equation. We will find the solution of…

Q: Let W be the subspace of R spanned by the vectors 3 and -6 12 Find the matrix A of the orthogonal…

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

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Q: Evaluate the indefinite integral. | 2* (2° + 1)/2 dx Integral =

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Q: Which of the following is the negation of the proportion: "For every natural number n, 2n + 1 > 1."

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Q: Let f(x) = tanx. The Maclaurin series of f(x) is E=0 (-1)" -1 x2n + 1. 2n+1 With this, approximate…

A: We have to approximate the value of x arctan(x). Where x = 1/2.

Q: Direction: Determine the Inverse Laplace Transform of the functions using the Laplace of Integrals…

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Q: Define L: Z → Z and M: Z → Z by the rules L(a) = a2 and M(a) = a mod 5 for each integer a. %3D (a)…

A: (a) (LoM)(16) = L(M(16))                           = L(16 mod 5)                           = L(1)…

Q: The steady-state temperature, u(x, y), following boundary value problem (BVP): across a thin…

A: Let us solve the given problem step by step  Since u have mentioned a and b are non zero are…

Q: 1. Solve the following set of equations using Excel: 6x1 + 2x2 + 5x + 4x2 + X3 X4 14, X3 X4 3x5 0,…

A: Consider the set of equations: 6x1+2x2+x3+x4          =145x1+4x2+x3+x4-3x5=0…

Q: 3. Use the third degree Maclaurin polynomial of f to approximate th value of 0.2 ln(1.1), give your…

A: Macluarin polynomial of the function

Q: The payment on a 15 year loan at 9.36% compounded weekly is $180.00. Calculate the amount of the…

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Q: Solve the given differen hal equat.or by unde termined coeFFICients ay= (x-9) sin ?

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Q: Given the vectors x and y',..., y™ in R". Our objective is to check whether x E conv{y', . , y™}.…

A: Given:vectors x and y1,...,ym in Rn

Q: Solve the initial value problem: 1 y" + 2x(y')² = 0; y(1) = 5; y'(1) = %3D %3D 3

A: We will use substitution technique to solve the problem.

Q: Solve the following ODE using the power series method. y – 4y = 0

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Q: 1. Find all solutions of u,+2u-3u- – 4u, +4u, Hint: Solve the characteristic equation (y)²-2y-3=

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Q: How is math connected to Veterinary Sciences? Give credible sources and examples.

A: Given, Relation of maths with veterinary science To give sources and examples related to the…

Q: 14. If 3 a = 2a워= 45 ,. (2) ,(2) (2) ni 2nl

A: Given equation is  32n|=222n|=45s21|

Q: 2. Let A = (1, –1, 2) and B = (4, –2, 3). Solve for projĄB.

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Q: Use the fact that matrices A and B are row-equivalent. 1 2 10 2 5 1 1 2 2 -2 A = 3 7 19 44 13 4 4 3…

A: As per bartleby guidelines we are supported to answer only first three subparts. Kindly repost rest…

Q: 6. Determine the moment of inertia of the composite area about the centroidal axis. 240 mm 50 mm 50…

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Q: let x be a nonempty G-set and let You be a nonempty subset of x. let Gy={g € G | gy=y for all your…

A: Let X be a non-empty G-set. Also , Y be a non-empty subset of X. We have a set , GY = g∈G / gy = y ,…

Q: Use the tables of Laplace Transforms to find the inverse Laplace Transform : F(s)= 2 s² +35-4

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: ulus) 1) Solve the following congruences system. 5x +4 = 12 (Mod 7) 14x - 3 = 19 (Mod 5) 2) Prove…

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Q: 1. A power series is a series of the form and cn's are. where x is a

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

Q: For a general graph of a function a g(y) that may go to the left and the right of the y-axis, %3D…

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Q: Find the inverse of laplace, f(t) if: 4s + 12 7. F(s) || (s – 1)(s – 3)3

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Q: Define the function zlm(z) z +0 f(2) = Z = 0 1. Prove that f is continuous at the origin. 2. Prove…

A: This question is related to complex analysis . Topic is continuity and differentiability.

Q: Solve the given problems. 1. Determine the distance i to the center of mass of the homogeneous rod…

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Q: After 10.32 years, Mary's money became 2 % of its initial value. The money was compounded…

A: here we will use compound interest formula  If P is the amount invested  r is rate of interest per…

Q: Find the inverse of laplace, f(t) if: 4s3 + 12s? 6. F (s) %3D (s – 3)4 -

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Q: Consider the function f(x) = In(1+x). (a) Find the first five nonzero terms of the Maclaurin series.…

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