In Exercises 17-22, write , fdA as an iterated integral the shaded region R. 17. y 18. 2 F 12 1. 3 4. 2.

Q: 1. Find the following antiderivatives. 4 - 2" dy 49+1 (1) / (b) / tan u + tan u du tan? u – 2

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Q: Use limits to determine all the linear asymptotes of 3r2 – 5 2r2 + x if r1. 1² + 2x – 3'

A: Given: f(x)=3x2-52x2+x,if x<1x3x2+2x-3,if x≥1 To determine: All the linear asymptotes.

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A: Given question is a.) Laplace transformations transform differential equations into what equations?…

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A: Given : The characteristic polynomial of a matrix A, is given as C(λ) = λ4(λ-6)(λ-15)2 To find : We…

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A: We have to find the order of graph G = (V,  E) .

Q: 1. The Laplace Transform of f(t) = te' sin(2t) is

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Q: relationship een the number of Hours Tickets

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Q: Find the Maclaurin series for the given function. f (x) = 3"

A: We need to find , Maclaurin series for , fx = 3x. We know that , Maclaurin series is given by ,  fx…

Q: Consider A (0, 5, –1), B = (6, –1, 0) and C = (-4,0, 3). 1 A +B. 3 (i) Find the unit vector having…

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Q: a) ] Let W = span{(1, 1, 0), (1, 0, 1), (2, 1, 1), (0, 1,-1)}. i. Is (9,0,9) in W? Justify your…

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

Q: Consider the geometric series (x – 7)". For which x-values does the series converge? T İs in I…

A: Given :  The geometric series is given as ;  ∑n=0∞-18nx-7n To find : We have to find the values of x…

Q: X f(X)=log(X) 4.0 0.6020599913 1 4.5 0.6532125138 2 5.0 0.6989700043 3 5.5 0.7403626895 4 6.0…

A: We have to find log(5.234) using divided difference.

Q: QUESTION 3 Find the eigenvalues of the given matrix. Enter your answers from smallest eigenvalue to…

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Q: (-1)"n (xn) = п+2

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Q: valuale (li) dt

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Q: Define f:R → R by f (x) = 5x if x is rational and f (x) = x² + 6 if x is irrational. Prove that f is…

A: Given, f:R→R by f(x)=5x if f(x) is rational and f(x)=x2+6 if x is irrational.To prove that f is…

Q: Solve the differential equation using Laplace transform method. y"- 4y +9y =t, y(0) = 0, y (0) = 1…

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Q: Represent f(x, y) (0<x < 2, 0 < y < 4) by a double Fourier series пту f (x, u) = EBin Ssin () sin…

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Q: 4) show thud the numben of roots of 225-62²++1=0 in

A: The given equation is 2z5-6z2+z+1=0  and we have to find the root in the interval  1≤z&lt;2.

Q: 2. Find the solutions u(0.1) and u(0.2), of the initial value problem u' = x(1-2u ku(0) = 1 %3D…

A: Given: Initial value problem - u'=x1-2u2;   u0=1 To find the solutions u0.1 and u0.2 using the first…

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Q: The function f.(z) = sin(2z) has one residue %3D 3) Find the absolute value of the residue of f. The…

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Q: Which of the following graphs have Euler circults or Euler trals? OA: Has Euler trail. DA: Has Euler…

A: Solution: Given that

Q: Solve the system X'+y' + 2X = 0 Sint (1) (2) %3D

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Q: 2 2 Find a non-zero vector in R* which is orthogonal to 3 1 3 and 1 2

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Q: HeW. By the Same way Prove that: X Ju (x) (X)

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Q: Show directly from the definition that the following is not Cauchy sequence. (-1)"\ n +

A: This is the question from the sequence and series.

Q: Q1. Solve the followin

A: Given,        ut=uxx,     0&lt;x&lt;1, 0&lt;t&lt;∞              ...(1)ux(0, t)=u(1, t)=0,…

Q: In problems 10 thru 13, evaluate the integrals around the circle Iz| = 2, counterclockwise. 1= dz.…

A: We have to evaluate the integrals : (7) I = ∮Cezz4dz  ;  where C : z = 2  in counter clock wise…

Q: b = Find whether {a, b} linearly independent or not. 5. Let a are

A: Given a = 20 , b = 07

Q: 5xn X1 = 1; xn+1 = 1; Χn+1

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Q: Describe the graph of the equation. r = -6i + tj + (12 – 1) k O It is a parabola in thex = 6 plane,…

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Q: 1. A waterplane, 250 m long from forward to aft has the following ordinates (in meters): 2 3 4 6 7 8…

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Q: Is it true that when an n*n matrix whose columns form a basis of R^n, then A is invertible?

A: We shall answer this in next step

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Q: Analyze the approximate value and the exact value for (7.2, 4.06) for the function = x³y2 sin(xy) +…

A: Given below clear explanation

Q: using f(x)=(3x)^2-5x-12, find f(-3)

A: Given    f(x) = (3x)^2 - 5x - 12 , then f(-3) = ?

Q: what would the sketch of the graph look like?

A: The graph of x versus y'(x) is as follows:

Q: ) Confim by multiplication that x is an eigenvector of A, and find the eigenvalue, b) Detemine the…

A: a) it is given that ;   A = 5-113  and  x = 11.  We have to find the eigen value of A corresponding…

Q: [0.4 -0.3] 4. Let A = b as k → ∞. L0.4 1.2 Explain why Ak approaches [-0.5 -0.75] 1.0 1.50

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Q: y = Ce * + C2e 2x + C3e * + e 2x

A: y=c1e-x+c2e-2x+c3e-x+e2xy=c1+c3e-x+c2e-2x+e2x Here, complimentary solution is  y=c1+c3e-x+c2e-2x…