What is L-' 1 using Completing the Square? s+s-15 1

Q: Consider the following equation (1−2x−x^(2))y''+2(1+x)y′−2y=0

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Q: Z=36-4x²-4 a.) Draw a Con tour map nSing 2=0,1,2, 3, 4,5,and 4.

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Q: n² +1 (b) +1 n=1 (c) n3 5" n=1 (-1)" Vn +1 (d)

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Q: Suppose $2500 is invested at an annual percentage rate of 3.25% compounded quarterlyper year. A) Ho...

A: The amount after 2 years is given by  A=P1+r100nt where r is the rate of interest and t is the time ...

Q: q.Evaluate. He. following.integuals.by.changing. the.arder.of.. integrahan.s. a... In3 +e simril dxd...

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Q: Find all distinct eigenvalues of A. Then find the basic eigenvectors of A corresponding to each eige...

A: The given matrix is  A=-3-12240-220-33 the characteristic equation is A-λI=0-3-λ-12240-2-λ20-33-λ=0-...

Q: Let R - Fs(2]/( + 2). Please compute the powers of a in the multiplicative monoid of R. give your an...

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Q: (a) Consider an optimization problem How are the augmented matrices for a minimization and dual maxi...

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Q: nd Solve:- Qz: Chassify - 3x dy +(3X+リ』= e

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Q: By applying Rolle's theorem, check whether it is possible that the function roots. Answer: ?

A: The given equation is f(x)=x9+x-6 f'(x)=09x8+1=09x8=-1 If f(x) has two real roots then By Rolle's th...

Q: (d) A company has three factories. Each factory produces three different products (A, Band C). Facto...

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Q: 2. x + 5y + 15 z + 35 w + 70t = 0 X + y + z + W + t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20...

A: We have to find the solution of the linear system.

Q: term

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Q: y"(x) + Ay(x) = 0, y(1) = 0, (/(2) = 0.

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Q: Find the volume of the solid that lies under the paraboloid z = 102 – a² – y² and above region R = {...

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Q: [8] Fill in the blanks to rewrite the following statement with variables: Is there an integer with a...

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral L{f{t)} ...

A: Given function is f(t) = cos(t),0 ≤ t < π0,t ≥ π

Q: 5. f(t) = sin (6t).

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Q: B Suppose we want to find all the points on the surface gx, y) x+ 4y - 4 where the tangent plane is ...

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Q: Romberg integration is used to approximate f(x) dx. If f(2) = 0.51342, f(3) = 0.36788, R31 = 0.43687...

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Q: Let p : X Y be a quotient map. Let Z be a space and let g : X→Z be a continuous map that is constant...

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Q: Evaluate 10s? – 5 - L-1 2 (s² + 1)(s² + 3)²

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Q: [9] Let A = {a, b, c, d} and B = {1, 2, 3}. Define a function F: A → B as follows: F3(а, 3), (b, 3),...

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Q: Question 5. (a) Prove that every element in Q/Z has finite order. (b) Prove that every non-identity ...

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Q: The table on the right gives the annual income for eight families, in thousands of dollars. Find the...

A: Given that following data Family Income x A 49 B 51 C 46 D 48 E 47 F 48 G 45 H 50...

Q: Evaluate (-5 – j6)īo in exponential form 10

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Q: EX:what is L sin²t

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Q: Tran siate the items into mathem atical sysmbol. For all po ritive in tegers y i eight minus y is eq...

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Q: R.4. Prove that for every integer n, n³ is even if and only if n is even.

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Q: 1Fin a normed space X, the a bsolute convergence of everyseries al ways implies convergence of the s...

A: Let X  be  a normed space . We have given that absolute convergence of every series in X always impl...

Q: 1. Determine the FOURIER COSINE SERIES of the following STEP FUNCTION: (-1,0 < x < 2 f(x) = } 0,2 < ...

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Q: Suppose that f(x, y) 2a + 4y on the domain D = {(x, y) | 1 < I< 2, x² < y < 4}. Then the double inte...

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Q: Given: 1 2 B = | 2 1 -1 |-1 1 1 2 -2| 1 A = |-1 1 1 2 1 2 Find the following and show how you get yo...

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Q: Show all work. Does the following integral converge or diverge? Show all steps 1 (x - 1)4/3 dx 0.

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Q: Find F(s) for f(t) = sin? 4t

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Q: Prove or Disprove. for any real numbers x and y, |x+y| = |x| + |y|

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Q: must include the entries augmented to the original one. 9. The difference between a complex number z...

A: We have to check whether given statement is true or false.

Q: e. f(x) = 2* DA. O(x²) B. 2(x²) Oc. O(x²) . f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²) ...

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Q: (b) The rank of the matrix A is 2. 2 4 2) A = (1 k 3 1 2 2/ (i) (ii) Determine the value of the cons...

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Q: b Suppose we want to find all points at which the direction of fastest change of the function f(x, y...

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Q: 15. IM IM IM: IM:

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Q: 2. Suppose that u, v, and w are vectors in an inner product space such that (u, v) = 2, (v, w) = –6,...

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Q: n a class of 24 students there are twice as many male students as female students. Twelve students h...

A: There are total of 24 students. let the number of female students = x therefore number of male stude...

Q: Solve the heat equation, ut(x,t) = uxx(x,t) u(0,t) = u(3,t) = 0 u(x,0) = g(x) Because g is no...

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Q: . f(x) = 2* DA. O(x²) DB. Ω(x) Dc. O(x²) f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²) DB....

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Q: ollowing integral by using Trigonometric substitutions Method: dx y = V4 + 25x2 ーマ

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Q: Question 2. Let G be a finite group, H 3 G, N 4G, and gcd(|H|, |G/N|) = 1. Prove that H 3N.

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Q: Note: Show your work for theses problems. However, you may use a computer for matrix arithmetic. 1. ...

A: Use the slack variables to convert the inequality into an equation.

Q: nd Solve:- Qz: Chassify - 3x dy +(3X+リ』= e

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Q: Suppose L is a polynomial differential operator of order 2 and L(te^(3t)) = 5e^(3t), L(e^(3t)) = 0, ...

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