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Q: Q.1 Evaluate –1)

A: Some of the properties of Laplace Lu(t-c)g(t)=e-csL[g(t+c)] L[tneat]=n!(s-a)n+1 Leat=1s-a    

Q: Show that if a function has a unique right inverse, then it is necessarily bijective.

A: When the composition of two functions is the identity function, the functions are referred to as the...

Q: Q2. Find the radius of convergence and interval of convergence of Σ i n! n=0 2"

A: Let us consider the power series ∑n=0∞an(x-a)n There is a positive number R such that , the series ...

Q: Why is a homoclinic orbit in a phase space not periodic?

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Q: 1– x2 lim r--00 3 + 2x – x3

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Q: 1. Decimal System – base 10; 0,1,2,3,4,5,6,7,8,9 2. Binary System - base 2 3. Octal System - base 8 ...

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Q: Work this problem by hand. Let

A: Given,       A=0110, and  q0=abT, where a, b≥0, and a>b.

Q: 6. (D3 - D)y = x

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Q: H = (8) in G = Z24 H = (3) in G =U(8) %3D %3D H = { (1), (12 3), (13 2) } in A4

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Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given m...

A: As given by the question There are given that the matrix: 4-812-12-3 To find the parametric vector f...

Q: Initlally 100 milligrams of a radioactive substance was present, After 6 hours the mass had decrease...

A: The general solution of a differential equation always contains a constant of integration. The initi...

Q: passes through the point (5, 4). Write the Point-Slope form of this line and then solve to find the ...

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Q: From the following figure find the average value of n diameter cm vs circumference 7 y = 0.2975x + 0...

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the ...

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Given function is fx=e2x and c=0. We have to find the Taylor series of the given function. The Taylo...

Q: Which of the following sets of numbers could not represent the three sides of a right triangle?   {...

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Q: Find the inverse for the following function f(x), and find the domain and rang for f(x): x+2 f(x) = ...

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Q: Jsing the technology matrix A = 2 , find the production schedules that satisfy the following demand ...

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Q: Find a real general solution x2y"+0.7xy′−0.1y=0

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Q: Let a be a positive real number. Evaluate va² – x?dx.

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Q: -> Positive Undefined Zero 4. Negative

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Q: Topic: interpolation and polynomial approximation             1 + 2x - x3 , on [ 0 , 1] f(x) = {   ...

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Q: Suppose AnB CC\D and x E A. Prove that if x eD then x ¢ B. (Hint: prove via contrapositive)

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Q: Given y1 = z is a solution to z*y'" – zy' + y = 0 on 0 < z < ∞, use reduction of order to find anoth...

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Q: At what points does the helix r(t) = (sin(t), cos(t), t) intersect the sphere x2 + y2 + z = 17? (Rou...

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Q: Which response has the correct number of significant figures and units for the following mathematica...

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Q: A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least...

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Q: Based on the graph below, which of the following statement (s) is/are true about f(x)? i. lim f(x) =...

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Q: Find the Fourier transform of f (x)- 2ix if -1<x< 1 lo f(x) = otherwise

A: The Fourier transform of the function f(x) is defined as ∫-∞∞eikxf(x)dx. The Fourier transfrom trans...

Q: How many distinguishable permutations are there in the word PASS?

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Q: Problem 3. Express A = B as a quantified statement a) using onlyV over the universal set. b) using o...

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Q: Let m and n be positive integers.

A: Given, m and n be positive integers.  To prove that mℤ⊕nℤ is an ideal of ℤ⊕ℤ and that               ...

Q: 2. IShow, using the definition of the derivative, that the function f(x, y) differentiable at every ...

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Q: QUESTION 8 Three pipes of radii 2.50 cm, 3.25 cm and 4.25 cm are welded together. Find the angles be...

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Q: For f (x) = , given e < 1, what value of d proves the continuity of f at x = 1? (You may assume that...

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Q: y" - 4y' + 5y = 0

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Q: --E-A---A--) 4 into 3 into 3 Let T: R2→R2 be a linear transformation that maps u = and maps v = Use ...

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Q: otal sales are $60,650. How many tickets of ea ow many $10 tickets were sold? ow many $20 tickets we...

A: total tickets sold =3223 let $10 tickets sold = x  therefore $20 tickets sold = x+160 Calculate the ...

Q: Assume that T is a linear transformation. Find the standard matrix of T. T: R°→R2, T(e,) = (1,8), an...

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Q: Current Attempt in Progress The concentration of the car exhaust fume nitrous oxide, NO2, in the air...

A: Given : The concentration of No2 varied with the distance from the road Let x be the distance from r...

Q: Solve the given differential equation by undetermined coefficients. y' + y = x² - 4x y(x) =

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Q: Let f be bounded on [a, b] ond let PEPLA b]. Prove that the Jawer sum s(P) of t over P ic the infimu...

A: Given that f is a bounded function a,b. Let P∈Pa,b be a partition. Let P=a=x0&lt;x1&lt;…&lt;xn-1&lt;...

Q: Solve the following initial value problem over the interval from t = 0 to t = 2 where y(0) = 1. Disp...

A: Note:- Given differential equation is an ordinary differential equation so, it has one independent v...

Q: Find the general solution of the system whose augmented matrix is given below. 1 3 1 2 4 12 2 -2

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Q: 2n bị 2n 2n paz x a, , b2 = a, xa x a, , bz = a, x -аз ха,,

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Q: 3. Use the definition to show that the function f(x) = is continuous on the interval [c, o0), where ...

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Q: Find: Tx; Ty,Txy Tyx, Txx Tyy

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Q: (x+1)dy = (2xe* - xy - 2y)dx %3D

A: Given  x+1dy=2xe-x-xy-2ydx....(1) Here, we have to solve the differential equation.

Q: Show that H ((1 2)) is not normal in S3. However, why is H' = ((123)) normal in S3?

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Q: 2 X; glo)=0; y(0)= | 2. t.

A: To find- Solve the given differential equation y'' + y' - 2y = 2x ; y0 = 0 ; y'0 = 1

Q: T.A body weighing 10 kg is hung from a spring. A pull of 20 kg. wt. will stretch the spring to 10 cm...

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