Q3/ Find the Laplace transform of y(t)=e't Sin(t)Cos(t). a) 4(s-1)[(s-1)2+4]2 b) 2(s+1)[(s+1)2+4]2 c) 4(s+1)[(s+1)2+4]2 d) 2(s-1)[(s-1)2+4]2

Q: Q2: Find the interval convergence and radius of F(x)= п! n=D1

A: We will use the basic knowledge of real power series to answer this question.

Q: Solve the equation using the Laplace transform method y" + 4y' + 8y =cos 2t , y(0) = 2, y'(0) = 1

A: We have to use the Laplace transform method to solve the given differential equation with the initia...

Q: 4. Let B = {b1, b2, b3} be a basis for a vector space V and let 1 -4 3 -1 1 - T:V V be a linear tran...

A:

Q: rest from the right vise with an accelera mains constant. Fin

A: The acceleration (a) of the particle is 0.25 m/s2. The body accelerates from rest until a time of 4 ...

Q: Find the Fourier Series of the function f(x) f (x) = (1 - t/2 -2 <t < 0 (1+t/2 0 <t<2

A: The given problem is to find the Fourier series expansion of the given periodic function with given ...

Q: Using EXCEL, find the root of the following nonlinear equations by (a) Newton's Method (xo = 0) and ...

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: One of the popular 3-point numerical differentiation formula is given by -3f(xo)+ 4f(0 +h) - f(xo+ 2...

A:

Q: 7BAC =>7A

A: this is a problem of Logic.

Q: Use the Squeeze Theorem to evaluate the limit lim f(x), if 2x 1< f(r) < 2 on [-1, 3].

A: Squeeeze Theorem: Suppose that g(x)≤f(x)≤h(x) for all x close to a but not equal to a. If limx→agx=L...

Q: Q2) Use rounding to 6 digits and compute each of the following: a) P(0.01), where P(x) = (e* -1-x)/x...

A:

Q: Determine the center Z(S) of S.

A: This is a problem of Group Theory.

Q: any appropriate method in findins fhe ndhicanted solteion of the folowing differential equation. Use...

A:

Q: [13 17 61 B =|-1 -4 2 -2 31 19 C = 20 -4 -1 3 -11 12 2 A =5 2 7 -9 10 2 2 -5 -3 -11 1 -10 -3 -6 2 18...

A: Solution

Q: Lines through state-space in the Lotka- Volterra model are called a. paired equilibrium densities b....

A: The lines through state -space in lotka volterra model are called zero net growth isoclines.

Q: An investment company pays 6% compounded semiannually. You want to have $19,000 in the future. (A) H...

A:

Q: Find the root of the following using the method indicated. E < 0.0001 1. f (z) = sin I +e - 2, xo = ...

A: Use the following formulae, to find the root of the function fx. Fixed Point Iteration Method: Rewr...

Q: Solve the system of congruence 3x + 7y = 10 (mod 16) ( 5x + 2y = 9( mod 16) . Hint: Eliminate x by m...

A: Given system of congruence is  3x+7y≡10(mod16)5x+2y≡9(mod16) we have to solve this.

Q: VZ (k=1)

A:

Q: In Problems 1-8, find a general solution to the differential equation using the method of variation ...

A:

Q: We consider the differential equations /(t) = cos(t) /(t) = cos(y(t)) (1) (2) 1. We first consider O...

A: The differential equations given are as follows: y't=costy't=cosyt (4) We are asked to determine gra...

Q: 2. It is desired to obtain the real-valued roots of S(2) = 0, f(z)= (x*. 8. - 6z - 5z2 + 6r - 4VT+10...

A: We will use basic knowledge of set theory and real-valued functions to answer the first two subparts...

Q: 2s - 1 43. s2 - 6s + 18

A:

Q: ded as a Fourier se of x, then

A:

Q: For what value does the integral cooverge? When the inteqal does coamge , what is its valve ?

A: Introduction: When the integrand is discontinuous at any of the limits of integration, the integrati...

Q: If you were going to use a proof by contradiction to prove the following theorem, which of these wou...

A:

Q: Y Find S Zdz Such that c is the line which joining A,B,C and D as follows A (o,1) yB (2,1) , C (3,2)...

A: Here, firstly we have draw the line C with the given points. Then we have to find integration value ...

Q: = {1,2,...,100} then H is equal-- {1,2,3,...,1

A: We are entitled to solve one question at a time , please resubmit the other question if you wish to ...

Q: Solve 52x + 67y + 46z = 175 67x + 73y + 54z = 194 46x + 54y + 65z = 165

A:

Q: considered a data 1,3,5,7,9,11,13,15,17,19,21,......81. how many iteration are required in linear se...

A: We will make a very simple C++ code to answer this question.

Q: 1. Let U24 = {z E C|224 = 1}. Define §24 = cos () + i sin (). %3D (a) List all subgroups of U24 and ...

A: The given question is related with group theory. Given that ,          U24 = z∈ℂ | z24 = 1 and ξ24 =...

Q: 34. Prove the time-scaling property (property III, Appendix A). 1 Hint: Let u = ct, and v= s/c, then...

A: Introduction: For a piecewise continuous function ft on the positive real interval, its Laplace tran...

Q: -, first prove that )" 6.

A:

Q: If z1 3D 3cjs (끝까) , z2 = 3cjs (-7) and z3 = 6cjs ( T) (2)) (2)*(35)" what is 32 (을-)7 뚜 이 0 12플 o 1...

A:

Q: tan¬1(z3) O 1.6293 - 0.3856i O 1.7644 - 0.6938i O 1.3390 + 0.4024i O 1.2969 + 0.5153i

A:

Q: الموضوع lif fory) =tan ( find of and 2f? ay.

A:

Q: Determine the volume of the solid formed by revolving the area bounded by 9x2 + 36x + 4y2 + 24y + 36...

A:

Q: Convert each equation from polar to rectangular form. 9) r= 4csc 0 10) r= 2sin (0 +") 11) r² = 5sec ...

A: We have to use relation between cartesian and polar co ordinate system  x = r cosθ  , y= r sinθ Squa...

Q: Learning Activity 3 Solve the following by inspection (using graph), and justify the method of solut...

A:   Max Z =   5 x1 - 6 x2 + 3 x3 - 5 x4 + 12 x5 subject to     x1 + 3 x2 + 5 x3 + 6...

Q: solutions using Integrating Factors Found by Inspection a. 2 x^5 y′ = y(3x^4 + y^2) b. (2y − 3x)dx...

A:

Q: (22)8

A: Solution

Q: Use partial derivatives to obtain the formula for the best least-squares fit to the data points. (1,...

A: Solution 

Q: One solution of the differential equation is given. Find the general solution. y^(3)-y''+9y'-145y=0

A:

Q: 2.) State which rule of inference is the basis of the following argument: a. "It is below freezing n...

A:

Q: cosh(z3)

A:

Q: ENCY The diagram below shows a collection of squares and circles. Answer the following ratio questio...

A:

Q: D. 13 mm 15 mm 74 59 12 mm

A: Introduction: The formula for the law of sine is given by, sinAa=sinBb=sinCc Where A,B,C are angle o...

Q: 4. Solve the following system of simultaneous linear equations using the Gauss-Seidal method. c. 15x...

A: We have to find the solution of the given system of linear equations in three variables using the Ga...

Q: 6.

A:

Q: -Consider the problem of approximating the value of V3 as a root of f(x) = r2 -3. (a) Calculate an a...

A:

Q: James received $3,000 in his first month of working with Star Sales and a $9,550 commission increase...

A: