I find the Laplaa Transform ) f4): e" (3t*+ 1) - 5 sin at 5 sin 3t

Q: 1 -5<t<0 f(t) the value of b, is - +t 0<t<5

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Q: In how many ways can two hearts be drawn from a deck of cards? (Order is not important.

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Q: Find the volume of the given solid region in the first octan

A: Given, the plane                20x+10y+8z=40 and the solid is x=(2, 0, 0), y=(0, 4, 0), and z=(0, 0...

Q: Ands 1. Let m*(A) = 0. Prove that for every B, m*(BUA) = m* (B).

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Q: 11. Find the coordinates of the center of mass of the solid bounded by the paraboloid: z = 4 – x2 – ...

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Q: 2. (aibic) is He pt. on te plane 2x ty-32=5that is cioust to the pornt P(i,ll). Then atbre = all b)2...

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Q: n (-5)2η (j) n29n n=1 n (k) E(-1)"-1 in-1 yn n + 1 n=1 n νη + 1- νη-1 (1) E n=1

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Q: Solve the above system of equations below by Gauss-Seidel method: End the iteration when 3 decimal a...

A: We can solve this by using Gauss-Seidel method

Q: Suppose that R is a reflexive and transitive relation on a set A. Define a new relation E on A by th...

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Q: -12 3 3 3 3 -12 3 3 -12 3 Evaluate 3 3 -12 3. 3 3 3 -12 O A. 123 O B.-12 OC.No correct answer O D. 1...

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Q: A. Use Lagrange third order polynomial to interpolate the value of f(x) at x = 2.25, given the follo...

A: Given data is Formula for Lagrange 3 degree polynomial f(x)=(x-x1)(x-x2)(x-x3)(x0-x1)(x0-x2)(x0-x3)...

Q: A 20 kg object is attached to a spring with spring constant 260 kg/s². It is also attached to a dash...

A: We will start by taking differential equation generated by spring mass system and then use general s...

Q: dy 2. - (x +3y – 2)? dx

A: Solve the differential equation, by substitution method

Q: А. X+dy =3 2x -3ÿ =-8 B. x tay +2 =-2 X tdy +Z=-2 -2メ-39-2 = dx +4y tQz==4 ミ9

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem....

Q: By using matri x inversion , Solve the following - 2.04 G, + O, - 300 -2.04 . + O, =0 2.04 O, O, - 2...

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Q: 23. y + xy = ry, y(0) = 3 24. y +y %3D %3D = -x/y %3D

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Q: The Fourier series for the function f(x) = x, -T < x < T is sin nx E(-1)"-1. I-u n n=1 a) Sketch the...

A: “Since you have asked multiple questions, we will solve the first two questions for you. If you want...

Q: Solve the differential equation. xy' + y = 19Vx %3D

A: Given differential equation is xy' + y = 19x

Q: 1?+3 v (1) =: 4/ 5t +8 5<t< I5 Where t is in seconds and v is in m/s. Using Simpson 1/3 Rule using h...

A: Here the given function is                                     vt=t2+3;     1≤t≤545t+8 ;   5&lt;t≤15...

Q: Sketch the level curves of the function f(x, y) = y + 2 for c = 1. 7 4- -6 -5 -4 -3 -2 -1 2 4 -2 -3 ...

A: Level curve of the function  

Q: 1. Prove that the Taylor series expansion for the function f(x) =x' about x 1 is reduced to x'.

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Q: Suppose Y; are the fitted y-values for in a maximum-likelihood linear regression model and Y; are th...

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Q: 5. Prove or disprove each of the following statements: (a) Any set of 7 distinct integers contains t...

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Q: 1) The position of a mass point moving on a straight line is given by the following equation, x(t) =...

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Q: 4w dw = w2 –4 -3^(5/3) О з(3/5) 3^(3/5) 3 O O O

A: We have to evaluate the integral ∫124ww2-43dw.

Q: (ii) d²y Cx²e2x is the particular solution of 2 dx2 - 4y = 3e2x. Ур

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Q: Solve the following: (Show all details) 1. Let matrices be [3 0 4] A = |-1 2 2 5 4] [o 2] C = 2 4 li...

A: It is given that ; A = 304-122654  ,    B = 0-5-3-524-340  ,     C = 022413  ,  D = 61-47-83 u = 20-...

Q: Find the orthogonal trajectories of the given family of curves. Representative curves of each family...

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Q: To test the series for convergence, you can use the P-test. (You could also use the Integral Test, a...

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Q: (a) Find the rank and nullity of th4e following system of linear equations: x, +2x, - x, +4x, =0 2x,...

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Q: Multiple Choice. Write the letter of the correct answer. Kindly explain why you choose the letter as...

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Q: Let's generalize the situation in problem #1. Consider the relation < on the set [n] : {1,2,...,n}. ...

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Q: Frad PH) 5-a

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Q: Given the point D(−4, 5, 3) and A = yax + (x + z)z ay, express the D and A in: Kindly answer in vec...

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Q: Consider a string consisting of a's, b's, and c's, where the number of b's is three times the number...

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Q: The Fibonaccis Sequence is defined so that F = F –1+ Fr-2. Given that F12 144 and F13 233, find F14,...

A: Given that  The Fibonaccis sequence is defined. 

Q: Joy invests a total of $13,500 in two accounts. The first account earned a rate of return of 13% (af...

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next ...

Q: - Solve Homogeneous Ux =4 UxX,ucoit)=0 u(lo,t)=0 らoo(Xくら uC以io)-「。 X 5 <8 Tlo

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Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a...

A: We will check whether the given seq is increasing or not   

Q: PART I. EVALUATING LIMITS Construct a table of values to investigate the following limits: 10 a. lim...

A: As its not specified which sub-parts to be solved, we have solved first three sub-parts as per our p...

Q: 7. jika z + 0 (0, jika z = 0. f(z) = Show that: a. Function f continuous for C b. f'(0) is NOT EXIST

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Q: determine following series is convergent or divergent using the appropriate test   for convergence...

A: Given series is  e∑n=2∞1nlnnf∑n=1∞lnn3n+1

Q: x² iy? Find points where f'(z) exist x+y Given f(z) %3D x+y

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Q: Consider the bases A and B of R³ given below. 1 A = 3 1 B 1 If (x]A 6 , what is [x]B? -2 6 -2 10 -6 ...

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Q: Find the distance between parallel lines x - 2y - 8 = 0 and x - 2y + 8 = 0. Select one: O a. 9.24 O ...

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Q: Using truth tables examine whether the following statement patterns are tautology, contradiction or ...

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Q: 1 1. A = 1 2 -1 %3D -1 2 1 3 3 1212N 1.

A: We have to find the inverse matrix of the given matrix.

Q: Consider a driven oscialting spring-mass system modeled by my'' + by' + ky = Fo cos(wt). Find the re...

A: As given in the question

Q: Let k be a positive integer. Use induction to prove that (k – 1)"+1 +k2n-1 is divisible by k² – k +1...

A: To prove the given statement by using mathematical induction. 

Q: 12. Evaluate the given integral using a change of variables of your choice. Sketch the original regi...

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