Find the transform. Show the details of your work. Assume that a, b, w, 0 are constants. 2 cos" wl * sinh t e sinh 4t

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Q: Problem 4. Let n E N, prove that every prime divisor p of the number n4 – n2 +1 is of the form 12k +...

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Q: Thanks!

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Q: Question 3. Let u = (1, 1, 1) E R³ and denote U = span(u). Let W = {(x1, X2, 13) E R³ : ¤1+ x2 + x3 ...

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Q: Solve the equation

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Q: Use the table of Laplace transforms to find the inverse Laplace transform of 8 6 F(s) s + 3 g2 + 5? ...

A: Using inverse laplace of F(s) we have to find f(t) 

Q: 2 2 4 4 6 6 -=-X-X-X-X-X-X (1) K... 2 1 3 3 5 5 7 1 1 1 = 1- (2) + 4 3 5 7 9 n² 1 1 1' 2?' 3? 6 ?22 ...

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Q: A company plans to purchase a large piece of machinery with $5385 semi-annual payments for 41 months...

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Q: Two vector spaces V and W over the field F are isomorphic if and only if there is a bijection /: VW ...

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Q: (a) Insert 4 arithmetic means between 1 and 15. (b) Insert 5 geometric means between 3 and 192.

A: To find-  Insert 4 arithmetic means between 1 and 15. Insert 5 geometric means between 3 and 192.

Q: Answer True or False, and erplain your answer: if a 7 x 7 matrix has linearly independent columns, t...

A: If 7×7 matrix has linearly independent columns, then the matrix is invertible if and only if the col...

Q: 5x3 %3D15 ×12 구

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Q: dy/dx=j1y (a)solve the differential equation (b) solve the initial value problem with y(0)=j2 (j1...

A: We have to solve the given differential equation.

Q: At what rate of interest compounded semi-annually for 8years will Rs 3150 amount to Rs 4720?

A: Formula for given problem is FV=PV1+rnnt           (1) Where FV is future value, given as Rs 4720 PV...

Q: Find the General Solution of the systems and indicate Eigenvalues and Eigenvectors.

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Q: Determine (with proof) if there exist integers m and x such that 1997m + 47x2 = 3(17x – 1). | If the...

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Q: Use the table of Laplace transforms to find the following 99 L 84

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Q: Question 2: (a) Insert 4 arithmetic means between 1 and 15. (b) Insert 5 geometric means between 3 a...

A: To find-  Insert 4 arithmetic means between 1 and 15. Insert 5 geometric means between 3 and 192.

Q: Determine which choice best shows 2) A. V V V V V V V V 11 C.

A: Fractions

Q: Question 1. Suppose that G = xy = yx². {e, x, x², y, yx, yx²} is a non-Abelian group with |æ| = 3 an...

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Q: (f) Let A, B and C be three sets. Prove by contradiction that if An B C C and r E B, then x¢ A – C.

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Q: R.1. Suppose A – BC Cn D and x E A. Prove that if x ¢ D then x E B.

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Q: Using the Bisection method find the root of the polynomial f (x) = x³ – x – 2. use a = 1, b = 2

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Q: 1. The sum of two numbers is 45. The first number is twice as large as the second number. What are t...

A: We have to find the two numbers from the given data.

Q: Use Jacobi iteration to the following matrix and solve for the unknown terms | 4 -1 X1 X2 X3 X4 X5 1...

A: Jacobi method: The Jacobi method is convergent iff the co-efficient matrix is diagonally dominant. L...

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A: In this question, the concept of Linear Programming is applied. Linear Programming Problem An approa...

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: Find all real numbers a and b such that the complex numbers 21 = a² + 4b – bi and 22 = 4+b- 2 a²i ar...

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Q: 5. Solve the system of equations below by using the left division command - 3z=5 |2x + y 3x-2y +2z =...

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Q: if xo = 2, x1 = 3 and x2 = 4 the second degree %3| polynomial for f(x) = using Lagrange Interpolatio...

A: Given function is f(x)=12and the nodes are x0=2, x1=3 and x2=4. We have to find second degree Lagran...

Q: (b) Given the following logical circuit with three inputs A, B and C: i. Use the boolean algebra not...

A: Given logical circuit is Since we know the meaning of logical gates as     So 

Q: fØ: R → S is a ring isomorphism. Th Nilpotent elements Idempotent elemen

A: The properties of ring isomorphism are given. We have to select correct properties of it.

Q: Is this function harmonic? 2x + y³ – 3x?y a. Yes O b. No O c.Not at all O d. all of the above

A: coreect option is a. YES

Q: n° +3 1. For the function f defined by f(n) = (Use the Ad-hoc Calculations method).. for n e N, show...

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Q: 6. Which kind of relation models the data in this table? 3 4 5 -17.1 4.6 -17.1 -82.2 -190.7 Linear b...

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: te the integral I = Include 4 decimal places ox +6x+10 single application of the trapezoidal rule, m...

A: Consider the function f(x)=1x2+6x+10. The interval of integration is [0,1]. Therefore the change of ...

Q: 1) Consider the set X = {x E R* / 93x1 + 34.x2 + 26.x3 + 18.x4 < 131, x1, X2, X3, X4 E {0,1}}. (a) S...

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Q: Convert to integral form. Use either Gauss or Stokes theorem V × F = î

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Q: 4. Evaluate the integral I = sin? x dx Include 4 decimal places on your computation. a. single appli...

A: Trapezoidal rule  ∫ab f(x)dx=  Δx 2​ f(x0)+2f(x1)+2f(x2)+2f(x3 )+⋯+2f(xn-1 )+f(xn) Where ∆x=b-an   S...

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A: Introduction: The percentage is very significant in arithmetic. The base of the percentage calculati...

Q: Find the Maclaurin/Taylor series of the following problems. Show your complete solution. -2 1. f (x)...

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Q: ribute 15 coo

A: Given that 15 cookies are to be distributed among 5 kids. Also, find the number of ways if each kid ...

Q: The space X = {0,1} with topology T = {0, {1}, {0, 1}}) is To but not T Select one: O True O False

A: Discrete spaces are always T0 , So X is T0 .  A space X is a T1 space if and only if  for each x∈X, ...

Q: How many months will it take to pay off $6000 if payments of $727 are made at the end of every quart...

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Q: Rewrite each equation in fac- tored form and solve using the zero product property. A. x^2 + 18x + 8...

A: Zero product property states that if a.b=0, then either a or b is zero.

Q: A contract calls for a payment of P 1,200 at the beginning of each month for 12 months. At what rate...

A: We will use basic knowledge of the compound interest formula to answer this question. 

Q: 8. Solve the following system of differential equations by elimination. (Section 4.9) dx - 4y = 1 dt...

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Q: Suppose A C B, a E A, and a ¢ B – C. Prove that a E C.

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Q: 7. Consider the surface S defined by the equation x³ +y2 – 3x – 2y – 4z = -2. Find all points P = (x...

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Q: Solve using separation of variables: xy2 dx + e* dy = 0; when x -> infinite, y -> 1/2.

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