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Q: Find the Laplace transforms of the .given functions f(t) = cos (5t)

A: using trigonometric identites : cos (2t) = 2 cos2(t) - 1rearranging we have cos2(t) =cos(2t) + 12cos...

Q: QUESTION 8 List the elements in (3))in Z 18 -

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Q: 22. Let P be an idempotent matrix. Show that the only eigenvalues of P are A = 0 and A = 1. [Hint: S...

A: Eigenvalues of idempotent matrix

Q: Find all the roots of z = 1

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Q: 2. (2 + j)(3 – j2) = a + jb 3. (x – j2y) – (y – jx) = 2 +j b =? x =? y =? a =? | |

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Q: (b) 4x²y"(x) +4xy'(x) + y(x) = 0, x > 0

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Q: H M R E 4 A 12 F 2.

A: ∠HIM=∠HER=∠HAF=90°

Q: For each of the following functions f(n), show a function g(n) such that f(n) E e(g(n)) and orovide ...

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Q: show that uuX)-X (1+x*J% I'sasolutionto integralequation ux)=X-sinh (x-t)u (t) dt

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Q: Exercise 8.7.14. (a) Prove that any inverse of a bijection is a bijection. (b) Show that the inverse...

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Q: Suppose that a and b are integers. a ≡ 7 (mod 13) and b ≡ 9 (mod 13). Find the integer c such that 0...

A: The given problem is to find the modular values of c for the given conditions with given integers a ...

Q: Let X = {a, b, c, d} and Y = {x, Y, z, w} be two topological spaces with topologies Ti = {X,0, {a}, ...

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Q: n(n+1)(2n+1) 2. Prove the following using induction: 1+ 4+ 9+ · ..+n² 6

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Q: Find the volume of the figure below. 15 yd 12 yd 15 yd cubic yards

A: Here the base is a right angle triangle whose legs are 12 and 15 yards. The height of the base from ...

Q: Which transformation is used to obtain the graph of f(x)= -2X from grape of f(x) = 22?

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Q: WorldLight Company produces two lamp fixtures (products 1 and 2) that require metal parts and electr...

A: We need to formulate a linear programing of two variable after deciding decision variable , Solve it...

Q: z eaz dz 1 Evaluate 2ni is a real constant. where C : |2| = 2 described once in the anticlockwise di...

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Q: Consider the population of fish in a lake, and that people commonly fish in this lake. At a given le...

A: The differential equation given is as follows: dydt=r1-yKy-Ey..........................................

Q: Factor 12u - 20. Write your answer as a product with a whole number greater than 1. (0)

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Q: 1. Let z and w be complex numbers. (a) Show that |1+ z w² + |z – w2 = (1+|z|?)(1+ |w/?). (b) Show th...

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Q: for 0<<, Let f(a)- for 5SCR. ( Compute the Fourer cosine coeficients for f(e). dg 16 4/kp (-1k a sin...

A: Given f(x)=0for  0&lt;x&lt;58-xfor  5⩽x&lt;8 To find :- (a)Fourier cosine coefficient for f(x) (i)a...

Q: Convert 24.0 square inches to square centimeters. O 61.0 square centimeters O 154.8 square centimete...

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Q: Find the two square roots of 4i. A v2+ v2i and v2- V2i B v2-v2i and -V2- V2i © v2- V2i and -v2 - v2i...

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Q: APRL In homework problem 17 in section 3.1 you showed that there are an infinite number of primes wh...

A: We will use basic knowledge of number theory to answer this question.

Q: On each slide, rotate (or turn) the figure 90 degrees. Write the ordered pair for the new image, Pla...

A: Any point in the Cartesian coordinate system is represented by the ordered pair x, y. If the point P...

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate meth...

A: given differential equation 3y'=6yx+3x3cos2yx          i with initial condition y2=0  

Q: Three masses are suspended vertically by a series of identical springs where mass 1 is at the top an...

A: From the given question, the forces acting on the first mass are F1=kx1 in the upward direction and ...

Q: dy - y = e*y? dx

A: Let us consider the given differential equation dydx+P(x)y=Q(x) To solve the differential equation  ...

Q: Solve the following complex number: 1. 2+i/1-i = i(x+iy), x=? ; y=? 2. (2+i)(3-2i) = a+ib, a=?; b=...

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Q: Use Euler's Method with a step size At = 0.1 to estimate y(0.5) given that (x(0), y(0))= (1,1) and d...

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Q: Use the assumed Babylonian square root algorithm of the text to approximate 21. Begin with the value...

A: We use basic knowledge of numerical analysis, in particular, the Babylonian square root method to an...

Q: Prove that the sum of two negative definite matrices A and B is negative definite (A+B) meaning that...

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Q: a. Then U \ V)U (V \U) C (U U V) \ (UnV) b. Then UC n V° = (U n V)° (U x V) \ W = (U \ W) × (V \ W) ...

A: According our guidelines I have solved first three subparts.so kindly request you to repost the rema...

Q: 8. Let f be an entire function such that f(z)| < A + B|z|" for all z E C, where A and B are positive...

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Q: Every day, Kim empties the change out of her pockets and stores it in a

A: Given,        Min. = 35,  Q1=75, Med. = 90,  Q3=95, Max. = 105

Q: A committee has 20 people. In how many ways can a President, Vice-President, and Secretary be chosen...

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Q: | f(t)f(t – t)dr = 6t³ 0,

A: According to the definition of Laplace transform Lf(t)=∫0∞e-stf(t)dt. If F(s) is the Laplace transfo...

Q: Use a direct proof. Let "a", "b", and "c" be integers, where "a" is not equal to 0. “if a|b and b|c,...

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Q: QUESTION 5 Find all the elements of order 12 in Z48000 -

A: Number of elements of [m] in Zn is phi(m)

Q: In Exercises 12–17, find the eigenvalues and the eigen- vectors for the given matrix. Is the matrix ...

A: Given matrix 121012001 we have to find eignvalue and eigenvector 

Q: Find the derivative by the definition of each of the following functions: - + 2x

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Q: 2+j 1. = j(x +jy) x =? y =? 1-J

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as...

Q: answer part 2 only

A: We will use basic knowledge of Boolean algebra and logic to answer this question.   Since you have e...

Q: Prove that if a is a positive integer, then 4 does not divide a2 + 5.

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Q: Problem: in the polynomial (x+1)³ (x+2)³ (x+3)®, let a, be the coefficient of x*. Find the sum of a,...

A: To find- In the polynomial x + 13x + 23x + 33, let ak be the coefficient of xk. Find the sum of a2 +...

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not ...

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Q: Apply the secant method to solve ƒ(x) = e*² In x² – x = 0. Discuss the procedure for dealing with mo...

A: We are given the following function. f(x)=ex2lnx2-x=0 We have to solve by the secant method. Note th...

Q: 27. Find examples of (2 × 2) matrices A and B such that det (A + B) + det(A) + det(B).

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Q: Solve (4xy + 3y2 – x)dx + x(x + 2y)dy = 0 with y(2)=2 . Solve (x²D? + xD – 1)y 1+x2 Obtain f(r) as a...

A: According to our guidelines we can answer only one question and rest can be reposted.