1. Use the tables to find the z transforms of the following m. cos(n+/2) www n. (-2) o. -(2)

Q: Q1) Solve the BVP u₁ = Uxx + sin 2x, u(0,t) = 0, u(π, t) = 0 u(x,0) = 0 00

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Q: Let a, b, and c be any three nonzero complex numbers. If |z| = 1 and 'z' satisfies the equation az +…

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Q: A cylindrical container has a volume of 150 cubic inches. The radius r of the container can be found…

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Q: 3.- Check that each given function is the solution to the initial value problem. y(0) = 1, y'(0) =…

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Q: Let a, b, and c be real numbers such that a + 2b + c = 4. Find the maximum value of (ab + bc + ca).

A: Given that a,b,c∈ℝ such that a+2b+c=4            (1) we have to find the maximum value of  ab+bc+ca…

Q: Prove that n!+1 and (n+1)!+1 integer n. relatively prime for every positive

A: Given, n!+1 and n+1!+1are two numbers and to prove that they are relatively prime.

Q: Q2) Solve the BVP utt = Uxx ux(0,t) = 0 u(x,0) = 0,_ u₂(x,0) = f(x) = {100 0 0 01

A: We have to solve the given boundary value problem using the given boundary condition.

Q: Sketch the graph of the function y=f(x)=1-x with domain [-1, 1] and range [0, 1]. Find the domain…

A: What is Domain and Range of a Function: For a function depending upon a single independent variable,…

Q: Let f and g be differentiable functions such that f'(0) = 3 and g' (0) = 7. If h(x) = 3f(x) - 2g(x)…

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Q: Use the Intermediate Value Theorem to show that the following equation has at least one nonzero…

A: Given, sec2x=3x The equation has at least one nonzero solution. This is to be shown using the…

Q: triangles a.) (2, 1), (3, 5), (-2,-4) answer: b.) (-3,-1), (3,5), (2,6) c.) (6,2), (1,5), (4,4) -…

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Q: Prove that the distance sin 0₁ 2³ +|sin 0₂2² + greater than 2/3. of the roots of the equation sin…

A: To prove that the distance of the roots of the equation…

Q: In 2000, mobile handset sales totaled $414.99 million. In 2005, the total was $778.75 million. Let M…

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Q: Exercise 7. Let X be a set. We denote by B(X, K) the set of functions f : X → K such that ||f||∞ <…

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Q: Match the parametric equations with the verbal descriptions of the surfaces by putting the letter of…

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Q: Ex #2 Solve: -4x+122x-5, where x = R

A: What is Inequality: In mathematics, an inequality is a statement that holds true between two values.…

Q: Theorem of let f: (X₁, T₁) (X₁ste) be a homeomorphism and ACX₁ Then (A₁, ZA₁) = (F(A)), Z (A))

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Q: In Problem. apply the successive approximation formula to compute yn(x) for n 4. Then write the…

A: Given,         dydx=-2y, y(0)=4.

Q: 4) (x²D² + xD-1)y=16x³ y(1)=-1 y'(1)=1

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Q: A mass of 1 slug stretches a spring 2ft and comes to rest at equilibrium. The system is attached to…

A: Given: 1 slug mass stretches a spring 2ft and comes to rest at equlibrium. Damping force equal to 8…

Q: 3. Sole the following simultaneous ODE y₁ = y₁ + y₂ y₂ = 3y1 - y2 *

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Q: 2. Find the value of each variable a, b, c, d, e, and f using Cramer's rule. 2ab + 3c + 4d +9e + 8f…

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Q: Solve the Attachment?

A: What is System of Differential Equation: A set of finite differential equations is known as a system…

Q: 18. Given the polynomial irrational roots. f(x)=2x²-x²-5 . use linear interpolation to approximate…

A: Given: The polynomial is fx=2x3-x2-5. To find: The roots of the given polynomial.

Q: Double inequalities are a combination of two inequalities where a valid solution for x must satisfy…

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Q: a) Provide a rough sketch of y as a function of 7 with 720. What are the features on your graph?…

A: It creates family of curve of exponetially shifted function with C .

Q: CLEICE If (Y, Ty) is a subspace of (X, T). Then each open set in Y is open in X if I only if Y is…

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Q: The given graph is strongly connected. b True or False True False

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Q: Eliminate the arbitrary constant. y=Ax³+Bx³ (A B 7xy" - x²y + 15y = 0 D x²y '- 7xy" + 15y = 0 Cx²y"…

A: To find- Eliminate the arbitrary constant. y = Ax5 + Bx3

Q: 2. Given: cosh x==(e²+ e*), sinh x=(e-e), use these 1-1/1 definitions to show that cosh’x−sinh’x=1.

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Q: Q3. Let ABC be a triangle in the E.G.such that for some mR(ZBAC)=a,MR(ABC) = B positive real number…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Define/Explain what a Fact and a Truth is in terms of mathematics.

A: Lets briefly define what is the difference between fact and truth.

Q: If p(q=r) prove that x +q{r-p}x+p-q) = 0 has equal roots, ther 211 q = р

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Q: 21. (2xy + x²)dy + (2xy + y²) dx = 0 2. (3x² + 2xy) dx + (x²) dy = 0 A

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Q: 23. What is the value of lim h→0 (A) 0 (B) (C) (D) 1 1 32 1 (16+h)-2 h

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Q: 1. Use the tables to find the z transforms of the following g. e-2n cos3n h. ensin2n i. 4n

A: To find- Use the tables to find the z transforms of the following g. e-2ncos3n h. e4nsin2n i. 4n…

Q: Solve the following system by using Gauss-Seidel method when the initial value is X(0) = 0, & = 5 x…

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Q: 1) When using the Newton-Raphson method to solve the equation cos(ax) = x,this is done one of the…

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Q: n A pendulum moving in simple harmonic motion is modelled by the function s(t) = -5cos (), where s…

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Q: Solve the following linear equation by Cramer's rule:- x+y+z=3 x + 2y + 2z = 4 x + 4y +9z = 6

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Q: Create a radical equation with variables on both sides. Then solve the equation.  Write some…

A: Solving Radical Equations A radical equation is an equation in which a variable is under a…

Q: = A= putting A = (-1). 5 -2 -5 1 a= 3, 5 -2 -5 1 a b C d 3 5 7 d b= 5, C= 7, d=l -2 7 1 2 12 -3 d 1…

A: We need to determine the steps to transform the matrix: 53-21 -251-2 -57-39 1114 into the matrix:…

Q: Part C: A good estimate of the average household income in 2008 is.. Hint O $79,500 O $80,500 O…

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Q: If w and a are the nonreal cube roots of unity and [1/(a + c)] + [1/(b + c)] + [1/(c + a)] = 2a² and…

A: We will use value and relation of ω ω3=1 1+ω+ω2=1

Q: ایت (porve ere(o if : er f. = er f = 1/2 Set.dt

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Q: Solve the equation. The letters a, b, and c are constants. X= b+c b-c x+a x-a , c#0, a#0

A: b+cx+a=b-cx-a⇒(x-a)(b+c)=(x+a)(b-c)⇒bx+cx-ab-ac=bx-cx+ab-ac⇒2cx=2ab⇒cx-ab=0

Q: For the Attached problem use a calculator or computer system to calculate the eigenvalues and…

A: Given That :  The Matrix  A=139-14-52-1428-22578-7370-38-139-3876152-16-59-133595-10-38-723 To Find…

Q: ne Z and AABC be a right triangle with righ If sin A and sin B are the roots of the quadrati +8)x² -…

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Q: QUESTION THREE A. A company manufactures three goods, X; Y and Z, each of which is made from three…

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Q: Verify that u' (t – a) = 8(t – a) by solving the problem x' = 8(t – a); x (0) = 0 to obtain x (1) =…

A: What is Laplace Transformation: Laplace transformation is crucial for control system design. Laplace…