H.w: Find the LT of the following functions: 1- f(t) = sin³t 2- f(t) = (t² – 5t + 6)e2t 3- f (t) = cosh at cos at 4- f (t) = 3 + sin?t 5- f (t) = e2t-3 6- f (t) = sin 3t cos t

Q: Q3/ The value of k such that P2(1) = 2.8, 2 4 |0 1 2 Is

A: We can use the divided difference formula to find the value of k.

Q: 6. Find the area bounded by: a. The curve y=4x-x and the lines y=0, x=1 and x=3. b. The curve…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Suppose that T is a linear transformation such that 4 -32 T T 15 Write T as a matrix transformation.…

A:

Q: -5 4 -81 A = -1 1 a Define the linear transformation T : R³ → R² by T(7) = AF. Find the images of ü…

A:

Q: Find the length of the following curve at the given distance. Rie). cos'e ?a sin? t } Cos t i 2

A: Given curve is R→t=cos3ti^+sin3tj^ where 0≤t≤π2. We have to find the length of the given curve at…

Q: Derive Newton-Raphson iterative formula for computing the value of VM, where M is a positive real…

A: We have to derive the Newton-Raphson iterative formula for computing the value of M, where M is a…

Q: Consider the following region Rand the vector field F. a. Compute the two-dimensional curl of the…

A: To find- Consider the following region R and the vector field F. Compute the two-dimensional curl…

Q: What is 205 divided by 3 and also what is 400 divided by 6

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Q: You have a choice of two accounts in which to invest your money for one year. Account A pays 3.6%…

A:

Q: Suppose the function g is on the interval [a, b], and |g(x)|< B for all x E R. I) Prove that |g(x)?…

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

Q: Make sure that a) The set {vi, v3 with vi = (2,9) and v = (1, 1) iş a base of R2 b)The set {vi, v3,…

A: We have to check the following : a) The set v1, v2  with  v1 = (2, 9)  and  v2 = (1, 1) is a base of…

Q: A model for the height h (in feet) of a Ferris wheel car is h = 70 + 70 sin(4at), where t is the…

A: Given that   h=70 +70 sin(4(pi)t)

Q: Consider the function f(z,y) = kr - 2ry+y?. 1. Show that (0, 0) is a critical point of f(T, y). 2.…

A: This is a problem of multi-variable calculus.

Q: Given the set of data points {(-3, -1), (-2, 1), (0, 2), (1, 3), (3, 2)}, fit a straight line y = mx…

A:

Q: läi 5 You are required to make 350 g of a paste that contains 15% w/w zinc oxide. Which of the…

A:

Q: consider the polynomial f (x) = 7x4- (2 + 2x + 6x2 + 5x3) -8x5. In x = 0.7, use the approximation…

A: Given the polynomial fx=7x4-2+2x+6x2+5x3-8x5 and x=0.7 and ∆x=0.2

Q: Solve the matrix equation Ax = b, where 2 -361 A = and b = -1 16 The solution is: x2 = ||

A:

Q: 4. Solve the following system of simultaneous linear equations using the Gauss-Seidal method. b. 2r…

A: We have to find the solution to the given system of linear equations by using the Gauss-Seidel…

Q: C|80-85, 85-9o 39 90- 95 95- lo0, 100 - los 2子 15 3

A: Make a table as follows class interval frequency 80-85 6 85-90 39 90-95 27 95-100 15…

Q: H.W: find value of matrix A eigen -2 A = 2. 2. 3.

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Q: (4D4 - 4D3 - 3D2 - 2D + 1)y = 0

A: We have to solve the given equation.

Q: Q2/ Complete the following table to find the values a, b,c and s y A3 -1 2845 308 3162 S 1 3544 a 2…

A: The solution is given in the next step.

Q: 1. Solve the following linear congruence using a systematic method: 167x = 241 (mod 199) Present…

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Q: Q3/ The value of k such that P2 (1) = 2.8, 2 4 of 1 2 Is

A: Lagrange interpolating polynomial for n=2 is:…

Q: If v is an eigevector of T E L(V) with eigenvalue A, then v is an eigenvector for T – µld with…

A: From the given statements, we have to check whether it is true or false and we have to explain this.

Q: 2. Find Inverse Laplace transform for the following functions: s2 + 3 b) F(s) (s + 2)²(2s² – s – 1)

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Q: Problem (1): Let r, s E Q with s t2 .r for all t E Q and let E = Q[/r, V5). Prove that Gal(E/Q) =…

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Q: EXERCISES 3:Find the directions in which the functions increase and decrease most rapidly at Po,…

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Q: Use the definition of the Laplace transform, L{f (t)} = | e-st f (t) dt to find the Laplace…

A: The given problem is to find the Laplace transform of the given unit step function with using the…

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

A: We find parametric equations for the tangent line to the curve with the given parametric equations…

Q: Find the sum of the series (-1)*n2k 42k (2k)! k=0

A:

Q: In the 1930's LF. Richardson proposed that an arms race between two countries could be modeled by a…

A: given  dxdt=-0.45x+10.5dydt=8.2x-0.8y-142 (a) find the equilibrium points for equilibrium points put…

Q: x sin x dx x² + 9 2

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Q: Consider the function f(T,y)= kr - 2xy + y?. %3D 1. Show that (0, 0) is a critical point of f(T, y).…

A:

Q: Q2/ Complete the following table to find the values a , b,c and s y -1 2845 308 3162 S 1 3544 a b 2…

A:

Q: Compute the following product. -4 -6 8 [9 -7 -3 4 -4 3 4 -4 1 2 1 -2 9 1 7 || 4.

A: The given product is   9-7-31234-1-4-685-944-4-4121-2917 To find the above product we will use the…

Q: Suppose that T is a linear transformation such that T T Write T as a matrix transformation. For any…

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Q: & use series representation to dippprovimate the integral (Hint ! Sum the fiirst four terms of the…

A: This is the question of approximating the Integration, by the series expansion of the integrand. One…

Q: бп? + Зп = 3 2n2 – 5 Prove lim 6.

A: Limit of the fractional  value

Q: Q3) Use the Newton-Raphson method to find the root of f(x) = -0.5x *(4 – x) – 2 with initial guess…

A:

Q: Consider the function f(T,y)= kr - 2xy + y?. %3D 1. Show that (0, 0) is a critical point of f(T, y).…

A:

Q: s+1) (a) L-1 4s2 +1 (b) L-1 s4 + s] (e) E{/ c{[e cos(r) dr.

A:

Q: а), J: Find the length of the curve y=3/7 x, 0<x<3 Length= ]: Find the area of the surface b)…

A: Let us consider the function y=f(x)  The length of the curve in the interval [a, b] is obtained as…

Q: Find the canonical prime factorization of the following using Fermat's Method and solve for the…

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Q: Find the radius of convergence, R, of the series. Σ n2x 6 12 18· (6n) ... n = 1 Find the interval,…

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Q: 2. (MS) Consider the relation R5 on P({0,1,2,3}) such that (A, B) e Rz if and only if |A| = |B|.…

A: Since you have posted multiple questions and we can answer one question. So, answering the first…

Q: Let -2 -6 A = -9 9 4 -7 -9 -5 a Define the linear transformation T : R³ → R³ by T(#) = Aã. Find the…

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Q: Consider the function f(T,y)= kr - 2xy + y?. %3D 1. Show that (0, 0) is a critical point of f(T, y).…

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Q: Let S = {[" e Mzxzi a = d and b + c = 0} be a subspace of M2x2- Then the dimension of S is equal to:…

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Q: Use the compound interest formula to compute the total amount accumulated. $7,000 for 5 years at 2%…

A: