Find each transform: £{t sinh(2t)} a. b. L{f(t)}, where f(t) is the periodic function given in the diagram: f(t) W s

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Q: Give your answer as a percentage, accurate to three decimal places. Over the first five years your…

A: Over the first five years your investment has the following yearly rates of return: 3% -7% 4% -5%…

Q: Prove that every hamiltonian graph contains no cut-vertex.

A: We have to prove that, if a graph is Hamiltonian then it does not contain a cut vertex.

Q: For the following function, find the Fourier series: f(x) = 2-x² 0≤x≤1 X 1≤x≤2

A: the function f(x)=2-x20≤x≤1x1≤x≤2 To find the Fourier series.

Q: 3. Find the root by using Newton-Raphson method and use initial value Xo= 1.7500. where f(x) = 1/x…

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Q: 3. Solve the following differential equation using undetermined coefficients: y" + 3y' + y = t² + 2

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Q: A tree service is to fell a tree. A rope is attached to the top of the tree to determine the…

A: The rope meets the top of a 6 ft tall light pole that is 24 ft away from there .

Q: Solve the initial value problem below for the Cauchy-Euler equation. ty"(t)- 10ty' (t) + 30y(t) = 0;…

A: A Cauchy Euler Equation is of the form : ax2y"+bxy'+cy=g(x) It can be solved by writing auxiliary…

Q: Use the table of Laplace transforms to find the inverse Laplace transform of 1 s(s² + 1) f(t) F(s) =

A: F(s) = 1/s(s2+1)  We have to find inverse Laplace transform of F(s)

Q: In Exercises 15-18, find a basis for the space spanned by the given vectors, V₁,..., V5. 15. -3 2 2…

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Q: In problems 5-8, below let 7 be the discrete vector field given by (2,0)-(1,1), (0,2)-(2,1),…

A: To solve these problems, we'll use the formulas for flux and circulation: Flux: ∬RF·n,dA…

Q: Exercise 4. Decide if the following sentences hold in the structure of natural numbers N, the…

A: (1)  Given statement is  ∀x ∀y  x+y=x → y=0     Answer :      x + y = x  → y = 0 Here the sentence…

Q: Given the initial value problem: 4y" + 4y' + 17y = 0, a. Find the solution to this IVP. b. Sketch a…

A: The given initial value problem 4y''+4y'+17y=0, y0=-1, y'0=2. We have to find the solution to the…

Q: Find the Laplace transform of the following piecewise function using the second shifting theorem:…

A: ft=t, 0≤t≤2t-2, t≥2 We have to find Laplace transform. “Since you have asked multiple questions, we…

Q: Determine the form of a particular solution for the differential equation. Do not solve. 7t y" -…

A: First we calculate the homogenious solution. While writing particular solution, we check whether…

Q: 14. Use the Laplace transform method to find the solution of the initial-value problem y" − 3y + 2y…

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Q: 1. In the following weighted voting system example, identify the quota and the weights. [115: 25,…

A: As per guidelines,we supposed to solve first question only.

Q: An ice cream container is 20 cm long, 10 cm wide and 6 cm high. How many liters of ice cream can it…

A: The volume V of a cuboid is given by the formula   V=l×w×h where l is length, w is the width and h…

Q: Find a non-zero vector in Nul A and a non-zero vector in Col A for the following matrix: 12 3 4 5 7…

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Q: Find the solution of the initial value problem: y (4) -6y +9y"=0 [y(0) = -2, y' (0) = -3, y" (0) =…

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Q: Use compositions to show that f(x)=7^(x) and g(x)=log_(7)x are inverses of each other.

A: Two functions f & g are inverses to each other by composition is (f∘g)(x)=x and (g∘f)(x)=x Here…

Q: Find the economic profit for this scenario.     Principal: $2,000     Rate: 6% compounded monthly…

A: Compound interest formula A=P1+rnnt where P is principal amount, r is rate of interest, n is number…

Q: Let 1: R²->R², g: R²->R², h: R²->R³, and X: R³->R², as follows: x²-y² 0-0-0-0- x²+y² x-y² x+2y+3z…

A: Let the us considered two multivariate several variables functions:

Q: The total price of the bike part is $78.88, which includes 7% tax and a 24% discount. What is the…

A: Total price of bike part=$78.88 Which including 7% tax and 24% discount. let sticker price of part…

Q: Give your answer as a rate, accurate to five decimal places. What gain would offset a 24% loss?

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Q: 2. Given that w(x) = ex-11lnx +340x5 7x3-32ex + 5lnx steps that can be applied when differentiating…

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Q: 2.1 Given complex constants a, b with a 0 the map T(z) = az + b is called a general linear…

A: Since you have posted multiple questions... according to company rule we are supposed to provide…

Q: Find the volume of the region bounded above by the plane f(x,y) = 2x + 4y +7 and below by the…

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Q: Find the economic profit for this scenario.     Principal: $5,000     Rate: 6% compounded…

A: To find the economic profit, we need to calculate the present value of the future cash flows and…

Q: Use Stokes' theorem to evaluate (V x F) - dS where F(x, y, z) = −Syzi+ 5xzj + 12(x² + y²)zk and S is…

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Q: A firm has two stores and two warehouses. The transportation costs from warehouse 1 is $18 to store…

A: Store 1 Store 2 Supply Ware house 1 18 9 45 Ware house 2 24 15 40 Demand 25 30

Q: 0 and then show that is an eigenvalue of A ¹. Solution. Let A be an invertible matrix with…

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Q: b) By using direct comparison test (DCT) determine convergence or divergence of the following…

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Q: 5) Using the definition of the contour integral compute the integral of f(2)= 1+ i-2 Z from Zo =0 to…

A: Given       fz = 1 + i - 2 z            where    z = x + iy    ⇒    z = x - iy…

Q: Find a unit vector in the direction in which f(x, y, z) = 3x³z² + 3y³z +24z - 3 increases most…

A: The given problem is to find the unit vector in the direction in which the given function increases…

Q: 2. Find g € R[x]<2 so that R[x]≤2. ſ₁² f(x)g(x)dx = S² ƒ(x) cos(πx)dx for all ƒ €

A: 2. We need to find g∈ℝ[x]≤2 which is basically a polynomial over real field (coefficients are taken…

Q: For the function f(x)=log_((1)/(3))(x)+3, determine whether the function is increasing or…

A: The given function fx=log13x+3. We have determine whether the function is increasing or decreasing.

Q: 1. Find the equation of a) a circle with center (2,-3) and passes through the point (5,-1). b) the…

A: a) Here given that center of circle is (2,-3). Since circle passes through the point (5,-1). So,…

Q: Suppose that Steph Curry's cumulative free throw percentage, one month into the NBA season, is…

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Q: A professor conducted an experiment to find the relationship between time and memory. The professor…

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Q: GIVEN: $=$(xi) is a scalar field Aij is constant, symmetric, SECOND ORDER TENSOR P-1 ixj Aij…

A: Linear algebra

Q: Find the inverse Laplace transform, ƒ(t) of the function F(s) f(t) = ,t> 0 + + S-4

A: Solution :  We  have  recall  some  basic formula  of Laplace  transform   to  Solve this  problem…

Q: Directions: Find the exact vo 1. cos(arccos(4)/(5))

A: The given expression cosarccos45. To find the value of the expression.

Q: for n = 7007 evaluate lower omege (n) and big omege (n)

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Q: Using the definition of the contour integral compute the integral of f(z) = 1+ i-2 Z from Zo =0 to…

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Q: Use variation of parameters to find a general solution to the differential equation given that the…

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Q: Using contour integrals to compute the following integrals 1² (a) √° (2²4) dx, (b) 1 f √²+2+2dx, (c)…

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Q: Express the volume of the part of the ball p < 4 that lies between the cones π/6 and π/4. NOTE: When…

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Q: IP IE Express the vector + =[] y as a linear combination of = [2] -[1] and y=

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