Find the inverse Laplace transform f(t) of given F(s) and evaluate the f (t= round your answer to 3 decimal places. 25 F(s) = $³ (s²+45+5)

Q: Find 2= equation for the paraboit ż=== 3- (x²+y³) & in cylindrical coording equation[ an

A: To Write: The parabolic equation z=3-x2+y2 in cylindrical coordinates.

Q: 1. Find the third Taylor polynomial for ƒ(x)=√x+1 about x = 0. According to the third Taylor…

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Q: Let f: RR be a uniformly continuous function. For n N, define a function fR → R by fn(x) = f (x +…

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Q: 6. Let V = R³,U = {(x, y, z) : x + 2y = 32} and W = ((1, 2, 3), (3, 2, 1)). Find U+W and UnW .Is the…

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Q: 8. (p f(A) ≤ f(B), then ACB. Let f: XY. Prove that for all A, B C X, if f is one-to-one and

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Q: Calculate line integral A (−9, 6, −9) to (–9, 8, 3). F. dr of conservative vector field F(x, y, z) =…

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Q: Consider the heat conduction in a metal rod 30 cm long, insulated on its lateral side as well as its…

A: The given problem is to find the temperature distribution by find the solution for the given partial…

Q: 1. Find the first four nonzero terms in the MacLaurin series for the function f(x) = e-² DA. 1 + x²…

A: We use MacLaurin Series of ex and substitute x=(-x2) in MacLaurin series of ex.

Q: 3- dy --3y=e" ode is given. Which following one is WRONG for this differantial equation and its…

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Q: 3. Supply the missing integrand and limits of integration. [9/2 (a) * 6x³y ·L. /2 (b) f₁" ["² 62²y…

A: Given , (a).   ∫15∫2y2 6x2y dx dy  = ∫  dy (b).    ∫15∫2x26x2y dydx =∫ dx now we solve the given…

Q: Given f(x)=2x - 8 Find ¹(f(4)).

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Q: an = 2n dn= (n)² २

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Q: A large tank is filled to capacity with 700 gallons of pure water. Brine containing 4 pounds of salt…

A: Given, Capacity of tank is 700 gallons of pure water.  Inflow rate of water into tank =  7 gal/min.…

Q: m 5.3. Let a be an odd integer. If a 3 we have (29) 1.09)

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Q: Suppose f(z) is analytic. Can g(z)=f(z) be analytic? Discuss and defend your answer with sound…

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Q: Find the center mass of the solid bounded by planes x+y+z= 1, x = 0, y = 0, and z = 0, assuming a…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Xo=0 X1= 2 X₂= 5 X3 = 4 f(x)= 1 f(x₁) = 7.3890561 f(x₂)=148.413 f(x3)= 54.59815 If the value of e^3…

A: x 0 2 5 4 fx 1 7.3890561 148.413 54.59815

Q: suppose San and Ση are series with positive terms and bn is known to be divergent. n (a) If an> bn…

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Q: please answer asap! UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY WITH FIGURES.…

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Q: Solve the following Systems of Non-Linear Equations. Using the following methods: 1. Gauss-Seidel…

A: Note: “Since you have posted multiple questions, we will provide the solution only to the first…

Q: Theorem 4.17. Let m, n be two odd positive integers such that (m, n) = 1. Then we have (²) (²) =…

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Q: Let f(x) = cos(2), x=(0,x). (a) Find the Fourier COSINE series of f(x). (b) Use the convergence to…

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Q: Lisa deposited $4000 into an account with a 9% annual interest rate, compounded monthly. Assuming…

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Q: Find the area under the curve of the function method. AN dx by Simpson's -1

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+...+yn-1)+2(y2+y4+...+yn-2)+yn), where h=b-aN and N is the…

Q: Let Q = (0, ∞) x (0, ∞) be the (open) first quadrant of R2 and define a map : Q→ Q by o(u, v) = (1,…

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Q: Let C be the circle centered at the origin with radius 1 oriented clockwise, and let F(x, y) = ( −6x…

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Q: 3 Prove that bim li a) b) lin (√√m² + +1 M-) D (√√√²+1 -√₂)=0 nti M-) D 2 ·m) = a -

A: By rationalisation

Q: A diver is standing on a platform 28 feet above a pool. Their jump to the pool can be represented by…

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Q: Determine the particular solution of y" + 4y' + 20y = 0; y(0) = 3; y'(0) = 1.

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Q: Use the inner product (f. g) = [ f(x)g(x) dx in the vector space Cº[0, 1] of continuous functions on…

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Q: f(t)=sin(t), t², 0≤t≤n π ≤ t < 2π t≥ 2π

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Q: Let C be the circle centered at the origin with radius 4 oriented clockwise, and let F(x, y) = (2x +…

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Q: Use the Bisection method to find how many steps are necessary in order to approximate a solution z+…

A: To find the number of terms to get desire accuracy in Bisection method for the given function.

Q: 1. Consider the equation E given by z² = x - 3. a. Sketch the graph of E as a cylinder in R³. b.…

A: The given curve is z2=x-3 (a) To Sketch: the graph of the given curve. (b) To Find: Equation of the…

Q: Suppose the first and last columns of a 3 by 5 matrix are the same (not zero). Then __ is a free…

A: Given : A matrix of size 3×5 where first and last column are same. Then _?__ is a free variable.…

Q: -E (B₁ Cos 2t + B₂ Sinat) é e fit) = 122+ (B₁ Cos 2t +

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Q: -4 Given f(x)=x+2 Find ¹(3). Write your answer as a whole number or as a fraction. F-¹(3)=

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Q: math induction

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Q: 5. Determine the volume of a solid revolution by rotating the area bounded by the parabola (y-2)² =…

A: The volume of the solid formed by revolving the region bounded by the curve y=fx and the x-axis…

Q: 4. Can you find constants Cn such that the functions In(x, y) = Cn [1 + n² (x² + y²)]¯¹ converge to…

A: As per the question we are given a 2d functional sequence gn(x,y) defined as : gn(x,y) = cn [1 +…

Q: Consider the matrix A = I – X(X'X)-¹X'. Prove that A. A = A. What restrictions need to be imposed on…

A: This is a question of Linear Transformation.

Q: Question 9 A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to…

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Q: 1. What is the working equation for a series RLC circuit which has a resistance of 40 , a…

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Q: K Use the flux form of Green's Theorem to evaluate (axy+ay³) dA, where R is the triangle with…

A: We find required value of integral.

Q: Find the principal value of the complex power: zº where z=1+i, a=1+i and B=1+i.

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Q: Consider the series Determine whether the series converges, and if it converges, determine its…

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Q: 1. Consider the vector-valued function R(t) = t² - 3t+2 t² +t-6 Find dom R and lim R(t), if this…

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Q: 3. Determine whether the follow series converge or diverge. If it converges, find its sum. a)…

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Q: 1. Solve the following differential equations using variation of parameters. If no solution is given…

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