Find the inverse transform of the given functions: 3s2+5s+5 1. F(s) = (s3+8s2+19s+12)(s³)

Q: Which of the following is a three-point geometry? 3.1

A: To find which of the given figure is three point geometry .

Q: Find div F and curl F if F(r, y, z) = 10e i- 2 cos yj+ sin2 zk. %3D

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Q: Describe the graph of the equation. r = -8i+ (1 – t² )j +t k O It is a parabola in the plane x = -8,…

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Q: To evaluate the exact value of f(x) = (4x5 + 7x-9)(x8- 3)2), how many terms of the Taylor series…

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Q: B. Draw the graph, identify the region, and sketch the representative rectangle. Label the graph…

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Q: f) Every continuous map T² RP2 is homotopic to the constant map.

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Q: 60. Radial fields and spheres Consider the radial field F = r/|r|, (x, y, z) and p is a real number.…

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Q: Which of the following is NOT true about triangles? The longest side of any given triangle is called…

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Q: +2x (D³ – 4D’D'+ 5DD" - 2D") z=e** + Vy +x.

A: Given PDE is D3-4D2D'+5DD'2-2D'3z=ey+2x+y+x We can write it as D-D'2D-2D'z=ey+2x+y+x             (1)…

Q: 6. Interval, - TT <x < TT; function, f(x) = 0, = x2 - TT<x<T 0 <x< TT

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Q: Evaluate the following limit: sin(2z) lim (3x + 1) z2 To help you read the problem, the fraction in…

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Q: Question 1 of 30 Evaluate log i^3 to base i. Select the correct response: O 0.45+0.26i O 3 3i O…

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Q: Please solve following wave equation on [-1,1] utt(x,t) = uxx(x,t) u(−1,t) = 0 u(1,t) = 0 u(x,0) =…

A: Given wave equation is utt(x,t)=uxx(x,t)           (1) with condition…

Q: A car agency has 250 cars. The owner finds that for a price of $36 per day, he can rent all the…

A: It is given that for every $1.50 increase, the demand is decrease by 3 cars.

Q: Estimate the value of e0.34 by evaluating the sixth partial sum of the Maclaurin expansion for e“ at…

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Q: Name: Section: i+ (4t - 3)k E = sint i tcost K 3. %3D

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Q: What is the closest prime p following 123456 that satisfies p=3 (mod 4)

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

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Q: Question 2: Divergence and Curl For each diagram below, label the diagram indicating with which…

A: To Sketch: (a) A vector field with a non-zero curl, but with zero divergence. (b) A vector field…

Q: Let Gbe an open set in R". Two points x, Y e G are said to be equivalent if they can be joined by a…

A: Since every open subset of Rn can be written of countable union of disjoint open balls and each ball…

Q: Find the centroid of the region. NOTE: Enter the exact answers. (¤, g) = |(?, ?) y = 28 1

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Q: Activity. Determine whether the following compound statements is logically equivalent using the…

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Q: d Calculate ri(t)· r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly and…

A: Find the derivatives of the given vectors :-

Q: Min 2こ d 2 t0125 + 3 X2 X + X 2 X, i XZ

A: Min Z =   2 x1 + 3 x2 subject to   0.5 x1 + 0.25 x2 ≤ 4     x1 + 3 x2 ≥ 36     x1 +…

Q: 2s2+10s F(s) (s + 1) s2-2s+5

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Q: 1. Calculate the integral of f(x, y, z) = e² over the portion of the plane x + 2y + 2z = 3 where x,…

A: Evaluation of of triple integrals of the function over the plane

Q: Express the iterated integral as an equivalent integral with the order of integration reversed. 20…

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Q: in rectangu -6

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Q: . Prove that (i) . =1, and (ii) ||, =\n (I is the Identity Matrix of order n).

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Q: A: Find the solution of the following differential equation by Laplace transform with initial…

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Q: Exercise 5.3.2. Compute the order of each of the following elements in their respective groups. (1)…

A: Using the definition of the various groups given in the question we solve this problem. The detailed…

Q: Topic: Areas of Plane Regions and Areas of Regions Between Two Curves Problem: Sketch the figure…

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Q: Solve the following wave equation on [−1,1] utt(x,t) = uxx(x,t), u(−1,t) = 0. u(1,t) = 0, u(x,0) =…

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Q: Which of the following polygons has the greatest measure of exterior angle at a given vertex?…

A: Solution: Hexagon: The number of sides of a hexagon is, n=6.                  From the sum of the…

Q: (6. the map riF →F{XJ/(F) defined by a 下() = X+ SF> = [x] is am %3D ePimor Phism

A: We have to prove that the mapping,  π : F → Fx/F  defined by  πx = x + F is an epimorphism.

Q: 3. Prove that (i) /, =1, and (ii) ||, =Vn (I is the Identity Matrix of order n).

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Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: To Evaluate: Area of the region bounded by the curves: (a) y=x3, y=x3 (b) y=|x|-2, and the x-axis.…

Q: What is the jth root of j? Select the correct response: O -1.24 O -j0.45 O 0.21 O 4.8

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Q: There are 15 coins in a jar, 7 of them are gold and the others silver. 5 coins are randomly drawn.…

A: There are 15 coins in a jar, 7 of them are gold and the others silver. 5 coins are randomly drawn.…

Q: ind the area inside the circle r = cos 0, but outside the circle r =| = 1/2. Sketch the graphs…

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Q: Integrate f(x, y, z) = 4xz over the region in the first octant (x, y, z > 0) above the parabolic…

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Q: V4-y² c8-x²-y² z?dzdxdy. Use cylindrical or spherical coordinates to evaluate the integral. J.J. A…

A: In cylindrical coordinates  x=r cosθy=r sin θz=zalsox2+y2=r2dzdxdy=r dzdrdθ

Q: andy wants to buy a car that costs $28,750. The dealership will finance the car for 4 years, at…

A: To calculate the down payment of the car.

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Q: Ifan is an even number, show that a2 = 0 (mod 4), and if an is an odd number, show that a2 1 (mod…

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Q: Find the volume of the solid bounded by the surfaces f(x,y) = 4x2 + 4y?, z = 0 and 2x2 +2y2 = 4.…

A: Here we can use polar coordinates to find the volume. Formula for volume using polar coordinates is…

Q: Problem 11. A sphere, centered at the origin, has radius 5. Find integrals that compute its volume,…

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Q: Find the Laplace transform of: 1. f(t) = e(3t-7) cos³(6t)

A: It is known that cos3x=14cos3x+3cosx. Using the properties of the Laplace transformation, it can be…

Q: Can anyone help with the following recurrence relation? Struggling to solve the non-homogenous part?…

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Q: Q4: Find the solution of the simultaneous equations by Laplace transform with initial condition y(0)…

A: Here we can use the following formula for Laplace transform of derivatives of a function,…