Evaluate using Laplace Transform: tcos 3t dt e-4t f(t) =

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: Find the Laplace transform of the following: 1. f(t) = e-2t+5) sin³(8t) 3

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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: A professor has 15 books. They wish to distribute 4 books each to their 3 favorite students (so 12…

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Q: Evaluate (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (5, -5)

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Q: 3. Find the polar coordinates of all points on the cardioidsr=1- sine, at which there is a…

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Q: Determine the veotor fald of. a, y) - 41 - 2 1.

A: To determine the vector field F .

Q: Let w = x? dx + y? z² dydz. Find dw.

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Q: Choose two figures which are topologically equivalent to each other L 20

A: See answer below

Q: Evaluate the triple integral. /I | ry sin(yz) dV, where G is the rectangular box defined by the…

A: We need to evaluate ∫∫∫Gxy sinyz dV 0≤x≤π  , 0≤y≤9,  0≤z≤π54 So, we need to find ∫09∫0π54∫0πxy sinyz…

Q: 1 A tank contains 280 gallons of water and 10 oz of salt. Water containing a salt concentration of…

A: 1st we will formed the differential equation and then solve it to get expression for amount of salt…

Q: Use the Egyptian's formula to calculate the area of a circle with diameter of 8 units. (roundoff…

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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: 3. Write down the name of the conic given by the polar curve r = 6/ (2 - sine). Determine the…

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Q: To improve her handwriting, Hope practices writing the numbers from 1 to 200. How many times will…

A: Polya's Technique has 4 steps:- 1. understanding the problem 2. Devise a plan 3. Carry out the plan…

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

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Q: Using the method of cylindrical shells, set up but do not evaluate an integral for the volume of the…

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Q: - TT < x < TT; function, f(x) = cos(x/2)

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Q: Let C2 be the curve defined by R(t) = (t² + t + 3, 4t – 5,2 +t – t²), t e [0, 1]. Evaluate | (x + y+…

A: The solution is given as

Q: Find: 1 s³ – a 23.

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Q: Problem 5. Let C be the square oriented counterclockwise with corners (0,0).(7,0).(7,7), and (0,7).…

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Q: Solve a following ordinary differential equation y'' + 2y  = sec(x)   PLEASE!!!

A: Given differential equation is y''+2y=secx. We have to solve the given differential equation. Write…

Q: Choose two figures which are topologically equivalent to each other

A: Since first two figure are bounded and connected but not others. So they are topologically…

Q: 5s+3 6s 8 F(s) - (5s2+4s+1) s2+7 9.

A: The laplace transform formulas for e^(at)cos(bt) and e^(at)sin(bt) will be used in solving this…

Q: Solve (D4 + 2D² + 1)y x cosx +3*

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Q: Two squares each with 12cm sides overlapped each other such that the overlapping area is a regular…

A: Solution :-

Q: Which line passing through G is parallel to line IEC? A 34 O CGJ BGH AIG EFG

A: To find which line passes through G is parallel to IEC .

Q: Consider the box shown below, where 0 <¤< 2,0< y< 1, and 0< z<1. The rectangular prism is subjected…

A: Given E=-2x2yi^-2xy2j^+2xy2zk^ where 0≤x≤2, 0≤y≤1, 0≤z≤1

Q: Using Eigenvalues and Eigen Veetors s&ve Cthe System: ☆G) = ax+4y y'G) = -3y A= -3 ゴ

A: Solution of system of differential equations using eigen values and eigen vectors

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 4 cos(t)i +5 sin(t)j+…

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Q: ASAP PLEASE I ONLY HAVE 30 MINS A quadrilateral having an area of 15.99 square meter is inscribed in…

A: Given,Area of a cyclic quadrilateral, A=15.99 square meterLet the sides be a,b,c, and d…

Q: 1. Sket dh the graph of the cylinder r (y-2)2 in R*. %3D

A: Solution  The equation x = (y-2)2 represents an equation of parabola in two dimension. 1) Here (0,2)…

Q: Find the centroid of the region. NOTE: Enter the exact answers. (a, 9) =| (?, ?) %3D y = x7 1

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Q: 1. Determine whether the series 2 is convergent or divergent. If it's n=1 e"+1 convergent, find its…

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Q: Which of the following is four-point geometry? 3. ok ms

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Q: Give an example of a function f : (X1, d1) → (X2, d2) that sends compact sets to compact sets, but…

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Q: (1+4x² )y"-8y = 0

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Q: Proof that L (cos²t – sin?t) = s2 + 36

A: Note that. Right hand side should be s/(s^2+4).

Q: Use the Egyptian's formula to calculate the surface area of a sphere with diameter of 30 units.…

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Q: -3)K

A: Here we use vector differentiation

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

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Q: Find the Laplace transform of: 1. f(t) = e(-4t)[sin(2t) – cos(2t)]² 2. f(t) = V1+ sin t + (6t)13 +…

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Q: Consider the following. -10 36 A = P = -1 -3 11 (a) Verify that A is diagonalizable by computing…

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Q: Solve a following ordinary differential equation y'' + 2y  = sec(x)   PLEASE!!!

A: Consider the given differential equation y''+2y=secx. We have to find the general solution of the…

Q: Let R be the region bounded by the curves y = 10 − x^2 and y = x^2 − 8x. Set up, but do not…

A: Introduction: The shell method is a method for calculating the volumes of solids with revolutions.…

Q: Consider the following nonhomogeneous system. dx dy - 5x + 9y + 5, dt = -x+ 11y + 15 dt Find the…

A: To find: General solution of the system of Non-homogeneous differential equation: dxdt=5x+9y+5,…

Q: Question 5 2 4-y² cV8-x2-y? Use cylindrical or spherical coordinates to evaluate the integral. J.J.…

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Q: Determine the volume of the solid obtained by rotating the region bounded by y=x^2-4x+5,x=4 , and…

A: volume of the solid of revolution about x axis of a curve y=fx, from x = a to x = b is given by…

Q: Solve the following non-homogeneous heat equation ut(x,t) = uxx(x,t) −x, u(0,t) = 0, u(1,t) = 0,…

A: Given,ut=uxx(x,t)-xu(0,t)=0u(1,t)=0u(x,0)=2To find: Solution of given non-homogeneous heat equation

Q: 3. f(x) = 2 -X ез es* – x² – 1 (xi = 5) ||

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