Find the Laplace transform of f(t)={0, t<3      ={t2−6t+13, t≥3 F(s)

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Q: For the given vectors V₁ and V₂, determine V₁ + V₂, V₁ + V₂, V₁-V2, V₁ V2, V₁ V₂. Consider the…

A: V1=11  V2=13

Q: Given that F1 (s) = and F2(s) = , find the inverse Laplace transform of F(s) = F1(s) × F2(s). %3D O…

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Q: using X₁+ X₂+4X₁-9 8X₁-3X₂+2X₁ 20 4X1+11X₂-X₁-33, Assuming x(0) = x= x=0

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A: Linear differential equation order is = 4

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A: Equations - x=2x'-3y' y=x'-y'

Q: a.) Solve the by Gauss elimination. Show all steps of the computation b.) Substitute your results…

A: Rewrite the eqn and apply transformation

Q: COPY THE GIVEN TRUSS AND SOLVE FOR THE MEMBER FORCES AB, AC, BC, BD, BE, BF, CF. DE, EF

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Q: Find the equation of motion in each of the following. 17. v = 21, and s = 1 when t 0. %3D

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Q: If x0 . determine the sign ofreal number a=xy b= x-y

A: Given: x&lt;0 and x is considered to be negative y&gt;0 and y is considered to be positive

Q: 3. Consider the function f(x) fx (x) = k-(x+2)/2_1<x< 3 O otherwise Which is being used as a…

A: We knowPx(x)=∫-∞∞f(x)dx=1so,f(x)=k-(x+2)2Px(x)=∫-∞1f(x)dx+∫13f(x)dx+∫3∞f(x)dx=1∫13f(x)dx=1

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Q: 2. Find the centroid of the figure shown. y 20 in 18 in 10 in 12 in X

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Q: 1. ((x) = x' + 10

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: Situation 6. If the resultant force acting on the bracket is directed along the positive x axis,…

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Q: Q2\ Find a general solution of each of the following differential equations : ух 1. z dy = 9-4y2dx…

A: Consider the equation yx9x-x2dy=9-4x2dx Simplify the equation y9-4y2=9x-x2xdx

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Q: 0, elsewhere.

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Q: х-1 f : y=- if x<3 2x+1 if 3<x

A: Here function is right hand continuous

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Q: For the frame problem shown in the following figure, a-Determine the load vector {q2} in the global…

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Q: Find the Laplace Transform of the elementary function: a.    f(t) = 7e2t

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Q: Determine the location in inches of the centroid of the gray section below with respect to the…

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Q: Find for f'(x) f(x) = e* – sin(rtx/3) f(x) = x – 2x – 2x +1

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Q: What is the area of the below figure if you know d=20.3? (use trapezoidal rule) Answer: 32 28 24 26

A: By trapezoidal rule:-

Q: ol a) find the domain and range of three function bellow: 1) y =-2+V1-x 2) y = In(x-3) +1 3) y = 2…

A: part 1y=-2+1-xdomain x≥5and range is any real numberpart 2domain The domain is x&gt;3. The range is…

Q: For the given vectors V₁ and V₂, determine V₁ + V₂, V₁ + V₂,\ Assume V₁ = 11, V₂ = 13, a = 4, b =…

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Graphical Methods

The graphical method is a method of solving equations involving more than one variable using the Cartesian coordinate system. In civil engineering, the use of the graphical method is limited to the problems involving two variables. The graphical method has a great impact in solving the questions regarding engineering mechanics.