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

Q: Find the location of the centroid of the following shape: 90 mm 30 mm 70 mm X k 30 mm 30 mm y n…

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Q: 1. f(t) = sin(4t + 3

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

Q: Determine location of centroidal x and y and the moment of inertia Ix of the figure shown. Use the…

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Q: Determine the x. Measure it from the y-axis. 100 140 mm 140 mm

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Q: Translate the given problem into a second - degree polynomial in x using Lagrange interpolating…

A: Asked: To fit the given data into a second degree polynomial [P(x)] using Lagrange interpolating…

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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Q: Determine the magnitude of the vector sum V = V₁ + V₂ and the angle 0, which V makes with the…

A: Vector V1 and Vector V2 are given, of magnitudes 10 units and 12 units respectively.     To…

Q: + Compute for the unknown Line AB BC CD DE EA LINE AB BC CD DE EA Distance 300 400 250 350 277.96…

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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: b) f(t) = 2 sin 3t cos 3ª c) f(t) = sinh %3D 3

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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: Evaluate the Laplace transform of the following function. f(t) = 3sin2t - 4cos5t

A: Given:- f(t)=3sin2t-4cos5t To find:- Laplace transform

Q: using trapezoidal rule

A: Given: f(X)=x3+2  a=0 b=5 To find: Integrate f(x) with respect to x=0 to x=5 using Simpson's 1/3rd…

Q: 1. (D- +2D- 3)y = 0. 3. (D2 + D-6)y = 0. 5. (D +3D2 - 4D)y = 0. 7. (D³ +6D2 + 11D+6)y = 0.

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Q: Given the vectors M = and N = , find a) unit vector in the direction of -M + 2Ñ; b) magnitude of 5î…

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Q: Find ex, ey and y. NOTE: ex and ey in mm/mm and y in radians

A: Strain in x and y directions should be calculated and the shear strain should also be calculated.

Q: Use laplace transform to solve the given initial-value problem

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Q: Eliminate the arbitrary constants of the following DES 1. y=x+ae* + be¯* 2. cy² = x² + y

A: Step 1: Step 2: Step 3: Step 4:

Q: Determine the y-coordinate of the centroid of the area under the sine curve shown. 3 Answer:y= = i…

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Q: h1 2 h2 2 S h2 不米 a 不

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Q: SOLVE THE FOLLOWING PROBLEM WITH STEP BY STEP SOLUTIONS SO I CAN UNDERSTAND THE PROBLEM WELL. PLEASE…

A: Ixx = (1/12) * b * h^3       Ixx = Ixx_centroid + A * d^2The total moment of inertia of…

Q: 3 Using the parallel axis theorem, determine the moment of inertia about the xxis for the same shape…

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Q: Find the Inverse Laplace transform of the following. You may use the table, where applicable. Show…

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Q: Example: Let u =2 i+j,v=i+ j and w =i -j. Find scalars a and b such that u = a v +b w.

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Q: 31. Let the sequence be 2, 8, 32, 128. . then this sequence is a) An arithmetic sequence b) A…

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Q: Q2/ Solve the same problem using the variation of parameters. d²y dy +8- + 16 = 8e-2x dx? dx

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Q: Find the moment of inertia with respect to the line x = 2a the area bounded by 2 x = a3 y3, the line…

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Q: Q. 2 Find the position of centroid with respect to given X and Y axis of shaded portion in the…

A: Consider the figure,

Q: Translate the given problem into a second-degree polynomial in x using Lagrange interpolating…

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Q: 8.14 Apply the step-by-step method to form n-groups from the variables Q, D, h/L, p, p, and g.…

A: In designing, applied math, and physical science, the Buckingham π hypothesis is a critical…

Q: 0, elsewhere.

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Q: Find the eigenvalues and eigenvectors of the matrix

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Q: 3 Find the value of x if-1 X 1 x 3 4-30 1 0.

A: Solving matrix

Q: d²y dy +6- dx² dx +9y = 0

A: General solution of the following equation:

Q: Multiply the Following Vectors using cross Product method. W = † x F F = ( 5i + 3j – 8 k) N f = (2i…

A: Given   F= 5i+3j-8k  r=2i-4j-5k

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.