From the following data, perform the required curve fitting: i 1 4 6 3 5 7 9 12 14 9 15 21 27 36 42 1. Determine the equation of a line that fits 2. Set a 2nd order polynomial to the given data

Q: 1. Determine the magnitude of the vector sum V = V₁ + V₂ and the angle x which V makes with the…

A: Given Data: The data is given as: a=3b=5V1=11 unitsV2=15 unitsθ=50°   To Determine: The magnitude of…

Q: Problem 1. Determine the following unknowns on the beam shown below using Double Integration Method.…

A: Given Beam condition  From Equilibrium equations ∑FY=0 RA+RD=36×7+39+22+02×6=357kN ∑MZ=0 taking…

Q: What is the area of the below figure if you know x=32.7? (use Simpson's rule) 32 33 28 30 X X- X-…

A: X=32.7

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

A:

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: 15 20 25 20 | 33 t (ms) 5 10 30 35 40 45 50 55 60 a (m/s?) 0 3 8 42 40 48 60 12 8. 4 3 60 I(f) =…

A:

Q: 19 KN/m 22 KN/m 3.42 m A B 2.88 m 5.71 m

A:

Q: C_ Using the method of adding vectors, find the result of the following figure: 60 If you know the…

A: Draw the figure. Assume n = 0

Q: troid of the figure shown above measured from the y-axis. Use x = 4.97 , y = 4.47, and r = 2.64.…

A: Centroid measured from y-axis :x¯=Ax1+A2x2+A3x3A1+A2+A3

Q: Use Secant Method to find the root of the equation below correct to 8 decimal places, by tabulating…

A: To determine the root of the given equation using Secant Method.   Given: fx=x+ex   The general form…

Q: A. Solve the following system of equations using the Gauss-Jacobi iteration method. 2. 27x + 6y –z =…

A:

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: Problem 1B. Use Newton's Method to interpolate the value of f(2.8). 1.6 2.5 3.2 4 4.5 f(x) 8. 14 15…

A:

Q: Determine the following unknowns on the beam shown below using Double Integration Method. Consider…

A: Given data:

Q: Newton Raphson Method is used to find the Roots of the equation x + 2x2 + 3x-1 0 If the initial…

A:

Q: For the beam and loading shown, what is the equation of the SLOPE for portion AB of the beam. Use…

A:

Q: Estimate area of a circle with R = 1m using finite element method concept using upper bound approach…

A:

Q: y (NOT IN SCALE) Determine the direction of angles of a force vector F, where 01 : 30°, c = 1.73205,…

A: Given, θ1=30°c=1.73205d=1|F→| = 360 N

Q: 2. dx6 +11+ 19 + 9y = 0 dx dx2

A:

Q: 13 KN 82 KN/m 3.855 m 3.855 m A B 7.77 m 6.39 m

A:

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

Q: Estimate the error in evaluating the function f(x) = e2x* sin x %3D near the point x = 1.369, if the…

A:

Q: Given that from Point A, x = 8.12 m. What is the value of El(y)? Given that from Point A, x = 5.59…

A:

Q: 0.3 0.6 0.9 1.2 1.5 1.8 °f(x)c f(x) 0.5 0.6 0.8 1.3 2 3.2 4.8

A:

Q: What is the area of the below figure if you (know x=31.7? (use Simpson's rule 33 27 32 28 30 31

A: Given information  Ordinates  Distance between Ordinates  To find area using simpsons

Q: What is the area of the below figure if you know d=20.9? (use trapezoidal rule) 32 26 28 24

A: To determine : Area of the given figure using trapezoidal rule.

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: Use Bisection method to find a real root of x² - 2 in the interval [1,2]. What is the approximated…

A: Given,  Data for analysis by bisection method

Q: What is the area of the below figure if you know x=35.7? (use Simpson's rule) 33 27 32 28 30 31

A:

Q: QUESTION 3 The beam in Figure 3 is roller supported at A and B, pinned at D and hinged at of the…

A:

Q: Given that from Point A, X = 2.93 m. What is the value of El(y)? Given that from Point A, x = 8.83…

A:

Q: Given the function, S(x) = 25x - 9x² + 9x + 52 Estimate the value of the integral bounded from a-0…

A: Let the step size, h = 0.1 Hence the steps are at, 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, and 0.8 The…

Q: Determine the magnitude of the component force F in the figure below and the magnitude of the…

A:

Q: 140 150 181 ter diagram of the data. Then visual. lator to verify that Ex= 59, Ex² = 94

A: Given: Take x as the age of pony whereas y be the average weight

Q: Run the Bellman-Ford algorithm on the directed graph of the following graph (Figure 24.4), using…

A: The execution of the Bellman-Ford algorithm is given in the following steps: Consider the first step…

Q: Conduct the following using either Double Integration Method, Moment Area Method, or Conjugate Beam…

A:

Q: Area A1) = lox6. 60 mm = 3 m lo = Smm Area (Az) =}T (3) =14:139 mm? 3 mm , 43) = 1.27 mn Sea (As)…

A: 1. Explanation for '3' The formula for locating the centroid of the semicircle from its diameter is…

Q: ase do ot roun all compulations anU BOX all inal answerS Conduct the following using either Double…

A:

Q: Calculate the position of the centroid. Use the axes of the figure. It is possible to make the…

A:

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.