Q5) Evaluate the integral S (x + 2y) dA, over the triangular region bounded by the lines y = x, y = 1 - x, and the y-axis. Use the following orders of integration: 1- dy dx 2- dx dy

Q: 1. Determine the magnitude of the vector sum V = V1 + V2 and the angle 0x. and also V' = V2 - Vi…

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Q: determine the slope at point B in radian. The equation of elastic curve are the following:  E = 200…

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Q: For a simply supported beam of length L. Area of crossection A, Inertia I, and modulus of elasticity…

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Q: 1. Given the vectors A = 5i + 3j + 2k and B= :0i – 7ỷ – 2k. Find the following: (n) A. B (b) Angle…

A: Solution:-     Given vectors     A→=5i∧+3j∧+2k∧     B→=0i∧-7j∧-2k∧a  A→.B→      5i+3j+2k.0i-7j-2k…

Q: Determine the slope at point B of the beam shown using Castigliano's Theorem. (You can verify using…

A: SoLet us take M=50KN-mFrom Castigliamos theorem we knowθB=1EI∫0LMx∂Mx∂MdxTake B as origin Limits 0…

Q: Find the angle between u = 3e, + 2e,-0€; Write down an expression for a unit vector parallel to the…

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Q: x + y - z = 9 8y + 6z = -6 -2x + 4y – 6z = 40

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Q: Let f(x, y) = x3 + y3 – 9xy + 27 , then (3,3) is saddle point. True False

A: We have, f(x,y)=x3+y3-9xy+27

Q: Find the area A under the graph of y = x² + 1 and the x - axis on the interval [-2, 2]. Select one:…

A: The area under the graph is:

Q: Use the Jacobi method and Gauss-Seidel method to solve the following system until L²-norm of Ax is…

A: Given -4c1-c2+12c3=235015c1-3c2-c3=3800-3c1+18c2-6c3=1200now,c1=3800+3c2+c312  →1c2=1200+3c1+6c318…

Q: Use Cramer’s rule to solve for x' and y' in terms of x and y: x=2x'-3y' y=x'-y'

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

Q: Using Double Integration Method. Consider 150 mm x 150 mm section and E = 200 GPa.  a= 4.50 b=24…

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Q: Solve the three V-M diagrams below using the semi-graphical method, marking the numerical values at…

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Q: Q4| A\ Find y(4.4), by Euler's modified method taking h = 0.2 from the differential equation %3D (5…

A: To find :- (4) A/  y(4,4) by Euler's modified method (4) B/ root of the given equation

Q: 1. Using Integration, find the centroid of the given triangle y h y = (b - х) h

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Q: 3 k/ft A 20 ft Given: E= 290 x 106 psi, I = 1500 mm¹ Use Double Integration Method to determine the…

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Q: Based on the Right Triangle as shown above, solve for the following: a. Solve for b; knowns 246.06…

A: Right angle Triangle.

Q: solve for member CE. consider an equilateral triangle

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Q: 5 B) Find y" for the function y =x + Vx at p(1,3)

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Q: The point P in the figure travels on the parabola (with focal distance f = 0.5 m) at the constant…

A: Given that  The equation of the path is 2y = x2 The value of the focal distance is f = 0.5 m The…

Q: Calculate the center of gravity of the part consisting of line AB and arc BC given in the figure and…

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Q: Referring to the figure, determine the angle between vector A and the y-a

A: Considering the given figure:

Q: Px (3L – x) PL 3EI PL? 2EI 6EI

A: NOTE - : We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Q1/A) Replace the polar equation by equivalent Cartesian equation r2cose +2sinė Q1/B) Find the…

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Q: Q3) Use the integration method, and find the centroid of the shaded area in terms of a and b. y y =…

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Q: 10. (D* + 2D3 + 10D²)y = 0

A: We have Answerd Given Equation by using genral equation.

Q: Determine the value of the slope at C in degrees. Answer in 3 decimals (1 degree = 1rad*180/pi)

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Q: Suppose w = ÷ x = cos? t, y = sin? t, z = dw Evaluate at t = 3, by using the Chain Rule dt

A: IN THIS QUESTION WE ARE GIVEN WITH THREE VARIOUS EQUATIONS THESE CONTAIN FOUR VARIABLES AND WE ARE…

Q: Find Vertical displacement of point A by using Castigliano's theorem.

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Q: For the built-up section shown, determine the following: a. Centroid of the Area, b. Moment of…

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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: ha

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Q: 2- If we take east as x- axis and north as y- axis, then displacement = 20 °i +10°j. Find the…

A: x=20i+10j To find magnitude of displacement

Q: Use the Jacobi method and Gauss-Seidel method to solve the following system until the L¹-norm of s…

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Q: Determine 6, and 8, at point Busing double integration method. El is constant. B 3 17 17

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Q: Gauss Elimination Method Problems 1. Solve the following system of equations using Gauss elimination…

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Q: test for the linear independence or independence of the following functions in all intervals using…

A: Given data: f1x=exf2x=cosxf3x=sinx

Q: Secx Q1) A) Evaluate the following integral: J-tanx dx B) Find the slope of the line tangent to the…

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Q: Using the equation sinx – x3 +1 , determine f(3.1) utilzing Forward-difference, backward-difference,…

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Q: Using Simpson's rule Evaluate the integral of x2 - 4 if the lower limit is 0 and upper limit is 5.…

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Q: XERCISES 1: Find the gradient of the function at the given point. f(x, y, z) = x2 + y? - 2z2 + z…

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Q: Find the root of the following equation x* - x - 10 = 0 Use The fixed-point iteration method?

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Q: Q. Solve the following first-order differential equation dy +x%3D0, dr with IVP y(0) = 1.

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Q: 2. Determine the following: Use Bracket Method |P 2P A В C (D L L 000 a 2 2 a. Equation of the slope…

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Q: Apply Euler's method approximate the solution of the initial value theorem problem: and Runge-Kutta…

A: dydx=41+x2 y(0)= 0 h=0.2 Interval is [0,1] Euler Formula:- yn+1 = yn + h f(xn , yn)