Find the Maclaurin Series of the following functions. sin(x) 1 sin(x) 2 3 arctan(x) 4 cos? (x) 5 x'e* 6 v1- V1 – x³

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

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Q: 1. 4x^2=ay “a” is an arbitrary constant Solve of “C” @ x=1, y=0   2. axy=7 “a” is an arbitrary…

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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: 55. Express the couple moment M, in Cartesian vector form. a. M,i с. Мij b. M,k d. None of the above

A: The couple moment M1 acts counterclockwise about y axis.  If we curl the fingers of right in the…

Q: H.w Find the inverse transform of each of the following. 1 (1) F(s)= S S-8 s-3 19 (2) F(s)=: s+2…

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Q: fON 3 Given: 2y-2x-2 0 5.1.1 Write the equation in standard form. 5.1.2 Determine the co-ordinates…

A: As per answering guidelines, only 1st four sub parts are answered.

Q: 2. Given: Structure shown below Find: (1) Orientation of the principal axes having an origin at C…

A: Compressive stress is the force that deforms the material in a way that reduces the volume of the…

Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 6]. r sin 0 = In r + In cos 0…

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Q: Which of the following expressions are false? 1. u(z, y) = e is a harmonic function. %3D II. u(z, y)…

A: For harmonic function d2u/dx2+ d2u/dy2 =0 Expression I and III does not satisfies this condition .…

Q: 1. Determine the rectangular representations of the vector F. F= 750 N 45 60

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Q: 5. Stagnation point is the point in fluid mechanics where the velocity of the fluid at that point is…

A: At stagnation point flow is acting from high potential to low potential.  Stream lines only…

Q: Analyze the given frame. P units in kN/m

A: given- a frame carrying UDL required- to find unknown reactions.

Q: Using any Geometric Methods only: (Double Integration, Conjugate Beam, Area Moment). Determine the…

A: Area Moment Method In this method we are taking deflection at c where roller support is provide so…

Q: L AB beam. According to this; To AB rigid beamWhen a distributed load of magnitude w = 105 kN / m is…

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Q: y = 4 – Ce-3x

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Q: Find the root of the function f(x) = e 2x – x – 6. Correct to four decimal places. Use initial guess…

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

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Q: ind the derivative of y with respect to x in th u а) у— u = 3x- 2 and u +1

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 3 Q) If y = sin³ () cos³ (²) prove that y'=sin² (x) cos(x)

A: 2 sin x cos x = sin 2x similarly, 2 sin x2 cosx2= sin x derivative of sin x w.r.t = cos x

Q: 2. Verify that the function y = Ciex + C2e2x is a solution of the differential equation y" – 3y' +…

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Q: (a) moment about AB. (b) moment about line connecting points B and C. ( c) moment about OB.

A: Analysing the 3d figure

Q: Using any Geometric Methods only: (Double Integration, Conjugate Beam, Area Moment). Determine the…

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Q: Find the measure of the angle (in degrees) made by the resultant of the concurrent forces with…

A: Appreciate if there is detailed work with explanation and finds you helpful for ease of…

Q: 15. Component of velocity in direction of jet is -VCose a) True b) False

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

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Q: 180 mm Y (mm) s0 -8 (mm) X-axls 250 mm

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Q: Find S'and S"for the function: S = Sin(VE) + 3 t2.

A: using uv rule we can get differentiation for given function

Q: X – 3 4. lim = 1 х-3 ух — 2- x→3 Vx – 2 – V4 – x |

A: Using the approximate method of substitution,   limx→3x-3x-2-4-x Divide numerator and denominator…

Q: Find the Fourier Transform of f(«) = {{ - x - n<x<0 0 <x < n

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Q: V, = 4 units jt 45° 30° V2 = 3 units

A: Schematic diagram of the given problem:

Q: Using any Geometric Methods only: (Double Integration, Conjugate Beam, Area Moment). Determine the…

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Q: n . I will upvote you

A: PC station =PISTA-Tangent

Q: Find the moment of inertia of the area under the curve y = sin x from x = 0 to to x = pi/2, with…

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Q: Eliminate the arbitrary constants: y = C2 O y'=y/2x O y'=2y/x O y=x/2y O y=2x/y

A: Given differential equation: y2=Cx

Q: Find all numbers d such that the average value of f (x) = 2 + 4x-3x2 on [0, d] is equal to 3.

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Q: Draw the s-t and a-t graphs if s=0 when t=0. (s/w) a o = 21 t(s)

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Q: Determine the moments of inertia Iu, Iυ and the product of inertia Iuυ for the rectangular area. The…

A: Calculate MOI about x and y-axis:

Q: • Use the Table to find the Laplace transform as indicated a) L{sin 2t} b) L{cosh 3t} c) L{e!/2t}

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

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Q: 5. Find the moments of inertia of the rectangular solid shown here with respect to its edges by…

A: Given:- The rectangular solid is shown with respect to its edges The dimension of the rectangle on…

Q: 57. Express the couple moment M3 in Cartesian vector form. a. Oi с. Ој b. M3k d. - M3k

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Q: H.W 3- Find a vector V =xi + yj +k that is orthogonal to both A = 3i + j +k and B = 3i +2j +2k .

A: Given vectors: A→=3i+j+k B→=3i+2j+2k The cross product of vectors A and B is orthogonal to each…

Q: 1 (x– 2) (x – 2)² (x – 2)" f(x) = 2 + (-1)". 4 8 2n+1 Find: - a- Values of (x) that make series…

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Q: Expert Q&A Done 1. By integration, determine the moments of inertia about the x- and y-axes for the…

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Q: Define the Maclaurin series of the function, up to fifth degree:                             y = sin…

A: Given  Y= sinx

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.