For equation, x^3 +2(x^2)-103x-440, evaluate the integral of the function between 0 and 5 using the Trapezoid Rule using n=4.

Q: y = y- x²+1, y(0) = 0.5

A: Given Initial condition x0=0 ,y0=5 y'=y-x2+1 h=0.25 Solution:  Euler's methody1=y0+hf(x0,y0)…

Q: Given is a thin-walled tube with the following data: Wall thickness- 2mm ABC is a sector with a…

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Q: 2. Using Simpson's 3/8 rule, get the value of the integral below. I 1 -with h= 1/6. dx X + =

A: Given, The interval, h = 1/6

Q: Q1: In the figure , the component ( F,) of force ( 100 N) equal: a: 100N x6/10 b: 100NX 8/6 c: 100…

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Q: Given is a thin-walled tube with the following data: Determine the following: a. Enclosed Area Wall…

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Q: Given is a thin-walled tube with the following data: Wall thickness- 2mm ABC is a sector with a…

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Q: An ideal spring has a spring constant k = 24.3 N/m. What is the amount of work that must be done to…

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Q: integral by first modifying

A: Given: To determine solution to∫8t+9tdt

Q: Given is a thin-walled tube with the following data: Wall thickness- 2mm ABC is a sector with a…

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Q: For which values of n is the function y x" a solution of the differential equation xy – 3.2ry-6v = 0

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Q: Q3/A For the figure below, the * :.resultant is 20 N 75 N 450 50 N 150 N 259 80 N

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Q: An ideal gas expands isothermally along AB and does 630 J of work. The process is illustrated in…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. tan'(8x) sec…

A: Concept of integration of engineering mathematics in mechanical engineering is used to arrive the…

Q: Does the Macaulay function follows the same rules as for ordinary functions? Give an example?

A: Macaulay function all most follows the same rules as ordinary functions. Macaulay method used to…

Q: QUESTION 3 A 0.3 m x 0.3 m square shape is given with outside temperatures are 0 °C, 200 °C, 300 °C…

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Q: 2. Obtain the solution x(t) of the differential equation (using Laplace transform): * + x = sin(3t),…

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Q: ɪɴ ᴀ ᴘᴜᴍᴘɪɴɢ ꜱʏꜱᴛᴇᴍ ʜᴀɴᴅʟɪɴɢ ᴡᴀᴛᴇʀ, ᴛʜᴇ ʟᴇᴠᴇʟ ɪɴ ᴛʜᴇ ꜱᴜᴄᴛɪᴏɴ ᴛᴀɴᴋ ɪꜱ 3ᴍ ʙᴇʟᴏᴡ ᴛʜᴇ ᴘᴜᴍᴘ ꜱʜᴀꜰᴛ…

A: Answer: The pump efficiency is 85.55 %.

Q: b. Solve the following higher order ODE using Laplace Transformation for y(t). y" + 3y" + 7y + 5y =…

A: The differential equation is written as,   The variables are written in Laplace form, The above…

Q: Water flows in a pipe. The velocity profile at each section of the pipe is denoted by Equation (*)…

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Q: The solution set of the equation x 3 7| 2 x 2 = 0 is: 7 6 O (2. 3, 7) O 2.7. (2, 7, -9) O (-2. 3, 7)…

A: Givenx372x276x=0

Q: ɪɴ ᴀ ᴘᴜᴍᴘɪɴɢ ꜱʏꜱᴛᴇᴍ ʜᴀɴᴅʟɪɴɢ ᴡᴀᴛᴇʀ, ᴛʜᴇ ʟᴇᴠᴇʟ ɪɴ ᴛʜᴇ ꜱᴜᴄᴛɪᴏɴ ᴛᴀɴᴋ ɪꜱ 3.2ᴍ ʙᴇʟᴏᴡ ᴛʜᴇ ᴘᴜᴍᴘ ꜱʜᴀꜰᴛ…

A: Here we have =FlQ2 x 16π2 x d5 x 2gF=4 X 4.5 X 10-5Frictional head =F 16Q2π2 X 2gl1d15+l2d25⇒ 18 x…

Q: s2 + 2s o) F(s) Find inverse s4 laplace transform

A: Find the inverse laplace of the given function.

Q: The solution sets as intervals of the following inequality ǀ 3y - 7 ǀ

A: The inequality is given as, 3y-7<4

Q: 2. Show the steps in the derivation of the Bernoulli's equation

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Q: 2- Define the elements and variables of the system given below. Indicate the across variables on the…

A: Elements and variable for the given diagram is shown below: Elements Transformer Pump Pipe Storage…

Q: Given the following conditions: Q = 0.05 m/s P1 = 12.5 kPa P2 = 11.5 kPa P3 = 10.3 kPa Find HL (1-2)

A: Calculated head loss HL(1-2) in kPa.

Q: Q4: Three pipes A, B and C, are interconnected as shown in figure (4). The pipes characteristics are…

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Q: The principal stresses for a certain state of stress are σ1 = 30 kPa, σ2 = 20 kPa, σ3 = 10 kPa. Find…

A: given; σ1=30KPaσ2=20KPaσ3=10KPa

Q: ᴄᴏᴍᴘᴜᴛᴇ ᴛʜᴇ ɴᴏᴍɪɴᴀʟ ꜱʜᴇᴀʀ ꜱᴛʀᴇꜱꜱ ᴀᴛ ᴛʜᴇ ꜱᴜʀꜰᴀᴄᴇ, ɪɴ ᴍᴘᴀ, ꜰᴏʀ ᴀ 50 ᴍᴍ ᴅɪᴀᴍᴇᴛᴇʀ ꜱʜᴀꜰᴛ ᴛʜᴀᴛ ɪꜱ…

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Q: Verify if the following functions are Linear or not. Support your conclusion with appropriate…

A: a. Given that f(x) = x/3 We know that slope intercept form y=mx+b Comparing with this equation y=…

Q: The constants are evaluated using the boundary conditions.True or false?

A: The statement is true.

Q: 11) Which of the following best represents the goveming differential equation for the following…

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Q: f (t) = t 2.

A: Given, ft=t2

Q: Q = K.A, 2gAh

A: Write Bernoulli’s equation. Here, P1, v1, h1 represent the pressure, velocity, and height at point…

Q: Suppose that the stiffness matrices of the above question (as shown below) are as follows: b -b a -a…

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Q: to evaluate the following integral you * have to assume u 1 dx Vx(1+9x)

A: Given: The value of integration is, ∫1x1+9xdx

Q: Solve the given linear system by any method. 211 - I, + 3I3 + 4I, = 9 – 2I3 + 7I4 = 11 311 - 312 +…

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Q: a. f3x'y-42 dx b. [ 3x°y-42 dy

A: Given that ∫3x2y- 4yxdx. It can be evaluated as follows. ⇒∫3x2y- 4yxdx⇒y∫3x2- 41xdx⇒y3x33- 4 ln(x)+…

Q: V: Use the chain rule to find the derivative of w= x² + y? with dw respect to t dt with x = cos t +…

A: Use chain rule to solve this problem

Q: The bar shown in the figure below is rotating about a fixed pivot. At a point in time the angula…

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Q: The value of the constant a of (r² + 5æy)dr + (ax² + 3y²)dy if the differential equation is exact,…

A: EXACT DIFFERENTIAL EQUATION: The differential equation Mdx+Ndy=0, is said to to be exact…

Q: ᴀ ʀᴇꜰʀɪɢᴇʀᴀᴛᴏʀ ʙᴀꜱᴇᴅ ᴏɴ ɪᴅᴇᴀʟ ᴠᴀᴘᴏʀ ᴄᴏᴍᴘʀᴇꜱꜱɪᴏɴ ᴄʏᴄʟᴇ ᴏᴘᴇʀᴀᴛᴇꜱ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴛᴇᴍᴘᴇʀᴀᴛᴜʀᴇ ʟɪᴍɪᴛꜱ ᴏꜰ -20…

A: GivenT1=-20oCT2=40oC

Q: 4x+18 Q2 (a) Given the function, f(x) = 6* (i) Calculate the first derivative of the function by…

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Q: Use the process of partial fractions to determine the inverse Laplace of the following functions: s²…

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Q: ii, If the length of each element is 5m and the k-EA/Lis given as shown, analyze the following…

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Q: Example C.W: by using the definition of the derivative, find dy/dx of the function 1- f2) fx) - х*+x…

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Q: 1. Concept questions in forms of multiple choices, filling blanks, and/or computations. a) According…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Analyse the statically determinate bar illustrated below by expressing the loading as a single…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Thermodynamic Relations

Thermodynamics is the division of physics that deals with the transfer of any kind of energy, whether it be heat, temperature, or work, from one object to another.