Find the mean value of y= x° +r + x over the range -1 < x < 1, and enter your answer as a decimal in the box below. Give your answer to 2 decimal places.

Q: Find Fx F1 300N 400 N 4 3 F2 30° 15 60° 12 F3= 150 N F4=260 N

A: Force  Force is vector quantity by means of which rest body comes in motion. Unit of force is N.…

Q: Determine the angle α shown in the figure to achieve the maximum range d and calculate the value of…

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Q: 10. Find the derivatives of the function xy² = x - y x + y

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Q: 1. Which of the following is a linear equation? (Select all that apply) (а) 12 + у — 19 (c) sin x +…

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Q: The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the…

A: The force exerted on the dam by water pressure is 5.156 x 109 N.

Q: Solve the differential equation dy y²sin(2r)sin°(x) = 0, y(0) = 1 dr

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Q: The second moment of area of a rectangle is given by the formula  I =bh^3/12 where b is the breadth…

A: Solution As we know that I=bh312=30*80312=1280000 mm4

Q: Solve the following differential equations: Homework 1-y² (a) cos 4x +1 y -dy 0 sin 2x (b) x'y'…

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Q: The curve is linear between the origin

A: Stress - Strain curve shown below  for the given values.

Q: (x^2+y^2) +2xydy=0 what type of equation is this

A: Given Data⇒ x2+y2+2xydy=0

Q: Find the first and second derivatives of the parametric equation x = t³ + 3t² ; y = t³ - 3t²

A: x = t³ + 3t² ; y = t³ - 3t² dxdt=3t2+6t  dydt=3t2-6tdydx=dydtdxdt=3t2-6t3t2+6t…

Q: Solve the following using variation of parameters y"-y'-2y=4x^2

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Q: 16. Find the rectangular equation of a curve whose parametric equations are x = 2 cos 0, y = 2 sin…

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Q: (x+2)Vx+1

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Q: 220 40° 26° Find 225° d= 30 m R. d=40m

A: Given Datad1=40md2=50mγ=?α=? Here we are naming the triangle OAB and OPQ

Q: 1. y = -2xy

A: Hi. as you have posted multiple questions and not specified which question needs to be solved, we…

Q: Given the curve y² = 5x – 1. Find the equation of the normal line at the point (1,-2). Select one:…

A: Perpendicular line slope relation m1*m2=-1 Following question is considered as a part of engineering…

Q: 6) Find the missing value of the following table :- X 1 2 3 4 y 3 11 27

A: x 0 1 2 3 4 y 3 6 11   27 When x=0 , Put the value of n=1 inn2+2, n=1, y=12+2=3When x=1, Put…

Q: Trace the curve of y²=x²+5x+7

A: Determine values of Y by substituting different values of x

Q: Find the indefinite integral. (Use C for the constant of integration.) de cos(0) – 1

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Q: Graph the function. f(x) = 2 + sin x

A: The function is given as,   fx=2+sinx   The values of function f(x) at different values of x are…

Q: As defined in the fig v, and 0 Find The equation that defines y as a fiunction of x. R

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Q: ᴅᴇᴛᴇʀᴍɪɴᴇ ᴛʜᴇ ᴘᴏɪꜱꜱᴏɴ’ꜱ ʀᴀᴛɪᴏ ᴏꜰ ᴀ ᴍᴀᴛᴇʀɪᴀʟ ᴡʜᴏꜱᴇ ᴍᴏᴅᴜʟᴜꜱ ᴏꜰ ᴇʟᴀꜱᴛɪᴄɪᴛʏ ɪꜱ 200 ɢᴘᴀ ᴀɴᴅ ᴡʜᴏꜱᴇ ᴍᴏᴅᴜʟᴜꜱ…

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Q: 00 ᴍᴡ ᴘᴏᴡᴇʀꜱ ꜱᴛᴀᴛɪᴏɴꜱ ᴅᴇʟɪᴠᴇʀ 100 ᴍᴡ ꜰᴏʀ 2 ʜᴏᴜʀꜱ, 50 ᴍᴡ ꜰᴏʀ 8 ʜᴏᴜʀꜱ, ᴀɴᴅ ɪꜱ ꜱʜᴜᴛ ᴅᴏᴡɴ ꜰᴏʀ ᴛʜᴇ ʀᴇꜱᴛ…

A: Given:Load of the power plant, P=100 MWLoad delivered for 2 hours, P1=100 MWLoad delivered for 8…

Q: 8. Find the derivatives of the function 1 y =(5-2x)-³ 8 +

A: Find the derivatives of the function.

Q: 1. In the figure below (Figure 1), d and h can be computed from the angle 0 and the side s. Figure…

A: Given data s = 1000.000 m θ = 20°00'00" Error in measuring s = 0.100 m Error in measuring θ = 20"

Q: Solve the following for x: 6log. Vx-log,3x=log, x i1) 32-5 =27 i11) Vx +x+10 =x+2

A: i) 6 loga x-loga 3x=logax-2   Since n loga m=log mn   loga x6-loga 3x=loga x-2

Q: 1. Find the derivatives of the following function (a) y=4²+2 (b) y=-2+3

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Q: Given x(t) = Acos (120 + φ) = A1 cos120t + A2 sin120t. Find A1, A2, A and φ when x(0.1) = -0.995 mm…

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Q: Q6: The following force of mortality is given: Hy = 0.02 + - for 0sys 100. 100-y' 200-y Find 10918:

A: It is given that, μy=0.02+1100-y+2200-y for 0≤y≤100 10q10 needs to be calculated in this problem.

Q: If a number is chosen at random from the set {1, 2, 3, .., 100}, then find the probability that the…

A: Number set = { 1,2,3,......,100} The number should be a pefect cube , so Favourable outcomes=…

Q: Q2. Evaluate f, F.n dA, where F = 18zi – 12j + 3yk and A is that part of the plane 2x + 3y + 6z 12…

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Q: What is the Laplace inverse of (2S+1)/(S^2-2S+2)? Select one: 2e t sin(t) + Be^txcos(t) Bert sin(t)…

A: L-12S+1S2-2S+2=?L-1FCS where ,⇒ FS=2S+1S2-2S+2

Q: Obtain the general solution to the equation. (x² + 1) dy + xy = 8x, y(0) = 1 dx

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Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx ソミ V9x2 + 16

A: According to the details provided in the question, we need to calculate integration.

Q: Use the binomial theorem to expand (x + y)°. Hence, find the value of 32 1 (1 +-)° using the…

A: The binomial expansion of the expression (x+y)5 is given by;

Q: 1. Determine the general solution of (x + 3y)dx – x dy = 0

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Q: Question no 3: let f(x) = v1 + ax² in the interval [1,4] with n=6 and a (last three digits in the…

A: Given: The function is given below: Fx=1+ax2        a=0.88Fx=1+0.88x2   The interval is 1,4 with n =…

Q: Evaluate the integral of xF(x) from x=1 to x=2

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Q: Solve the following differential equation: dy 2y – x*e-2x = 0 dx

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Q: Obtain the general solution to the equation. dy (x2 + 25) + xy =7x, y(0) = 1 dx

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Q: 1 -1 0 1 1 х+1 ) Let A = 1 x E R. What is the rank of A dependent of x E R. x -1 1 x+1

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Q: Evaluate the following expression when x = - 1, y =5, and t= 7. |x| + 2t-8y

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Q: Solving Equation 5 for a in terms of the measured quantities x and t gives 2x (Eq. 6) a = t2

A: As given in table for mass difference (m2-m1) Kg the acceleration and applied force can be…

Q: Arrange the terms of the equation in a linear form and evaluate the quantities P and Q using the…

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Q: Convert the following into SI units

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Q: Find the z-component of F1 in Newtons. If the calculated answer is not whole number, express it in 4…

A: Given data: Force, F1=425 N Let F1X, F1Y, F1Z be the components of force, F1. So, the force F1 and…

Theory and Design for Mechanical Measurements

Measurement is a term that refers to analyzing a manufactured component regarding the degree of accuracy for dimensions, tolerances, geometric profile, roundness, flatness, smoothness, etc. Measurement always involves comparing the manufactured component or the prototype with a standard specimen whose dimensions and other parameters are assumed to be perfect and do not undergo changes with respect to time.Precisely in mechanical engineering the branch that deals with the application of scientific principles for measurements is known as metrology. The domain of metrology in general deals with various measurements like mechanical, chemical, thermodynamic, physical, and biological measurements. In mechanical engineering, the measurements are limited to mechanical specific such as length, mass, surface profile, flatness, roundness, viscosity, heat transfer, etc.

Basic principles of engineering metrology

Metrology is described as the science of measurement, precision, and accuracy. In other words, it is a method of measurement based on units and predefined standards.