With the same symbols as problem (2), is the equation v = /2gr dimensionally consistent?

Q: Find the location of the centroid of the following shape: 90 mm 30 mm 70 mm X k 30 mm 30 mm y n…

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Q: 2. Find a root of an equation f(x) = (x^3) -x-1 ,using Newton Raphson method.

A: we will apply the formula of Newton Raphson and iterate till we get one single answer in iteration.

Q: Question - Derive for the displacement in a matrix form for a two-dimensional

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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: Part A is correct but I'm not sure about part b

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Q: Given the joint density function (6 — х — у 0 < x < 2,2 < y < 4, f(x,y) = , 8 0, elsewhere a. Verify…

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Q: Determine whether given differential equation is exact. If it is, find the solution. 3y (x² – 1) dx…

A: First we have to check whether it is exact or not by doing partial differentiation which is done as…

Q: Find real numbers x,y,z such that A is Hermitian, where A = 3 3-2i yi x+2i yi 0 1+zi 1-xi -1

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Q: Given the following, determine the centroid about the x-axis for the following problem. Please show…

A: Let's give it a try. I hope it helps. To determine the centroid (xˉ,yˉ​) of the composite shape…

Q: Find the Laplace transform of f(t)={0, t<3      ={t2−6t+13, t≥3 F(s)

A: For t&lt;3 Lft=L0=0

Q: Find the minors of every element of the following matrices: For part (a): 1 3 -2] A = 4 -3 4 -1.

A: To calculate the minors of every element of the given matrix.   Given, A=   1    3 -2    0    5…

Q: , then relation between A and B is: *

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Q: b) f(t) = 2 sin 3t cos 3ª c) f(t) = sinh %3D 3

A:

Q: Question#3: Use the Newton Raphson method to find the solution accurate to within 10-5 for the…

A: The newton Raphson method is also termed as newton's method it it the quick way of calculating the…

Q: 4. What is the order, degree and linearity of In x = 0 dx,

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Q: Find The Fourier series for the function defined by -n < x<0 f(x) = {" X + us

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Q: Use laplace transform to solve the given initial-value problem

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Q: Eliminate the arbitrary constants of the following DES 1. y=x+ae* + be¯* 2. cy² = x² + y

A: Step 1: Step 2: Step 3: Step 4:

Q: 1.74 It can be shown that a plane area may be represented by a vector A = AX, where A is the area…

A: Given: A = (3, -1, 0) B= (-2, 2, 3) C= (0, 0, 4) In question 1.74, Area of parallelogram with sides…

Q: Prove the following relation

A: We know that,e=VVVSe=VVVS×VwVwe=VVVw×VWVSWe…

Q: Example: Let u =2 i+j,v=i+ j and w =i -j. Find scalars a and b such that u = a v +b w.

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Q: Find the moment of inertia with respect to the line x = 2a the area bounded by 2 x = a3 y3, the line…

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Q: You have been asked to find the centroid of a shape (left picture). First you use integrals to get…

A: To compare the y-coordinate of centroid of the exact and the approximate shape.   Using integrals…

Q: 8.14 Apply the step-by-step method to form n-groups from the variables Q, D, h/L, p, p, and g.…

A: In designing, applied math, and physical science, the Buckingham π hypothesis is a critical…

Q: egrate the equation below using Four-Point Gauss Quadrature betwe dy = 0 to y = 2.5. Hint: this is a…

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Q: 3 Find the value of x if-1 X 1 x 3 4-30 1 0.

A: Solving matrix

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: Example 2 Find the kaplace transform of periodic function defined. by fe= 4/₂ fo f(t+3) = ft 0<t<3

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Q: Find the eigenvalues and eigenvectors of the matrix

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Q: 2. 3.0 -0.5 0.6 1.5 4.5 6.0 4. 4 4 5 -3 1 2 -9 2 -1 5 1.

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Q: For the frame problem shown in the following figure, a-Determine the load vector {q2} in the global…

A: Data Given: Asked: Load vector q2 in global coordinate system

Q: Find the centroid of the area bounded by a^2y=x^3, the y-axis and y-8a=0

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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:

Unit Conversion

Standard units are also called SI units. SI units are used for measuring a physical quantity satisfying certain conditions. There are two types of units: fundamental units and derived units. Fundamental units are physical quantities that are independent, that is, they do not depend on other quantities like mass, length, or time. There are plenty of quantities in our lives which need to be measured and compared. Measuring is the comparison of a particular physical quantity with its reference value. A unit is a measure of a fixed physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with.