Given matrix M below, [sin² A sin A cos A M sin? B sin B cos B Co Lsin? C sin C cos C CO Show that det M = sin (A - B) sin(B – C) sin(C – A)

Q: (5x+2) 2 What should be the rewrite of the integrand of -dx so that the resulting integral is…

A: To re-write the given integrand to make it integrable.   Given, I=5x+22x2   The integrand can be…

Q: 15 20 25 20 | 33 t (ms) 5 10 30 35 40 45 50 55 60 a (m/s?) 0 3 8 42 40 48 60 12 8. 4 3 60 I(f) =…

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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: Calculate the inverse of the following matrices 2 -3 1 1. 4 -5 2 5 -7 3

A: Given: The matrix is,

Q: Select the correct value of y at x = PI/3 for the following equation: y"+ y = 4x + 1Osinx while y…

A: Given- y"+y=4x+10sinx To find value of y at x=π/3

Q: 1. Consider the integral 2nx g(x) dx. There is a function g(x) such that when u = In x the resulting…

A: Given, If u = Ln (x) then resulting integral is ∫2u du

Q: (x - 1)(x – 2) z (x – 3)(x + 1)

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Q: If f(x) = 4x²+6, then what is the derivative of f(x) with respect to x? %3D 8x 8 O x 4x

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Q: To calculate the derivative dy/dx of the parametric equations x(t)= 3cos t and y(t)=3sin t for…

A: For dy/dx we will differentiate y and x w.r.t and divide

Q: Derive f from the given equation

A: Given data- 1f=-2.0log10ε/D3.7+2.51Ref To Find- The expression for "f".

Q: Write v as a linear combination of u and w, if possible, where u = (2, 3) and w = (2, −1). (Enter…

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Q: Determine the solution set of the following equations using linear equations. 2. (x5 + 3y)dx – xdy =…

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Q: Hazen-Williams equation used to define

A: The relationship used for corelating the physical properties of pipe to flow of water is known as…

Q: dy 6. yz = 1, when x = 0, y = 4 + %3D dx

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Q: Simpson's 1/3 Rule for integration is mainly based upon the idea of Approximating f(x) by a 4th…

A: Option (c) is correct.

Q: Determinant and Matrix Inverse Calculate the determinant of the given matrix and identify the matrix…

A: Given: A=310001-209 D=30×9-1×0-10×9--2×1+00×0--2×0=-2 Since: A-1=AdjAA

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: C, cos (wt) + C2 sin (cot where wis こ a parameter not to be eliminated. - a rin (x tb)

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Q: Determine whether the matrix expression E(2B + A) is defined. Enter the size of the resulting matrix…

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Q: 5) Let f(x) be the polynomial of degree 3 which interpolates the data given below 5 6. 9. 11 f(x) 12…

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Q: Problem Set 3.2. Find the Integrating problem of the following differential equation and find the…

A: given equation (y + 1)dx - x dy = 0 we are asked to solve this equation

Q: 0.3 0.6 0.9 1.2 1.5 1.8 °f(x)c f(x) 0.5 0.6 0.8 1.3 2 3.2 4.8

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Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=1,…

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Q: (a) Determine h value in cm.

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Q: Simpson's 3/8 Rule for integration is mainly based upon the idea of O Approximating f(x) by a 3rd…

A: Simpson 3/8th rule for integration is approximately appropriate for polynomial of degree 3 or less.…

Q: 4. у" + у3 tanx y

A: Given data: y''+y=tanx

Q: Process of splitting up of a single vector into two or more vector is called of the vector. O a.…

A: superposition = process of superimposing vectors over each other is superposition. composition = The…

Q: Find the determinant of the given matrix below. 2 Y 0-1 -4 0 Z -Z -2Z

A: Answer 1 x - x3 + x5 Answer 2 |A|= 0

Q: Q4) Figure (Q4) shows vectors A and B. Find vector C such that vectors A + B + C = 0. Write your…

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Q: Given the matrix equation, solve for x and y. 1 1 3 2

A: Given Matrix1132xy=20

Q: The function f' defined by the formula S(t + h) – f(t) f'(t) = lim %3D h is called the derivative of…

A: We have calculated,                  f(t)=lim→0  f(t+h)-f(t)h  Find  f(t) by using definition.

Q: Simpson's 1/3 Rule for integration is mainly based upon the idea of O Approximating f(x) by a 2nd…

A: Asked: To choose the correct option corresponding to Simpson's 1/3 Rule.   Simpson's 1/3 Rule is a…

Q: (a)The force acting on a particle varies as in the shown figure. Find the work done by the force on…

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Q: If f(x) = 5x³+2, then what is the derivative of f(x) with respect to x? O 15x O 5x2 O 15x2 O 15

A: Given  f(x)=5x3 +2 let y=f(x)=5x3+2 derivative of f(x) with respect to x  dydx=f'(x)…

Q: Given log x-a, log y=b, 1og=C Find the value of log. ys

A: Hello dear this is the solution of your problem The answer is found to be Answer=8a+4c-3b For…

Q: EQUATION dy * + ytanz V sec a

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Q: What is the integrating factor for the differential equation given below? y-ylnx = sin x a xe b. xe*…

A: Given data: Differential equation. y'-ylnx=sinx

Q: D. Solve the following by Linear Equations Method. 1. (x* + 2y)dx – xdy 2. y' = csc x – ycot x %3D

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Q: Q/Write the following complex numbers in form x+yi : 3e^t/3 i 2e^-Tt/4 i e^t/3 e^-Tt/6 i -5 e^ -7/5…

A: To write eiθ into complex numbers we can write it as follows             eθi = Cosθ + i Sinθ

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform F(t) = {6, Ost 0) L{f(t)} =

A: Given data: ft=6,   0⩽t&lt;50,   t⩾5

Q: Suppose the determinant of a 3 x 3 matrix A is equal to 5. What is the determinant of -2A?

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Time and time related variables in engineering

Time is the event progression starting from past to present and then, future statistically. The time-related variable is any particular value in relation to time to assess its changes on a specified (XY) plane.