Find the centroid of area region bounded by y=1/3x, x=y and x=6 Find the centroid of area region bounded by y=2x, y=-x, y=3

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Q: 3. Determine the Fourier series expansion of the following periodic function: f(t) = { 1 + t₁ 1, t,…

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Q: z²i+xzj+ye² of the sphere x² + y² + z² Given F = 2 [[ S 50 that lies inside the cone z = √x² + y²…

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Q: use the biomal series (x + 1)k = 1 + kx + or || < 1 to approximate [¹ k(k − 1) 2! -x² + k(k-1)(k −…

A: Given : x+1k =1 +kx+kk-12!x2+kk-1k-23!x3+......    x&lt;1 To find  :∫01x42+1dx

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Q: Define the binary operator by: a b = 5ab Find each of the following: a. 40 6 = b. 303- c. 64- d. fed

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A: Given   :  x2y"-4xy' +6y=0 To find : the general solution of the given equation .

Q: An argument is invalid if the conclusion is false when all the premises are nswer (Please select…

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Q: Submit Answer MY NOTES DETAILS ZILLDIFFEQMODAP11 4.2.017.MI. ASK YOUR TE The indicated function y(x)…

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Q: Question No : 11 of 26 Which of the relation defines a function from X= (2,4,5) to Y={1,2,4,6). R1 =…

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Q: Question No: 17 of 26 The nth term of an A. P (Arithmetic Progression) is... Answer (Please select…

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A: This is a problem of Logic.

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Q: 2. Let ([0, 1], L, m) be a Lebesgue measure space, and let A be a nonempty measurable subset of [0,…

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Q: 0 w tivity 3 Chat 283 eams nments B endar 3 Calls Files pps ? Assg 3.pdf Q Search Your status is set…

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Q: Find the general solution of the differential equation ㅠ y" + 4y = 13 sec²(2t), 0 < t <

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Q: Using this equation: dt² + Rdq + ²q = E(t) Solve for the equations of current and charge using the…

A: Given equation is Ld2qdt2+Rdqdt+1Cq=Et Substituting the values given 0.001d2qdt2+100dqdt+11q=9

Q: Find the solution of the differential formula in partial derivatives = x³ sent +1; y(x,t);…

A: Integrate twice with respect to t and then put conditions

Q: Use the method of undetermined coefficients to find a general solution to the system x' (t) = Ax(t)…

A: Given system is x't = A xt +ft Here,  A=5142,   ft = -12-3

Q: Let A be a SPD matrix of order n. Show that (a) aii+ajj ≥2ajj ,1 ≤i, j≤n. (b) ajªjjaj≥0 ,1 ≤i, j≤n.

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Determine the volume of the function f(r,0,z) in a complete…

A: Volume can't negative so neglect negative sign.

Q: Hi I will upvote if right! Please determine if these are linear or nonlinear. Thanks! y(t) = pi-x…

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Q: Suppose we solve the linear system Ax = 2.00 1.00 [ ] x = [ 1.99 1.00 Cz= 1.00 -1.00 Now suppose…

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Q: (3) Solve for x (give your answer as an integer between 0 and 7: 14 · 51 ≡ x(mod7)

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Q: Advanced Math Question

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Q: the Solve the # ODES DOP methodsk f 2-1 PJ 2x +49 y 철 at ² 22 y = 25m²t

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Q: 6, find the general solution of the given differential equation: y" - 5y + 4y = 2et (

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Q: a) x³y" - x²y" + 2xy' - 2y = 0, x > 0, y(1) = -1, y'(1) = -3, y" (1) = 1

A: (a) To Solve: x3y'''-x2y''+2xy'-2y=0, x&gt;0, y1=-1, y'1=-3, y''1=1   (b) To Solve:…

Q: 11. Answer by TRUE of FALSE each of the statements: (i) 4x³ + x² ln x¹ = O(x³). (ii) x³ + 4x + 15 =…

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Q: Solve for the value of “C” on the given differential equation below. Let y(1)=1 (x5 + 3y) dx – 2…

A: We have to solve for the value of “C” on the given differential equation below.  (x5 + 3y) dx – 2…

Q: 1. Let {w₁, W2, W3} be an orthonormal basis for V. Given that v = between v and w₁ is 0 = 60° and…

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Q: Let R be a relation from set A to B, if R is symmetric then its inverse will be...... Answer (Please…

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Q: Advanced Math Question

A: Water is being removed from the tank at a rate modeled by the function W(t)=-2(1.25)t+13. To Find:…

Q: Apply Residue theorem to find the value of the integral siniz² (z+1)²(z-2)' C:lz + 11 = 3.

A: We have to apply the Residue theorem to find the value of the following integral : ∫C sin πz2z+12z-2…

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Q: dy dx 2x = (3y + x).

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.