7) Find the centroid of the region in the first quadrant bounded by the x-axis, the parabola y = 2x, and the line x + y = 4. 8) Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = y

Q: A company estimates that the production cost function of x product is giving the following function…

A: Note: “Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: b- Using the variation of parameters, find the general solution of the second order differential…

A:

Q: 3. Consider the following formula f(x) = lim n-0 gn +1 Let D = {r E R : f(x) E R}. Calculate f(r)…

A:

Q: 2. Find the Fourier series expansion of: So, 1(x) = 10, sin rr, 0<r< 1 and then use it to find the…

A: Solution :-

Q: At 12:00 p.m. a tank contains 150 g of salt dissolved in 8 L of water. Pure water begins flowing…

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: Prove that 17 is the only prime number of the form n°- 64.

A:

Q: Solve using Lagrange Multipliers, final answers should have 4 decimal places. Find the maximum and…

A:

Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

A:

Q: a) Determine whether the series (-1)"n² is convergent, n3 + 3n + 1 n=1 absolutely convergent or…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 1. (D² – 2D – 3)y= 64xe³x

A: To solve the given differential equation.

Q: se Gramers rule to 2z = 3 %3D

A:

Q: d) Consider the weighted voting system [34: 10, 10, 10, 10, w]. Find all positive integers w which…

A: Here three P1, P2, P3 , and P5 can group together and reach the quota if the weight of P5 is 4

Q: Q1: Determine the coordinates of point N (zero, ?, ?) located on the line AB where: A(-4,5,6) B…

A:

Q: 1. a) Find a linear transformation L : R³ → R³ whose kernel is spanned by the set {{:) (}} S = 6)…

A:

Q: ploy Crout's decomposition to solve the system. 5x1 – x2 = 9 -x1 +5x2 – x3 = 4 -x2 + 5x3 = -6

A:

Q: 4. Find the centroid of the region bounded by graphs of y = 4x – x², y = 2, and r = 0.

A: As per guidelines we experts are allowed to solve one problem at a time. Please reupload the fifth…

Q: use the Euclid's algorthim to find the inverse for 76 mod 83

A:

Q: Solve the initial value problem (3+x*)y" + 4y = 0, y(0) = 0, y (0) = 12. If the solution is y = co +…

A:

Q: find general and particular solution of differential equation y" + 2y' + 5y = 0 with the given that…

A: Solution:-

Q: solve the initial value problem x''-4x'+4x=4e^2t ; x(0)=-1, x'(0) = -4

A:

Q: V=R Prooflthat Nisavectors sPoe

A: Here we use the definition of vector space and it's axiom to prove the question

Q: Find the solution of the following Differential Equations 9) y"-y'-6y 0, y(0) = 6, y'(0) = 13.

A:

Q: he differential equation using Bernoulli equation x dy/dx + 6y = 3xy4/3

A:

Q: Exercise 2 Let F be a field and let A E Mxn(F) be a diagonalizable matrix. (a) Let k2 1. Show that A…

A:

Q: Definition: The AREA A of the region S that lies under the graph of the continuous function f is the…

A:

Q: -24 5. y" + 4y" + 9y' + 10y = when x = y = 0, y' = –4, y" = 10 %3D

A: To solve the given differential equation.

Q: { 2) \a,b e R}. Let W = Decide whether W is a subspace of M22. Give reasons for your answer.

A: This is a question of vector space.

Q: Solve the following differential equation Integrating Factor by Inspection: 1. xdx+ydy=(x2+y2)dx

A: Given: xdx+ydy=(x2+y2)dx

Q: 4.1.3. (-) Let G be an n-vertex simple graph other than Kn. Prove that if G is not k-connected, then…

A: Given: Let G be an n-vertex simple graph other than Kn. Prove that if G is not k-connected, then G…

Q: 3) Find the volume of the solid under the plane z = x- y and above the region bounded by X = tan y,…

A: If is a bounded rectangle or simple region in the plane defined by and also by  andis a nonnegative…

Q: Q3: Construct a 3rd order Lagrange polynomial of the function f(x) = Inx.cosx where x e [1, 4]. Then…

A:

Q: 4.1.14. (!) Let G be a connected graph in which for every edge e, there are cycles C1 and C2…

A: The given question is related with graph theory. Given that G is a connected graph in which for…

Q: [5] Use the Milne-Thomson circle theorem to find the complex potential w(z) when the flow takes…

A: Solution :-

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z %3D subject to 2²…

A: Given function to maximize is f(x,y,z)=4x+2y+z subject to x2+y+z2=1 we can write it as…

Q: Q2/Using inverses to solve the equations: 4x1 + 5x2 + X3 = 2 X1 - 2x2 - 3x3 =7 3x1- X2 - 2x3 =1

A:

Q: 4. Is the sequence in Problem 3 arithmetic, geometric, or neither? (a) Arithmetic (C) Neither (b)…

A:

Q: 4) The curver= V1 + sin20,

A: Solution :-

Q: 7. Write the given system in matrix form: x' = (2t)x + 3y y' = e'x + (cos(t))y %3D

A:

Q: h=0.001

A: Follow the steps.

Q: Let E Os 0s n, 0s zs 1, 8Vzs rS 8. Compute

A:

Q: in a graph What is depth-first search ? And give an example

A: Solution:-

Q: 3. Let n > 1 be an integer, and let J : Pn → Pn+1 be the indefinite integration transformation on…

A:

Q: Consider the graph as shown in figure and determine the following: Pendant vertices, pendant edges,…

A: 1. Pendant vertices are d,e,f,g Pendant edges are ad edge,eb edge,fb edge,gb edge, Odd vertices are…

Q: 1241 + 245x2 + 35x3 + 24x4 = 24 %3D 356x + 24x2 + 35x3 + 75a4 = 2 24x1 + 56x2 + 35x3 + 67x4 = 47…

A:

Q: ollowing formula f(x) = lim n-o x" + 1 R: f(x) € R}. Calculate f(x) for all a E D and determine

A:

Q: Solve the following differential equation Integrating Factor by Linear Equations: dy/dx = 1/x+y2

A: We have given a differential equation, dydx = 1x + y2 ⇒ dxdy = x + y21 = x + y2 ⇒ dxdy = x + y2 ⇒…

Q: 1. Using the Pappus Theorem and the fact that the volume of a right circular cone with radius r and…

A: As per company rule i am solving first one. 1. Draw the diagram as per given information, From the…

Q: Find a parameterization for a line passing through the points (1,1) and (5, 13) O x = t, y = 3t-2 O…

A:

Q: Solve the differential equation using Bernoulli equation dy/dx + (1/3)y = 1/3(1+3x)y4

A: We have given a differential equation, dydx + 13y = 131 + 3xy4 This is Bernoulli differential…

Q: Ise integration by substitution or integration by parts as appropriate to evaluate 2 Axsin (Bx) dx…

A: