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Q: suppose we have a 2m long rod whose temperature is given by the function u(x,t) for x on the beam…

A: The given problem is to find the solution for the heat equation partial differential equation with…

Q: dz Suppose z is a function of a and y, and tan Vy2 + #² = 2"¢&v. Solve for dz and dy

A: Solution :-

Q: in a graph what is disconnecting set ? And give an example

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Q: max ac log(c) + a„ log(n) c,n S. t. c+ bon < w(1 – bịn) The solution for fertility is: * (ac +…

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Q: Plane Area in Rectangular Coordinates Find the area bounded by the given curves. Sketch the curves,…

A: This is a problem of Application of Integral Calculus.

Q: 1. Solve by using the method of Laplace transforms: y" – 6y' + 5y = 3e¬*;y(0) = 2;y'(0) = 3

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Q: 2. At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

A: at what point on the line y=b does the line segment from 0,0 to a,0 subtend the greatest angle.

Q: Let A be a diagonalizable matrix, with characteristic polynomial det(AI – A) = (A – c)" for some…

A: Diagonalization of the matrix

Q: 161 n + e 20 n ( 2n + tan (103 n). 00 The sequence is n=1 O divergent as its limit is o0 161 O…

A: The given sequence is ln161n+e−20n2n+tan−1103nn=1∞. Here, an=ln161n+e−20n2n+tan−1103n Now,…

Q: How did he get the second derivative step by step and a clear line please 3 F(x) = 1+e siny x ーX

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Q: 8. A limit exists if both the right-hand and left-hand limits are equal. 9. The acceleration…

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Q: in the space R2 on the field R Prove that everyone M = {(x, y): x + 2y = 0} %3D %3D N = {(x,y): 5x +…

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Q: 3. If we have 80 (identical) tennis balls and 20 identical bags to place them in, how many ways are…

A: Given: We have 80 tennis balls and 20 bags that are identical. Under the following circumstances, we…

Q: 3. Find the number of distinct regular tetrahedral dice that can be made by coloring its faces with…

A: Given a tetrahedron... We should find the number of ways ...so that it can be painted....

Q: Find L(sin? at)

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Q: 1. Obtain the general solution unless otherwise instructed 5. у" + 4y" + 9у' + 10у %3D -24 when x =…

A: The solution is given as

Q: Solve the following differential equation Integrating Factor by Linear Equations:

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Q: II. Military Clock 1. 58 hours after 2300 2. 18 hours after 0900 III. Days of the Week 1. Today is…

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Q: Let p= (1,-1,3), q=(0,1,0), r = (1–1,c). The set {p,q,r} is a basis for I' if ?. а) с %3D3 b) с +3…

A: We know if (p,q,r) forms a basis of R3 then column vectors are linearly independent i.e det ( column…

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

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Q: Which one of the following statements is TRUE sin'n is divergent by the Integral Test n+1 O The…

A: Here we will use integral test for convergent /divergent  to check the series ∑n=k∞an   will be…

Q: Let E be the region that lies inside the cylinderx²+y² = 64 and outside the cylinder (x - 4)2 +y2…

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Q: 4. Consider the figure below. y=4-x Find the volume of the solid generated when the shaded area a.…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the general solution (y, x, C) = 0 to the following ODE dy x(7 — х — 2у) - у (5 — х — у) dx

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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: 1. The point P on the unit circle has coordinates (1,0). For each angle of rotation, state the…

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Q: (D + D,)'u = 0

A: We have to solve given problems:

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

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Q: Solve the following differential equation Integrating Factor by Inspection:  ydx+x(x2y-1)dy=0

A: The given differential equation is                                   ydx+x(x2y-1)dy=0

Q: Show that the function f defined by (x, y) = (1, –1) 22 + y r + y f(x, y) = (x, y) # (1, –1) is not…

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Q: 2. Find the Fourier series expansion of: So. f(z) = sin zr, 0<r<1 and then use it to find the values…

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Q: +3y. Smix

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Q: 2. y" + 4y = cos²x cosʻx

A: Given the differential equation: y"+4y=cos2x To find the solution of the given equation.

Q: The measure of the linear density at a point of a rod varies directly as the third power of the…

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

Q: GRAD, DIV, CURL, V, DIRECTIONAL DERIVATIVE Let f = zy + yx, v = [y, z, 4. - x], w = [y, z?, x2].…

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Q: Linear Programming A. Graph each system of linear inequalities. 1. 2. В. Graph the feasible region…

A: Let the LPP be max z=100x+300y subject to x+2y≤32x+y≤24x,y≥0 Here linear inequalities are…

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

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Q: 1) Find all integral solutions of the linear Diophantine equations 6x + 11y = 41

A: Solution:- As per guidelines I submit first question only

Q: 2. Let A € Mat2x3 (R) be as below: -1 3 7 A = -4 -3 2 Find a (row) echelon form of A. Write down…

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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: 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: : Find the determinant of a 5x5 Matrix -2 7 0 6 -2 1 -1 det A = 3 4 0 -4 -2 2 0 3 -1 1 -4 2 3. 3. 2.

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Q: Consider Ho:µ = 45 versus H1: µ < 45. %D a. A random sample of 25 observations produced a sample…

A: We have to find the solution.

Q: 8) (D + D,)'u = 0 %3D

A: Given  Dx2+Dy2u=0              (1) This is the irreducible homogeneous partial differential equation…

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

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Q: A= 1. 3 4 -1 -1 4 2 0 1 -1 2 -1 3 2

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Q: 1 -5e iwt dt + -jwt | 5e -jwt dt -1

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Q: Use the above formula to write each of the following limits as an integral (a) 53 + n3 lim n00 j3=…

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Q: Solve for the area bounded by the curves. Draw the curves and show computation of POI and…

A: This is the application of the Integral Calculus.

Q: erm for the multiplicity of 2 eigenvalue

A: t used when the matrix is not diagonalisable.