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

A: Diagonalization of the matrix

Q: With the help of principle of mathematical induction, prove that 1 * 2 + 3 * 4 + 5 * 6 +…….+…

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

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

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

A: Solution :-

Q: 2). a). Show that the following ODE is not exact. Find the integrating factor to make it exact and…

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Q: f (1) = 3e" cosh (In 21) in two ways. -2t 7.

A: 7 Given function is ft=3e−2tcoshln2t. We have to find the Lft. Take Laplace transform of both sides…

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: EX. 3 Find the first derivative of the function tabulated below at point 1.5. 1.2 1.5 1.7 0.1823…

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Q: 3. Let f(x) = x (x² +1)32. (a) Evaluate fo f(x)dx using integration by parts. (b) Evaluate f, f(x)dx…

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

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Q: Q4/ Solve the differential equation dy b) = v1+ sinx(1+ y?) when y(0)=1 %3D dx

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Q: 1. (D² – 2D – 3)y= 64xe³x

A: To solve the given differential equation.

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

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

A: The fundamental theorem of finite Abelian groups - " a finite Abelian group is isomorphic to a…

Q: y" + 9y = 40e*; y(0) = 5, y'(0) = -2.

A:

Q: Answer was off by a factor of 2, where does that come from?

A: Where does that factor 2 come from ?

Q: 5. f (t)=-3t*e0.5t +3.8t²e²4+

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

A: We have to solve given problems:

Q: 8) (D + D,)²u = 0

A: Given PDE is Dx2+Dy2u=0⇒Dx4+Dy2+2Dx2Dyu=0                 (1) Since Dx4+Dy2+2Dx2Dy is not the linear…

Q: Find all solutions to the equation. 2 sin?x- cosx=1 Write your answer in radians in terms of T, and…

A: Given equation is 2sin2x−cosx=1. We have to find the all solutions to the given equation.…

Q: Total Product refers to the a. Quantity of Input b. Quantity of Output c. Quality of Input

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Solve the following differential equation Integrating Factor by Linear Equations: dx/dy + xcoty =…

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Q: 161 n + e 20 n 2n + tan (103 n). CO The sequence is n=1 O divergent as its limit is 0 161 O…

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Q: 1. Find the solution of the system of linear equation w+ 2x-y+z- 6 -w+x+ 2y - z = 3 2w-x+ 2y + 2z 14…

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Q: 1.LI/Desktop/calc/5.2.8.pdf 4. Suppose the point 3 4 is on the curve sin x siny =C, where C is a…

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Q: (x-24)_dy + y dxzo

A: We have x-2ydy+y dx=0 This can be written as: x-2ydy+y dx=0⇒x-2ydy=-ydx⇒dydx=-yx-2y…

Q: my" + cy' + ky = F(t), y(0) = 0, y'(0) - 0 modeling the motion of a spring-mass-dashpot system…

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Q: Solve the differential equation Integrating Factor by Linear Equations:  y' = 1 -2y cot2x

A: To Solve the differential equation   Integrating Factor by Linear Equations:    y' = 1 -2y cot2x

Q: (4, 1, –2), v = Compute the indicated vectors. Let u = (0, 3, –4), and w = (2, 4, 5). (a) u x v =…

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

Q: Use the Cayley-Hamilton theorem to find A1, A°, and A“ for the given matrix A. 10 -8 - 4

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Q: れ ポ+パ lim (nj)2 +n4 00+-u j=1

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Q: Use the power series 00 1 1 + x 2(-1)^x^, \x| < 1 n = 0 to find a power series for the function,…

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

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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: 7. What is the eighth term of the geometric sequence the 3rd and 6th terms of which are 5/4 and 10,…

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Q: Show that the function f defined by (x, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x + y is…

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

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Q: b) Find all the roots of x3+7x?+7x+1=D0

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Q: Directions: Approximate the area under the curve and above x- axis using (a) Leit Riemann Sum, (b)…

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Q: dy/dx+4y/x=6x-5 if y=1 and x=1 then C equal -2 2 -1 1 O O O O

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Q: is    S=∫θ=0π4∫r=02 r dr dθ the integral needed to solve the problem?

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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…

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Q: Consider the integral 2 + 6) dx (a) Find the Riemann sum for this integral using right endpoints and…

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

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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)…

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Q: time reading

A: Follow the steps.

Q: In (x + x²) dx

A: To evaluate the given integral.

Q: II. Consider the function g defined by 1 g(1, y) = cos (7IVT)+ log3(r – y) Do as indicated. g 1.…

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Q: find the volume of the solid generated when R is revolved about the x-axis

A: Given that,R is the region enclosed by the curvesy=cosx, y=ex, x=π2The volume of the solid generated…