Explain Perron-Frobenius Theorem.

Q: The Newton Raphson method is also called as O a. Secant b. Tangent method

A: Newton-Raphson Method: The Newton-Raphson method  is a way to find a good approximation for the root…

Q: 3.) Prove (cA)" = cCA) %3D

A: Let A be a m×n matrix so A=(aij)  1≤i≤m and 1≤j≤n ie A has m rows and n columns. By AT we mean…

Q: State the theorem of Arc Length.

A: State the theorem of Arc Length.   The arc length is x360°2πR. here R is the radius of the arc and x…

Q: 3) Show that the tangent(45°) = 1. Let "u" = 22.5°, use calculator %3D

A:

Q: ?, R(A)IN(A*)

A:

Q: Section 3.4-The product rule and Quốtiént rule In(x) Differentiate: Y dy Preview %3D dx

A: Given: y=ln(x)x9

Q: Find the first and second deriva tives sp dt

A:

Q: det(A) Show that det(AB-') = %3D det(B)

A: Consider, Let A and B be the two n×n matrix, Now Consider, detAB-1 We know that the theorem, Let A…

Q: Convert the differentral equatim into e S and Save nhe System: (20-70-4y)%3D0

A:

Q: I show that A= Hermitian

A: As per bartleby guidelines, for more than one question, only 1st one is to be answered. Please…

Q: 8- 1 į ult1)}

A: We have to use integral formula.

Q: alue of the pur C: |z| = (:-1)(z-

A:

Q: gion enclosed by y

A:

Q: o. Arctan (z, +z,) p. Arcsinh (za - z,)

A:

Q: If h(z) = arcsin(2)(4z + 3), find h'(z) =

A:

Q: Laplace's equation reads vo = 0 %3D True False

A: The partial differential equation ∇2ϕ=0 is known as a Laplace's equation.Then ϕ is called harmonic…

Q: Find the d. c. of from definition.

A: Introduction :

Q: Find (1+i)10 using DeMoivre's Theorem

A:

Q: defined by ф Kerф %3D (1,-1] Kerø = {i,-i} Kero = {i,1} Kerф %3D (1,-1,1, -)

A: Option (d) is correct.

Q: y Verify Euler's theorem for u = x' In

A:

Q: Prove that: sec a + sec(120° +a)sec(120° – a) = –3 sec 3a

A: To prove that  secα+sec(120∘+α)sec(120∘-α)=-3sec3α

Q: %3D Bi'

A:

Q: find the values of c that satisfy Rolle's Theorem

A:

Q: 4t3 + 2t? + 3, t20,

A: Given:  S(t)= 4t3+2t2+3,     t≥0 Velocity: if S(t) is displacement then the velocity of the particle…

Q: 2. (– 13 + 3i)31

A:

Q: A fence is to enclose a rectangular possible from with area of 400 square meters if P(x) is the…

A:

Q: Prove that d (sec"x)= 1.

A:

Q: 3. Prove the pythagorean Theorem

A:

Q: Find the roots of 5sin^2x-8cos^5x=0, x_0=0.5, using Newton method

A: Concept Used: Newton Method xi+1=xi-f(xi)f'(xi+1) Consider 5sin2(x)-8cos5(x)=0So…

Q: Construct a logarithmic spiral using golden ratio triangles with isosceles side of length 3 units

A: To construct a logarithmic spiral using golden ratio triangles with isosceles side of length 3…

Q: What is Lagrange's theorem?

A: Lagrange theorem is one of the central theorems of abstract algebra. It states that in group theory,…

Q: Show that if, in using the Laplace development, you accidentally multiply the elements of one row by…

A: A 3×3 matrix a11a12a13a21a22a23a31a32a33.

Q: use Laplace trans form to solue:-

A:

Q: (a) /3yin In (g) dy

A: First remove the constant and then substitute the formula by integrating by parts and then simplify.

Q: What is Rolles Theorem and how do you find "c"?

A: What is Rolle’s Theorem and how do you find c

Q: When a particle is located a distance meters from the origin,a force of cos  ( pie x / 3 )newtons…

A: Given: To find the work done by a particle when moving from x = 1 to x = 2, the formula is given…

Q: 1. (10 + 7i )®

A:

Q: 2) (section 6.1) Find the length of the small arc formed by the intersection of the unit 1 circle a…

A:

Q: Find the first two moments about origin.

A:

Q: Briefly discuss the origin/history of De Moivre's Theorem.

A:

Q: Find first and second fundamenta! Texm U-V e Cos 2sin U-V of

A:

Q: Theorem 5 there is auniqe Reul for X=2 Sit X ER

A:

Q: Find the Laplace trans farm Fis) = 4 (5+4)²

A: Given

Q: Why is it called the sandwich theorem?

A: If we have three sequences fn,gn, and hn and limn→∞fn=L=limn→∞hn then limn→∞gn=L.

Q: Can you explain a definition of Thales' theory and give me some examples?

A: The Thales theorem states that :The diameter of a circle always subtends a right angle to any point…

Q: Derive the De Moivre's Theorem?

A: The De Moivre’s formula or De Moivre’s Theorem states as: cosx+isinxn=cosnx+isinnxwhere i is the…

Q: what is a phythagoras theorem?

A: Pythagorean Theorem has a right angle triangle.

Q: Explain in your words how the Laplace transform is applied to solve a system of linear deferential…

A: The Laplace transform is an integral transform. The Laplace transform is mostly useful in solving…

Q: Explain the fundamental theorem of albenra?

A: To explain: Fundamental theorem of Algebra

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.