Evaluate the limits: lim (cosx)cor*x 13. Ans: e12

Q: Let k and n denote two positive integers. It is known that y = 2022xek* is a solution of the…

A:

Q: 5. Use Taylor's method of order two to approximate the solution for each of the following…

A: According to rule of bartleby we can solve only 1st question or three multiples of 1st question if…

Q: The series solution for the the differential equation y"+ xy' + y = 0 is of the form o C," has…

A:

Q: B3: Consider the matrix: 1. 3 A =-2 -3 -3 2 -1 -1, a) Find the eigenvalues of A. For each eigenvalue…

A:

Q: It is known that Yp = a cos 6x + b sin 6x is a particular solution of the differential equation y" –…

A: Given differential equation is y'' - 13y' + 36y = 3sin 6x

Q: 7. Fill in the blanks An object starts from rest from its starting position and moves along a…

A:

Q: Use Teller's method to Solve the differential equation y-X JJ when h=0-2 s y(1)=2 Use The fifth rank…

A: We can solve this using Taylor method

Q: dy Sketch the vs. vs. y graph. dt

A:

Q: Find the critical points of the functions below and classify them as relative minima, relative…

A:

Q: is transformed to the diagonal form D= 1"'AT, where h b The matrix A= %3D cos 0 sin0 T= -sin 0 cos0…

A: Given matrix is A=ahhb and diagonal matrix is D=T-1AT where T=cosθsinθ-sinθcosθ Now…

Q: Laplace equation is called a harmonic function. Let the functions u = u(x, y) and v = v(x, y) be of…

A:

Q: -- er -7a +1= 0. 12. Find the positive root of x +2 In x-4 0. me ck

A:

Q: Use Teller's method to solve a differential equation y'=xv/y and when h=0.2 У(1)-2 Use the fifth…

A: Given differential equation is y'=xy with initial condition y(1)=2 Step size is h=0.2 Formula for…

Q: 1 d 1 d a a det 1 = -5, and det b = -1, e e 1 f 3 f then a 2 d det b 2 and e 2 f. a 1 d det b 4 e 7…

A:

Q: 1. If you want to have $60,000 in 8 years, how much do you need to deposit in the bank today if the…

A:

Q: Find the general equation of the plane perpendicular to the line z – 2 y + 4 1- x = 3 and is 3…

A: We have to find the equation of plane.

Q: Consider the initial value problem y' = 2y°, y(0) = Yo- For what value(s) of yo will the solution…

A:

Q: Solve both the differential equations. 1) (y? + 1)dx + (2xy + 1)dy = 0 dy x²+y² 2) dx 2хy

A:

Q: 5 6 0 4 0 0 0 0 -1 -2 7 3 A = (2) 1 1. The matrix A can be decomposed using partial pivoting as PA=…

A:

Q: finds

A: According to the definition of the definite integral ∫abf(x)dx=F(b)-F(a), where dFdx=f(x). The…

Q: Des quantités x , y , z et t satisfont z = f (x, y) , x = g(t) et y = h (t) . %3D Sachant que g(5) =…

A:

Q: Evaluate the sum k=0 by following these three steps: -1 Differentiate the Maclaurin series of (1 –…

A:

Q: 7s2 + 72s + 180 Consider the function F(s) (s + 5)(s² + 12s + 40) Find the partial fraction…

A:

Q: H.W 1. Find the centre of mass of a thin plate of density & 3 bounded by the lines x 0, y = x, and…

A: Centre of mass of bounded region

Q: Question 1 Question 5 Find the solution. (4D4 - 4D³ - 3D² - 2D + 1)y = 0. Find the solution. (D³ -…

A: 5 Therefore the correct option is (B)

Q: Find the general Solution of the following differential equation dy dx2 +12 +3by-72 xe 4e xp

A:

Q: Sketch the curve x = 3sin?t, y = 4cos?t (0<t <÷) by eliminating the parameter, %3D and indicate the…

A: Introduction: When a function y=fx can be expressed as x≡xt,y≡yt by introducing a new variable t,…

Q: The characteristics of local rings is either 0 or prime.

A: Let R be a local ring (with 1). Suppose char R = n ≠0. Let, if possible, n be divisible by two…

Q: Let there be the random vector Z E R"m Prove that E (||Z||) = tr(E[ZZ"]) %3D From the expression…

A: As per the question we are given a random m dimentional vector z , and we have to prove :…

Q: 3. A developer sells a small lot that he had owned for 320,000. He deposited the money into an…

A: The formula we need to use here is Amount = P1+rnnt, where P is the principal, t is the number of…

Q: Solve for remaining parts of the given right spherical triangles below. Given the right spherical…

A: note : As per our company guidelines we are supposed to answer ?️only 3 sub-parts. Kindly repost…

Q: Who was the Winner by the HARE METHOD? (AJB) = 5, (BJA) = 4, (JAB) = 4, (BAJ) = 2 A-Amber B B- Bill…

A: Given: AJB=5, BJA=4, JAB=4 and BAJ=2   To determine: The winner by Hare Method.

Q: Let f(x) = 1/[π(1 + x2)], −∞< x < ∞ be the pdf of the Cauchy random variable X. Show that E (X) does…

A: Improper integral

Q: Q5: Find the eigenvector and eigenvalue for [2 0 1] B = 0 1 0 Lo 2 1. A = 13

A: 5 Given matrix is  A=4132. We have to find the eigenvalues and eigenvectors of the matrix A. The…

Q: 111111 is prime. Prove that, in any radix b, The number 11111 (11...1), can be prime only if the…

A: As per the question we have to prove that the number 111...1 containing n number of 1's will be…

Q: Solve y(x) = x² + 6 S,(x + t)y(t)dt by method of Neumann series X).

A: We are given an integral equation which we have to solve using method of Neumann series.

Q: 2 OSolvethe equation Flx=2x+3X-2 start withX-0-5(use Iterotion method)

A: Here we are going to use Newton-Raphson iteration method

Q: Solve the system of equations by substitution. 2x + y = 18 %3D y = 4x %3D

A: We have to Solve the System of linear equations by Substitution Method.

Q: Compute the total cost per year of the following pair of expenses. Then complete the sentence: On an…

A:

Q: 11. Find the positive root of x - 2 sinh x +1 = 0.

A: We have to find the positive root of x²-2sinhx+1=0 The formula for finding the root of equation by…

Q: By using the substitution u = x3", find nx3n-1e + 8) dx where n is a constant. Hence, evaluate "(exn…

A:

Q: Gaussian Elimination x - 2y + z = 0 2x + y - 3z = 5 4x - 7y + z = -1

A:

Q: Consider the IVP: x" + x = 4et ; x(0) = 1, x'(0) = 3. Find the general solution. A x(t) = 2e¬+sin2t…

A: Given differential equation is x'' + x = 4et with  x(0) = 1, x'(0) = 3

Q: Given the function 5x – 8 x 0 Calculate the following values: f( – 1) = f(0) = f(2) =

A:

Q: 3) s) Determine the highest real root of f(x)=3x' +11,8x -17,8x-6 a) Graphically, b) Fixed-point…

A:

Q: 3t + 9y = 2tyss %3D

A:

Q: 9. Fill in the blanks An animal population N(t) is modeled by the differential equation = 0.00005N(N…

A:

Q: (D2 -4D +7)y = 0 A y = e²"(c,cos/2x+c,sin/2x) COS y = e2"(c,cos/3x+c,sin/3x) В © y = e (c…

A: 1. Given differential equation is (D2-4D+7)y = 0 Here Auxiliary equation is D2-4D+7 = 0⇒ D = 4 ± 16…

Q: Let f(x, у) %3D 7у — 8х + 2ху+ x3 — у?. a) Find the gradient of f at the point (1, –1). b) Find the…

A:

Q: 4) Find intlection points ot the dollowing tunetions. X-1 X-2 X+1 .

A: