Q1:- (A) Discuss the convergence of the given sequence : a(n) = cosh ln(n) (B) Evaluate: f dxdy (1+x² + y²) ² -80

Q: 2. Find the convergence interval and radius of the series: √n (2x+5)* n=1

A:

Q: An account bearing interest at 6 percent compounded quarterly was established 15 years ago. The…

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

Q: (d) 7 3 6 دیا -2 -4 0-2 -2 -3

A: To obtain the eigenvalues and eigenvectors of the matrices.

Q: Use the divergence theorem to calculate the flux of the vector field F(x, y, z)= -3ry-lysj-5zak…

A: Given vector field, F→=-3xyi^-1yzj^-5xzk^ we need to calculate ∫∫SF→.dA→ using divergence theorem…

Q: Question 1: Doing 2 DFTs in one go Consider two length N vectors with real numbers in them-a, y ERN.…

A: Here, C,X and Y be the DFT of c,x, and y.

Q: Find the general solution of the following DE. xy² (y')² + y(x - 1)y' - x³ = 0

A:

Q: Find the inverse of this matrix

A:

Q: upper bound for Erland |Es

A: Trapezoidal rule Tn=∆2∑fxn-1+fxnn Simpson's rule Sn=∆x3fxo+4fx1+2fx2+....+4fxn-1+fxn where ∆ is…

Q: Let C(x) be the statement "x has a cat." let D(x) be the statement "x has a dog," and let F(x) be…

A:

Q: Find the force in the strut AB, the horizontal component at the pin C and the vertical component at…

A: Given, 450 lb force = 450*4.44 =1998 Newton 1350 lb force =1350*4.44 = 5994 Newton 1 ft =0.30 m 2…

Q: Find the missing value that makes the following a factorable trinomial. Explain the process you used…

A:

Q: 3. Prove that sin h| ≤h for all heR.

A:

Q: I. Evaluate each determinant. -5 -3 -4 3

A: The determinant of given matrix -5-33-4 is  -5-33-4 =(-5 x-4)-(-3 x 3)=20+9=29

Q: 1. A student listed 10 of his classmates' scores: 34, 42, 27, 34, 45, 32, 31, 44, 33, 31 a.…

A: Mean: Mean is the average of a given data set.             i.e. to find the mean of a given data set…

Q: Find the general and Singular Solution of the Following differential equation y-2px + yp²=0

A:

Q: L-1 | 53 5 = 3s +1 3 – s2 + s - 1

A: Find the inverse Laplace transform of 3s+1s3-s2+s-1. Rewrite the denominator:…

Q: x3 - 3x²y = c =

A:

Q: Please answer the question below with complete solution and graph The task is to utilize a triple…

A:

Q: (a) If the eigenvalues of the n x n matrix A are λ > λ > 13 ...λ = 0 show that the eigenvalue λ,,…

A: Here, we need to prove that Eigenvalue can be found.

Q: Derive in detail the trapezoidal rule for definite integral f(x) dx = bª[f(a) + f(b)] - (b-a)" f"…

A:

Q: 285. Find the scalar equation of the plane that passes through point P(-1, 2, 1) and is…

A:

Q: Prove using Mathematical Induction that: The sum of the squares of the first n positive integers is…

A:

Q: (-1)":nEN (a) Find the infimum and supremum of the set S= = {2-(-1)" (b) Prove or disprove: If a set…

A: Here, we need to find infimum and supremum of given set.

Q: 5. Determine the trigonometric Fourier series expansion of the given signal below. x(t) A -2 2 0

A:

Q: Show that the force F = (y^²2² - 6xz² ) ₁² + ²xyz²³ j^² + (3 xy² z ²-6x²²Z) k IS Conservative, hence…

A:

Q: [D/HD] A different PDE has a full general solution is of the form which of the following is a…

A:

Q: 2n+1 in² (n+1)² 00 Q:- (A) Find the sum of the following series : n=1

A: Given series is ,                 ∑n=1∞2n+1n2(n+1)2 We find sum of the given series .

Q: points in a certain category, enter NONE.) x³y" + 5x²y + 2y = 0 regular singular points X NONE…

A:

Q: 2. Evaluate da da dx a. "LIVE" /1+√ √ √² = √² Sa b. ST. c. -

A:

Q: can you summarize the final asnwers?

A: I am summarizing all answer together

Q: 36. Divide the polygon into triangles to find the sum of its angle measures. A. 720⁰ B. 4 C. 540° D.…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 2. It is possible for two angles of a triangle in the hyperbolic plane to each have a measure of 2.

A: Solution

Q: Question 2 Use Euler's method with step length h = 0.5 and determine an approximate value for y(3)…

A: Solution: Given,  y′= 2x+1 5y4+1   y(1)=0 h=0.5 Euler method: 1st iteration:…

Q: Solve the exact differential equation ( - 2 sin(x) – y sin(x) + 4 cos(x))dx + (cos(x))dy = 0 where…

A:

Q: suppose Cn is a segn of real numbers such that lim Ich exists and is non-zero. If the ROC h→0 of the…

A:

Q: Q4) (a) Use separation of variables method to solve the partial differential equation: d'u du + = U…

A:

Q: TRUE or FALSE: 1. There is no integer n such that 4 | (n^2-2) 2. The GCD of all prime numbers is 1.…

A:

Q: 1. Solve the following Linear Systems of Equations by Gaussian Elimination: 1.) 6x + 2y4z = 15 -3x -…

A:

Q: Let Z -[₁ 2i -2+i -3i 3-2-1-i] 2+1] and -2 1-4 and W-1+34 2-3. Then, solve fo

A:

Q: 1. Let P (x) be the statement "x = x²." If the domain consists of the integers, give True/False…

A: We have given a statements ,  P(x) : x = x2 Here , domain consists of the integers. That is , x ∈ ℤ…

Q: Obtain approximate value of y at x=1.5 for the differential equation: y'-2y+3ex, y(0)-1, using Runge…

A:

Q: Find an LU-factorization of the coefficient matrix to solve the linear system: show solutions. X + z…

A: We have to Use LU-Factorization of the coefficient matrix to solve the given linear system.

Q: TRUE or FALSE: 1. If g = (a, b) and a = gc, then (c, b) = 1 2. If (p, q) = 1 and (q, r) = 1, then…

A: GCD is the greatest common divisor of two or more numbers is the greatest common factor number that…

Q: A) B) Solve the initial value problem Solve the differential equation y + 10y +34y = 0 dy e2x dx…

A:

Q: Suppose that in a class, there are n many boys and n many girls. Among these 2n many people, we will…

A:

Q: 2. The heights of Susa, Ada, and Rhea were 155 cm, 158 cm, and 161 cm, respectively. What is the…

A: Given in question, The heights of Susa, Ada, and Rhea were 155 cm, 158 cm, and 161 cm, And mean =…

Q: Determine the values of r for which the differential equation - y = 0 has solutions of the form y =…

A: Number of values of r

Q: Suppose that in a class, there are n many boys and n many girls. Among hese 2n many people, we will…

A:

Q: If A = B = C = are the coordinates of a triangle, compute: A с B length of AC units length of AB…

A:

Q: PART#A Use Stokes' Theorem to find the circulation of F = (zy, y, z) around the boundary of the…

A: