Ref for convergent lom to (Xn)neN ) Xx = lim X cL C1), LER. %3D n→め Strow for any sequen ce of positeve rumbers (Xn)nEN → d >0, na, we get lim m T*K = lim Xn.

Q: Find a · b if Jal = 12, |b| = 4, and the angle between a and b is a/3. %3D Answer:

A:

Q: Find an estimate of the root of the equation: xX - 6x = 0 located in the interval (2,3) using…

A:

Q: At a benefit concert, seven bands have volunteered to perform but there is only enough time for five…

A: Solution

Q: Consider the angle shown below that has a radian measure of 2.5. A circle with a radius of 2.6 cm is…

A:

Q: The daily cost, in dollars, to produce x gallons of handmade ice cream is C(x) = 1.3x + 11. The…

A:

Q: The series (-1)"n²n! 2n n=1 O converges absolutely converges conditionally O diverges diverges…

A:

Q: Suppose that f is a continuous function such that | f(x) dz = -12. Find (*") dr.

A:

Q: 5. Identify the flaw in this reasoning: "The real numbers have a greater cardinality than the…

A: "The real numbers have a greater cardinality than the natural numbers, because every natural number…

Q: Find a matrix P such that P'AP orthogonally diagonalizes A. Verify that P'AP gives the proper…

A:

Q: Let f(x) = 1-1 if 0 < x < 1 if 1<a < 3 %3D for 0<x < 3. At x = 4, the Fourier cosine series for f…

A:

Q: Consider the following Gauss elimination: O 0 1 0 1 0 EA → 0 9 |1 0 0 6 1 -6 9 -2 1 0|A → 0 E,E A →…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin(2t), y(0) = 9,…

A: Solve INTIAL VALUE problem, using Laplace transferoms

Q: ttempt to use the Root Test to decide whether the series converges. L = lim lan| n00 of the limit L…

A: In this question, the concept of convergence is applied. Convergence The feature of approaching a…

Q: Q1. Let R be the region enclosed by the curve y = 3x+e% and the lines x = 1, x = 2, and y = 0. Let S…

A:

Q: Graph the following equations Y = x 2. %3D 3

A:

Q: 12. Consider the very accurate map below. We want to color these six countries so that no two…

A: Solution: a) Using 3 colours it is not possible. First thing we shall observe that a single color…

Q: Find the angle between the vector v=(1,1,1,-1) to the subspace U from the previous problems ал Write…

A:

Q: Evaluate (107/137). You may assume without proof that 107 and 137 are prime numbers. Show all of…

A: Given legendre symbol is 107137.It is calculated as shown below.

Q: Three investors are dividing a piece of land worth $300,000. Each investor's value in thousands for…

A: Sol

Q: A company sell the car batteries for $105 each. They paid $2500 for a licensing fee and will buy…

A:

Q: QIn usual to fol @ Is Co,1 ] is Is Lo D .)

A:

Q: In a bit error nate (BER) mcasurenent scheme, how many bits would I minute, uhen the test signal is…

A:

Q: Q2: Employ fixed-point iteration to locate the root of S(x) = sin ( vx)-0.5 x Use an initial guess…

A: Ans: x= 0.525

Q: show that (0.1)with usual topology is connected

A: Sol

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: nsform of 20 sinc (10(t - 10)

A:

Q: Let f(x) = loge (3 + x)   a) Find f n)(x) ; the nth derivative of f(x) b) Using Taylor's theorem,…

A:

Q: 35.E. Show that the series 1. 1 1 1 is convergent, but that both the Ratio and the Root Tests fail…

A:

Q: Solve the Following linear systems using Causs Elimination X +3y-7%= 2 2X –4y +62 =5 (2 7X +5y +9Z=…

A:

Q: .Construct a truth table for each of the following compound statements. (a) (p^q) → q. (b) (¬p) → (p…

A: Solution:

Q: b). Consider the function f(x.y)=-(x²-1) -(xy-x-1)'. ). Find the critical points of f (x, y).…

A:

Q: 5. List the intervals where f is concave up. 6. List the intervals where f is concave down. 7. List…

A:

Q: Example: Find Lt sint ? Solution:

A:

Q: 3 1 -1 1 tA = [1 B= [0 1 ‚ nd the least-squares solution to the equation Ax = B.

A:

Q: 13.) In each part, use the given information to find the nullity of the linear transformation T. а.…

A:

Q: 6. Given vectors spaces V with bases B and E and W with basis D and a linear transformation T:V→ W,…

A: Sol

Q: Tell whether or not the statement is always true for a particular finite geometry. Statement 3-Point…

A: Given,Statements related to particular geometry in tabular form . To check whether the given…

Q: Find the angle a between the vectors 5 2 and 2 -1 a =

A:

Q: A = {1, 2, 3} B = {a, b, c} What is n(A X B)?

A: It is given that A=1, 2, 3 and B=a, b, c. The number of elements in each set is 3. Therefore, nA=3…

Q: ) Find the following expressions if a = 3i – 5k, b =i+j- 5k, and c = 4i + 9j + 3k. %3D 1. а . b %3…

A:

Q: vative of o = P(1, 1, 1) in t 3 = Z

A:

Q: In usual to @ Is Co,1] Is Lo.

A:

Q: 2. Show that eigenvalues A of the boundary value problem y" + (Ar +a)y = 0, y(0) – /(1) = 0, y/(0) +…

A: Given:   y"+(λx+x2)y=0, y(0)-y'(1)=0, y(0)+y'(1)=0

Q: 2.28 Find a set to span the given subspace of the given space. (Hint. Parametrize each.) (a) the…

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

Q: Calculate the cross product assuming that u X w = (-2, -3, -2) (2u + 4w) × w = {

A: Given u × w = -2, -3, -2

Q: 6) If differentiable functions y = F(x) and y = G(x) both solve the initial value problem dy f(x),…

A:

Q: (a) A hyperbola in standard position has equation 36x2 - 49y? - 100 = 0. (i) Find the vertices and…

A: As per guidelines we experts are allowed to solve only three sub-parts at one time. please reupload…

Q: provide a correct solution for the following

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: +5s+19 (6?+4)(s²+9) Find the inverse Laplace of O a. cos(3t)- cos(2t) -음sin(2) + 음sin(36) sin(2t)…

A:

Q: Give an example of a single sequence that meets all the following criteria, or explain why this is…

A: This is not possible.   Result : every bounded below and decreasing sequence of real numbers are…