Q/show the Converg ence or the divelgence of the follo owing Series: Sinn 2.

Q: (V3 –3) V5 +1 Without using a calculator, express in the form p/5+q,where p and q are integers.…

A:

Q: If W is an invariant subspace for T, t Thus, for each a in V, the conductor S

A:

Q: Determine if the events below are mutuall 1. Tossing a 4 or a number greater than 3 if one die is…

A: To determine if the events are mutually exclusive or not mutually exclusive: 1. Let Event A: Tossing…

Q: Fix k, n E N with n > 2 and k <n – 2. Prove that: | )-(".) · ) (:) ) (^) = (":") 2 + k 2 n – 2 n n +…

A:

Q: Find the steady-state, solution of the spring-mass-dashpot - Fig. 70 (in the textbook) - when m = 4.…

A: Given that,m=4, c=4, k=17Driving force=102cos3tThe spring-mass differential equation is given…

Q: An airline requires that the total outside dimensions (length + width + height) of a checked bag not…

A:

Q: Test for an extremal of the functional π 2 F[y(x)] = |´(y² y²)dx, y(0) = 0, y = 1 2

A:

Q: Suppose there are ten Middlebury College students in a room. One of those ten is friends with all of…

A: We are given the following information, There are 10 students in a room. One of them have…

Q: 6 Use long division to divide. a) (x³ – x² + 2x – 8) ÷ (x – 2) b) (æª – 4.x² + 6) ÷ (x² – 1) -

A: Solution

Q: 3. The GCF of any two distinct prime numbers is 1. (Distinct they are not the same number) means

A:

Q: 8. Use divisibility tests to decide whether the given number is divisible by 2, 3, 4, 5, 6, 8, 9,…

A: Please  comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: (1 -5<t<0 is The Fourier Series expansion of f(t) =11+t 0<t<5 (-1)" nnt nnt sin 22- f(t) [[(– 1)" –…

A:

Q: Prove that for any integer x, if x mod 3 does not divide 0, then (x2 −3x + 1) mod 3 = 2.

A:

Q: a. Show algebraically that f(x) =2 x - 9 is an even function. b. Solve the equation algebraically…

A:

Q: Given the initial conditions y(1)=1 and y'(1)=0, estimate y at x=1.2 using a stepsize h=0.1. Use…

A:

Q: QUESTION 23 For the directed graph shown below, determine the reachabi ity matrix. O. O a[110 1 1 10…

A: Solution :-

Q: Prove that f (x) = x-12 is : (i) not sectionally continuous in every finite interval in the

A:

Q: hellllp answer for me the 5 que

A: 1. Given, the system of the equations                    x2+2x-y+1=0…

Q: Solve the initial value problem from t = 0 to 2 when y(0) = 1. dy = yt³ – 1.5y dt Using the methods:…

A: The initial value problem from t = 0 to 2 when y(0) = 1. Solving using Analytically and fourth order…

Q: Question vector space V such that v – 9v1 - 3v2 = 0. Then, v belongs to span{v1, v2}. , If v, v1, v2…

A: Solution :  Given that v , v1 , v2 are 3 vectors in a vector space V such that  v - 9v1 - 3v2 = 0.

Q: 3 1 4 1 | |(2x – 4y)dydx (2х — |x²ydxdy 3. 4. - 1 2 0 2π π |(sinx + cosy)dxdy 5.

A:

Q: Prove that the homogeneous integral equation

A:

Q: 18 Compounded continuously formula: A = Pert $50,000 is compounded continuously at interest rate of…

A: Compounded continuously formula

Q: If x, y and z satisfy the system of equations below: 5х — у + 2z = -2 —5х + 2у — 2z = 2 5х — у+5z =…

A:

Q: I. Find the probability of the following events. A. A number is drawn from the set {1, 2, 3, ..,…

A: Solution 1) There are twenty numbers in the set. Out of which 10 even numbers and 10 odd numbers.…

Q: 15. A letter is chosen from the English alphabet. What is the probability the letter is a consonant…

A: There are 26 English alphabet.Out of which 5 are vowels i.e. a,e,i,o,u. and all other 21 are…

Q: Q:Determine a solution for the pDE, and canjecture the form of the general Solution マン fnbtれてhiy h-

A: Given, homogenous Partial differential equation  uxx-4uyy+2ux+4uy=0 Substitute uxx=D2u, uyy=D'2u,…

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series s- ( ) 1 S = n + 1 n +2…

A:

Q: For the linear function y = f(x) = 4x + 5: df at x = - 2. dx a. Find f'(- 2) b. Find a formula for x…

A:

Q: Find the moving trihedral and the curvature at any point of R(t) = (t²,– cos 8t, sin 8t). -

A:

Q: green balls. 8. The ball is colored red. 13 9. The ball is colored blue 10. The ball is colored…

A: A ball is picked randomly from a box containing 4 red, 5 blue and 6 green balls .

Q: 1 6. Find dx. V2x2 -8x +2

A:

Q: A fair die is tossed three times. Find the probability of getting: three 4s. . three 5s. three 4s or…

A: A fair dies is tossed three times As a toss does not affect the outcome of another toss  The events…

Q: 3. Let d 2 2 and let P(z) = ao + ajz + ... + a4z“, ad # 0 be a polynomial with real coefficients…

A: Please note that I am able to see only one part, namely part (a). So, I can solve only part (a) for…

Q: Find the square root of 2 (up to 9 decimal places). Using Bisection Method

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: Let C2 be the curve defined by R(t) = (t² +t + 3, 4t – 5, 2+ t – t2), t e [0, 1]. %3D | (x + y+ 2)…

A:

Q: M. 50 140 o oo OOO

A:

Q: (-1 0 1 Consider matrix A = |-7 1 1 2 4 1 (-2 0 5) Calculate det(A³) [Please enter your answer…

A: Find determinant of A by taking first row. After that we will get a matrix of 3×3 find determinant…

Q: Find the radius of convergence, R, of the series. (-1)" 7" 00 Vn n = 1 R = Find the interval, I, of…

A:

Q: a. Create a graph that models the bordering relationship among the states shown in the map. Use…

A: The path of the graph that visits each edge exactly once in a connected graph is called the Euler…

Q: on X = {a,b,c} Y = {u,v} . 6. Consider the topology 7, = {X,ø,{a}.{b,c}} and topology 1; = {Y,ø.{u}}…

A:

Q: 1 dx. V2x? -8x+2 6. Find

A: The integration formula for the integral ∫1x2-a2dx is given by ∫1x2-a2=ln|x+x2-a2|+C. First,…

Q: Determine in polar form the three roots of -27/2+ j27/2 O none of the choices 0 3V2 2, 3V2 2플ㅠ, 3V2…

A:

Q: Please provide justified answer asap:::: Show that n is odd if and only if n^2+4n+1 is even.

A:

Q: Given f(x) = 3 cos x² + 5x – 5. (a) Prove that f(x) = 0 has at least one root in the interval [0, ].…

A:

Q: Answer the following questions for the graph G below: (1) Find a vertex cover for G. (2) Is V={a, c}…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Example:- Solve the equation Н. W. (3y + e*)dx + (3x + cos(y))dy = 0 dy 2) 1+y? +3x2y 1-2ху-х3 1) dx…

A:

Q: Given f(x, y, 2) = In(x² + y? + z?), show that 2 dy? x² + y² + z²

A:

Q: Q5b A European call option with strike £60 costs £6. A European put with the same strike price and…

A:

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 260 meters.…

A: