1 L-1 (s-1)(s-3)(s-4). ROC: 1

Q: 7. S(1)=3e cosh (In 2r) in two ways.

A:

Q: True or False. Show your proof. X[n,0) → 0 in L'(R)

A:

Q: (x2 – 1)y" – 2xy' + 2y = 0 - tion ofS the o uation

A:

Q: Solve: L{tet sin 3t} O (18s^2 - 6s + 36) /(s^2 + 2s +10)^3 O (18s^2 +36s 36)/(s^2 +2s +10)^3 (18s^2…

A: Solutions

Q: 2en cos 2t s+ 2 Option 2 None of the choices 2s s2 -2 s2 -2 O Option 5 Option 3 2s s2 +4

A: Given :2eln cos2t

Q: 21 Solve in terms of Besselis Function, 2 11 the ODE: x² + xy + (x³²+ =)=0 let Z=Lnx

A:

Q: Find L-1. by convolutions. l(s-1)².

A:

Q: 10. f(1) = –0.5 and f(n) = f(n – 1) – 0.5 for n>2 %3D - -

A:

Q: An investigator arrives in a crime scene where a dead body of the victim was found. He arrives at…

A:

Q: 3 sint dt O F(1. 25) + f(1. 75) + f(2. 25) + f(2. 75)] O f(1) + 4f(1. 5)+ 2f(2) + 4f(2. 5) + f(3)]…

A: Solved below

Q: Find the linearization of y = eV3x at x = 64. (Use symbolic notation and fractions where needed.)…

A: Solution: The objective is to find linearization of the given function

Q: Find sequences (xn) and (yn) so that xn - Yn 0 and yet does not converge to 1 Yn

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: (2n+1)! (x-2) n=0

A: We have to find the radius and interval of convergence.

Q: (4n². En=1 2 - 2n + 6, - limit comparison test -1 (8,² + n – 8) 7

A: The given series,      ∑n=1∞4n2-2n+68n7+n-8

Q: What are the critical points of sin(x2-1), at the closed interval [-1,1]?

A: Given: The critical point is a funtion is the point where the derivative of the funtion is zero.…

Q: kx 4+x² If k > 1, evaluate O ka -In|x² + 4 +C 2 Okx -arctan (2x) + C 2 Ok In(x² + 4) + C O arctan…

A: Given: I=∫kx4+x2dx   ...1   As we know the common integral. ∫1ax+bdx=1alnax+b+C

Q: 5s +3 3) Find L'{Y(s)} where Y(s) = (s+1)(s+2)(s+3)

A:

Q: くこう×50'カラトラスで16x)8 ट 人+メxe-xE =(1x)5=2 20 メピ %3D IN on absolute min 4 PuI So ing the extreme value…

A: Solve the following

Q: 3. Derive the reductive formula for S sec" (x) dx.

A: We will find out the required solution.

Q: 1 if dx =3 then K3D203 Select one: O True O False 03789

A: objective to find the integration.

Q: convcrges for all r. n! n=1 Σ 24. Show that

A: To show the series∑n=1∞rnn! is convergent for all r; ratio test can be used. Ratio test rules that…

Q: Ex:- Min Z= X-3 X2-2 X3 %3D sub to 3X1 - X2 + 2 X3<7 -2 X + 4X2 く12 -4Xi+ 3X2+8X3 slo Find anew…

A:

Q: 2n +3 S3 = (Limit comparison test) %3D 5n - 2 n=1 Apr/2021 5:00-6:10 PDT 5:00-6:10 PDT Provided to…

A:

Q: (-1)" S. =È D n=1 Vn +1

A:

Q: 2. Rainwater accumulates in the ditch as follows: 10 centimeters of water in the 1st second, 15…

A:

Q: 2- S5olve X" = LX given u =1

A:

Q: Use initial value theorem and final value theorem to find f(0) and f(0), if 6+ 7s² + 5s F(s): s(s2 +…

A:

Q: az given that yz*+x2z3 = eyz ax

A: H

Q: S - -1 (4)F(s) = (5)F(s)= (6)F(s)= tan s(s +4) S +1 2s +4 (7)F(s)= 2.s , (8)F(s) = (s² +1)* 2 (s² +…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: -4s? – 5s + 14 2s +1 + s2 + 72 5 3 + 86 1 4s -] Let G(s) = - - 5)³ (s – 2)(s – 4)(s+1) s2 + 6s + 34…

A:

Q: Use initial value theorem and final value theorem to find ƒ(0) and f(∞), if 6+ 7s² + 5s F(s) s(s? +…

A:

Q: 1+ In x If y = 1- In x The value of y' = 10.62 at x = 2 %3D

A:

Q: centered at z = -1. (-1)" (n + 1)(x + 1)" n+1 E"(z + 1)" Σ n! O m-0 El-1)~ (n + 1), (x+1)" n!

A: 1. The function given is fx=1x2. At x=-1, f-1=1. Finding the derivative of the function at x=-1. The…

Q: on the interval 0sxs 2. Note: Water weighs 62.4 Ib/ft3. 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 -2 -1.5 -1…

A: Given y=15x2

Q: −x^2+x+6 has root(s) at x=

A: To find the roots of the given equation.

Q: { 23-y3-1 If f(x, y) T-1 3 ,x = 1 then fy(1,0) + 2f-(1,0) = O 9 O -9 O 6 О-6 O does not exist

A:

Q: he executives are interested le of 500 customers yielded nore than 5% of its current tuation.

A: Given data number of success , x= 40 sample size, n = 500 population proportion,p=…

Q: x²y' + 2xy = In(x), y(1) = 2 y = In(x) 1 2 + 1. 3 + - y = -In(x) O Option 1 Option 2 1 1 1 1 1 2 y =…

A: We are given first order non homogeneous linear differential equation which we will solve by first…

Q: Find the radius of convergence for: 3 (n!) ³ (3n)! n=1 xn

A: Recall that the radius of convergence for a series ∑n=1∞anxn is R=limn→∞anan+1

Q: 8= From Orelinay Differeulial eguaton of following by Eliminaking the y==x(aCos 2x + bSin2x)

A:

Q: 2 - = 3t y+ x' = 3et * (0) = y (0) = 0 OL (x) = 3s2 (s+1)(s–2)(s²+1) 3(s-1) OL (z) = 76+1) (28²+1)…

A:

Q: None of These cosh(4t) 7. 2. 7. - sinh( 21) sinh(4t) 7. cosh(21) 7. Sて 1/2 1/2 1/2 1/2

A:

Q: The sum of the lengths o be greater than the lengt possible values of x for th

A:

Q: x is within 5 units of 1. Olx-1 s5 |x - 1|> 5 |x -1|2 5 Olx-11-5

A: We will solve the problem

Q: L[u(t – 3) (r²4' – 9 4')] = 64e- -3s (s-In 4)3 9. (s-In 4)2 2 81e-4s (s-In 3)3 16 (s-In 3)² 64e-3s (…

A:

Q: Two real numbers X and Y are chosen at random in the interval (0, 1). Compute the probability that…

A: Selecting two points x and y from the interval (0,1) is identical to selecting a single point from…

Q: Find the linearization of y = eV3x у at x = 64. (Use symbolic notation and fractions where needed.)…

A: topic- linearization of a function

Q: An investigator arrives in a crime scene where a dead body of the victim was found. He arrives at…

A:

Q: What does P(sub)n mean. I understand as the purple line (the derivative) gets bigger it follows the…

A: Pn(x) represent the taylor polynomial of order n.  If a function f has derivative of all order then…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.