4. Show that the sequence {fn}, where nx fn(x)=- xER 1+n°x' is point-wise convergent but is not uniformly convergent in any interval containing zero.

Q: Solve using separation of variables: dx = +(1 + t^2) sec^2 x dt.

A: Given differential equation, dx = ( 1+t2 )sec2x dt

Q: Marianne left the house with a jug containing 4 liters of water. She drank 4 of the water in school,...

A:

Q: Solve the integral equation: y (t) = 1 – S (t – T) y (T) dr O y (t) = cos t O y (t) - cos t O y (t) ...

A:

Q: 1. Solve for the series with center at 0 (Present up to 6th term): 1.1. ex 1.3. sin(x? – 1) 1.2.금 1....

A:

Q: 2. Using Gauss-Seidel Method, obtain the solution to the system X1 +5x2 + 3xX3 = 30 3x1 + 7x2 + 13x3...

A: The coefficient  matrix is 1 5   33 7  1312 3-5, now this matrix is not diagonally dominant, we can ...

Q: 2. It is desired to obtain the real-valued roots of S(2) = 0, f(z)= (x*. 8. - 6z - 5z2 + 6r - 4VT+10...

A: We will use basic knowledge of set theory and real-valued functions to answer the first two subparts...

Q: We consider the differential equations /(t) = cos(t) /(t) = cos(y(t)) (1) (2) 1. We first consider O...

A: The differential equations given are as follows: y't=costy't=cosyt (4) We are asked to determine gra...

Q: consider the differential equations y/(t) = cos(t) %3D (t) = cos(ult))

A:

Q: 4) r= 2cos 0 + 2sin 0

A:

Q: Question: Consider a minimization linear programming problem in standard form. Let x be a BFS associ...

A: Solution :-

Q: the exact value of the integral. (Give your answers correct to 4 decimal places.) 2∫53ln(x)dx; n=

A: Introduction: The formula for the trapezoidal rule is given by, ∫ydx=h2y0+yn+2(y1+y2+...+yn-1) The f...

Q: Let x_1 = 1/2 and, for n ≥ 1, x_(n+1) = √xn. Prove that the sequence (xn)^∞_n=1 converges and find i...

A:

Q: (5) Two partions of the interval [0,1] given below. Check which of the following options is regular....

A: Given- Two portions of the interval 0, 1 given below. P1 = 0, 14, 12, 34, 1 and P2 = 0, 13, 12, 23, ...

Q: Using the Binomial Theorem, show that n n n2"-1 k=0

A: Given: Let us determine the given, ∑k=0nknk=n2n-1using the binomial theorem.

Q: • Formulate the problem as an LP. • Write the dual LP. • Derive the units on the dual variables and ...

A:

Q: Learning Activity 3 Solve the following by inspection (using graph), and justify the method of solut...

A: Solution

Q: A solid has a circular base of radius 20 units. Find the volume of the solid if every cutting plane ...

A:

Q: VzI (k=1) O 4.3525 - 1.0275i O -4.3525 + 1.0275i O 2.0582 - 0.4859i -2.0582 + 0.4859i

A:

Q: Find the polynomial that interpolates the points (-2,4), (-1,0), (2,-1), (2.5,0), (3,1), (4, 2). Use...

A:  

Q: 2. Find Argz and argz (a) (1-6)* (b) ivs (e) 금

A: (a) Here 1 - i4 = (1 - 1 - 2i)2             = -2i2             = -4So  Arg(z) = π - tan-10-4 = π - ...

Q: Determine whether the series is convergent or diver gent by applying either the comparison test or t...

A: 2.) Given series is ∑n = 1∞1nn As n > 2    for all n≥3nn > 2n   ⇒ 1nn < 12n ⇒  ∑n = 1∞ 1nn ...

Q: Eind the Laplace transform for the following functions: U. f(t) =3 sin 4t -2 cos 5t r. f(t) =1+2t+3t...

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

Q: Bonita obtained 22/30 for a Geography test and 18/25 for a history test In which subjects did she ob...

A: Marks obtained in Geography is 2230 marks obtained in history is 1825 we need to compare two fractio...

Q: Find the solution of h (x) = e cos a + 5x = 3 using False Position %3D %3D method between 2 and 3 (u...

A:

Q: 2. (a) If gcd(a , 35) = 1, show that a2 = 1 (mod 35). [Hint: From Fermat's theorem a = 1 (mod 7) and...

A: Fermat's Little Theorem:- It states that if p is any prime and a is any integer then, ap≡amodp    i....

Q: 2. Find the equation of ellipse given the following parameters. Show your solution (a) Center at the...

A:

Q: Z1+Z2 Z3 O -2- 6i O -1-i O 1-3i O 2- 6i

A:

Q: MY NOTES You may need to use the appropriate appendix table or technology to answer this question. F...

A:

Q: For the LP in K&B Section 3.2, problem 11 (converted to K&B canon- ical form), consider the basis B ...

A:

Q: 3. Find the first three non-zero terms in the Taylor series for J (x) = et cos about x

A: To find the three non-zero terms in the Taylor series for f(x)=excosx about x=0    

Q: 3. CoSX elx

A: Derivative of the function is the measure of how fast the function is changing with respect to the i...

Q: Solve using selaration of variables: xy^3 dx + ex^2 dy = 0.

A:

Q: ENCY The diagram below shows a collection of squares and circles. Answer the following ratio questio...

A:

Q: a. Find domain of g(x) and h(x). b. Find (f + g)(K +F). c. Find (hof-1)(x) in simplest form.

A: This is a problem of function.

Q: What are the end behaviours of f(x) = –3x6 +2x + 1? Tell me how you know. As x > 0, y → As x > Tell ...

A: Given,  f(x) = -3x6+2x+1 We have to find the end behavior of f(x). 

Q: 7BAC =>7A

A: this is a problem of Logic.

Q: The table below shows a family's assets and liabilities. Net Worth Worksheet Assets Liabilities Bala...

A: Given that  Now Total Assets is Total Assest=2500+23000+225+135000+18000+6200⇒Total Assest=$184925 ...

Q: For questions 1 and 2, find each value or measure. 13. 13. EF = 14. x = 14. 9x-1 106 (10x-23) E 41-5...

A: Note: We are entitled to solve only one question at a time. So we are doing first one only. Please p...

Q: 4. (a) Using Cayley-Hamilton theorem find the inverse of the matrix [i 2 1] A =| 2 1 0 1 1

A:

Q: Let f (t) = L1 {}. -3s Find f (7). 83 32

A:

Q: а. Show that the set S of all symmetries of an equilateral triangle form a group under composition o...

A: We will be solving part (c) and (d) as mentioned. let S be the group of all symmetries of an equilat...

Q: Auctioning k identical items A particularly simple case of combinatorial auctions is when there are ...

A:

Q: selve the followig system usig Jacabiitecation me thod use xs (o.s o.sos toXt

A:

Q: Use the sequential runoff method to determine the winner if a majority cannot be determined. Votes 3...

A:

Q: Solve using separation of variables xy^2 dx + e^x dy = 0; when x -> infinite, y -> 1/2.

A:

Q: FIND THE VOLUME OF THE FOLLOWING CYLINDER: Given: Height – 7cm Bottom of the cylinder – 3cm Top of t...

A:

Q: a(s + k) + ba 44. (s + k)? + 7?

A: This is a problem of Laplace transform.

Q: Question The solution of the following Initial Value Problem: y" +4y'-5y 0 y(0) = 1, y'(0) = 2 is: y...

A: Give ODE is y''+4y'-5y=0          (1) with initial condition y(0)=1, y'(0)=2   Auxiliary equation of...

Q: Q3) Predict the following: • h is a human and devil is not human p is peace and war is not peace • F...

A:

Q: (z2)8 O 6561 + i -8432 + 5376i O -352 + 936i O -1992 + 2456i O O O

A: