3) Approximate the value of following integrals by using composite Trapezoidal rule, composite Simpson's 1/3-rd rule and composite Simpson's 3/8-th rule (wherever applicable): 2.5 e In(x)dr with step size h = 0.25. (a) . r2.2 (b) 1.2 x sin(x)dr with number of sub-interval n = 10.

Q: Question: Chapter 6 Show That A Topology T On X Is Finite If And Only If T Has A Finite Base.

A:

Q: grows much faster than al olem, you will improve on above. rds, define six sequences {- all c> 1: < ...

A: Given: In n&lt;&lt;na&lt;&lt;cn&lt;&lt;n!&lt;&lt;nn

Q: A trench is 10 m long and1 m deep. It is 2 m wide across the top and 1 m wide at the bottom. How man...

A:

Q: - What does it mean to be a "function"? How can you determine function ality of a relation set or eq...

A:

Q: dn -f(D) · P(D) dt di – (23 – 2)f(D) · P(D) ·D |3| dt The average diameter of the drops is simply ex...

A:

Q: differential equation.

A: We will solve this DE by using power series 

Q: The cost C to produceX number of cd’s is C = 50 + 5X. The cd’s are sold wholesale for $15 each, so r...

A:

Q: What does it mean to be a "function"? How can you determine function ality of a relation set or equa...

A:

Q: Sentence Mender 中◆4中令心◆令心 ◆ 中◆◆令令4 ◆命令令色 令令 Rewrite the sentence to make it correct A appel a day ke...

A: Rewrite the sentance to make it correct :-

Q: 3sin e –1 lim

A:

Q: 1" n=1 V 2n +n– 1

A:

Q: The elevation of a mountain above sea level is given by f(x,y) = 3000e-r² +2y*y/100 (in meters). The...

A: Given the function f(x,y)=3000e-x2+2y2100  

Q: Suppose that f is continuous on [a, b] and fg = 0 for all con- tinuous functions g on [a, b]. Prove ...

A: (a) Given that f is continuous on a,b and ∫abfg=0 for any continuous function g on a,b. To prove tha...

Q: The lengths of the segments are defined by the functions s1(x) = 9x - 1, s2(x) = 2x + 3, s3(x) = 4x ...

A: The lengths of line segments are s1 (x)=9x-1 s2 (x)=2x+3 s3 (x)=4x-7 s4 (x)=x-3

Q: Solve the following systems of equations. 4y + 3z = -7 12x - 3y + z = -7 -6x + 2y - 2 z = 12

A:

Q: Consider the homogeneous ordinary differential dy equation x dy 3x dæ + Зу — 0, х>0 X > 0 - dx? with...

A:

Q: Tank A contains 499 litres of brine holding 192 N of dissolved salt, and tank B contains 499 litres ...

A:

Q: Hi I hope it's in written in clear hand  - Determine whether the following relation is i) an equiv...

A: A relation is said to be an equivalence relation if it is reflexive, symmetric, and transitive. A re...

Q: The temperature in °C on the surface of a metal plate is given by T(x, y) = 20-4x - y, where x and y...

A: The complete solutions are given below

Q: f(r, y) x2 – 4xy + y² + 7y+1 Local maxima are none Local minima are none Saddle points are none

A: We have to find the local minima, local maxima and the saddle points of the function of two variable...

Q: 3. Consider the surface integral / (Vx F)-n dS, where F = (0, 0, zyz) and S is that portion %3D of t...

A: we will draw the surface z=1-x2-y2 and then follow the procedure 

Q: An equilateral triangular plate with 6m side is submerged vertically in a tank of water so that its ...

A: Please see the attachment

Q: Consider the homogeneous ordinary differential dy equation x dy 3x dx + Зу — 0, х>0 X > 0 - dx? with...

A:

Q: Question 9 Let u(x, y) be the solution of the partial differential equation (х+1) уи, — и, %3D 0, х>...

A:

Q: Solve y" (t) – 2y' (t) + 5y (t) = H (t); y (0) = 0 ; y' (0) = 1; where H (t) =t – 2 if 0 2 %3D |

A:

Q: How many 7 digit numbers can be formed using the numbers 0-9 if the first and 5th digit can only be ...

A:

Q: How many months would it take you to repay a $ 5225 loan by making payments of $ 57 at the end of ev...

A: The formula for computing the number of years required to pay off a loan when payment is made at the...

Q: Ofcx)= 3x-1 2xくI O fox) = ーX)そく2 olim x*+3x²+ x+2 2 xu + 2x* +1 X→の

A: As per the company rule, we are supposed to solve the first three subparts of a multi-part problem. ...

Q: (1) Find the approximate dominated eigenvalue and corresponding eigenvector by us- ing Power method ...

A:

Q: Hw.s Anofen cylinder Can hag an tnside radius 82cm and an inside heightof s cmuse the total derivati...

A: Volume of the cylinder with radius r and height h is given by V=πr2h For the volume of the metal use...

Q: 18 Verify Stokes' theorem F dr (curl F) · dS C where F = (x² + y – 4, 3xy, 2xz + z²) and S is the su...

A: The complete solutions are given below

Q: ) The totat cost function C=29?42o00 -409-01g, find the minimum cost.

A: To determine the function has maxima or minima  Find the critical point by determine the first deri...

Q: H.W: Find the center of mass- a thin Plate af deusity S=3 bouuded the by lines X- o, y=x iad the par...

A: we have to find the center of the mass of a thin plate of density δ =3 bounded by the line x=0, y = ...

Q: 2. Let X1 and X2 be sets. Define functions T1 : X1 × X2 → X1, T2: X1 × X2 → X2 by T1(X1, x2) = x1, T...

A: Given that  X1 and X2 are two sets. Define the functions              π1 : X1 × X2 → X1    ,   π2 : ...

Q: F = (x² – y² + x)i – (2xy + y)j,

A:

Q: For each of the following functions defined on the interval (0, 7): (a) Find the Fourier sine series...

A:

Q: Determine the values of the variables to satisfy the equation. 4a-b+c+d = 14 , 2a-2b+3c-7d=-21 , a-5...

A: We determine the values of the variables a,b,c and d to satisfy the equations 4a-b+c+d = 14 , 2a-2b+...

Q: 9. S(9 + 8y – y²)? dy 10. S (e*–2)² dx e 2x + 4

A:

Q: Newton Raphson method.

A:

Q: 1. Find the inverse Laplace transform for the following; In(s) Y(s) = s2 [Hint: L[In(t)] = -}(y+In(s...

A: We need to find Inverse Laplace Transform of , Y(s) = ln(s)s2 We have given that ,  Lln(t) = -1sγ + ...

Q: W; by using Adams-Bashforth method to the following initial-value problem; y' =1+2. 1s1s2, y() = 2, ...

A:

Q: -2x-2 4x+ 8 Given f(x) f" (x) = (x – 1)2 ' (æ – 1)2 ' J'(æ) = (x - 1)3 (x - 1)4 a. Find the domain, ...

A: Dear Learner we Expert are following bartleby expert guidelines to answer the questions.  So we can ...

Q: (i) find gcd(2,3+5i) in Z[i], (ii) show that 3+4i and 4-3i are associates in Z[i] (iii) Determine th...

A:

Q: Find the value of a +b+c +d. (Answer must be an integer) The Differential Equation 2y"' + 3y" – 3y' ...

A: The given question is related with differential equation. Given a differential equation             ...

Q: Obtain a series expansion for the integral 1/2 1/(1+x*) dx and justify your calculation.

A:

Q: x' + 2 5 x =

A:

Q: Find the absolute extrema of the function f(x) = x?e-z on the interval %3D

A:

Q: 2. Let X1 and X2 be sets. Define functions T : X1 × X2 → X1, T2 : X1 x X2 → X2 by T| (X1, x2) = x1, ...

A:

Q: Q.12. WHICH OF THE GIVEN BELOW ARE ALWAYS TRUE? MAY BE MORE THAN ONE RIGHT ANSWER 1. If A is diagona...

A:

Q: Find the maximum and minimum values f(1, y) = zy takes on the circle %3D r + y² = 12.

A: Lagrange multipliers method: First solve the following systems of equations: ∇fx,y=λ∇gx,y. The cons...