(1) Show that the series n+1 n -1 and n3 +1 n=2 converge. Be very clear about the steps you are taking.

Q: In how many ways you can choose 8 of 32 playing cards not considering their order?

A: The combination of a number of objects is their arrangement without considering the order in which…

Q: @ Let A -a Find Cenditiens on a,b.c and d that AX =o has infailely many Solution. what must there…

A:

Q: 8. Interval -c<x< c; function, f(x) = ex

A:

Q: Calculate the circulation of the field F around the closed curve C. Circulation means line integral…

A:

Q: 11. 10290° / 402-40° 12. 1/200290°

A:

Q: The augmented matrix of a linear system has been reduced by row operations to the form shown.…

A:

Q: Let G be a connected graph that has an Euler tour. Prove or disprove the following statements. If G…

A: Euler Circuit: A closed walk in a graph G that uses every edge exactly once is called an Euler…

Q: Use any method to simplify the.complex fraction. 25z°x5 49 2 6 175x z° 21

A:

Q: Consider the following code words. 0000 0011 1001 1111 The minimum hamming distance of the above…

A:

Q: Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1+an-2+ 5n, express an in terms of n.

A:

Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (2, -7) 323 2

A: Here to find the value of line integral we consider two path c1 :from the point (0, 0) to (0, -7)…

Q: Find Fourier series for the function f (x) = x\,- <x< T

A:

Q: 8. Mississippi River Airlines utilizes five hubs to connect cities across the Northern Hemisphere.…

A:

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (-3, 3) and (- 3, – 3).

A: This is a problem of locus and analytical geometry.

Q: The test scores of 20 students are listed below. Find the 34th percentile

A: We have to find the 34th percentile from the given data set.

Q: Using the method of cylindrical shells, set up but do not evaluate an integral for the volume of the…

A: Given that the region R in the first quadrant bounded by the graphs of y=16-x2, y=0 and x=0 is…

Q: find The aea bounded by the and the line y-3* Eunve X-+4

A:

Q: Perform the indicated operation and express in lowest terms. Зр - 3 5p? 9p - 9

A: All we have to do is take out the common factors. The detailed solution typeset in LaTeX is…

Q: 23. Find the general solution of x (* - 2)y" - (x? - 2)y' + 2(x - 1)y = 3x(x - 2)e", 3x (* - 2)°e*,…

A:

Q: Find all the arymptotes of the cubic polynomial ー24y.C2nーツ)+yメーソ)o: aned show thaf Cut the cunne in…

A: Given function is x3-2y3+xy(2x-y)+y(x-y)+1=0 There is no asymptotes parallel to x-axis and y-axis…

Q: Let R be the region shown in the accompanying figure. Fill in the missing limits of integration. y =…

A:

Q: test the Convergeh(e and n'coscnt)

A:

Q: 2 The distance, d metres, that a ball rolls down a slope varies directly with the square of the…

A:

Q: Find a Maclaurin series expansion for f(x) = e- 2x

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

Q: If the rate of inflation is 3.4% per year, the future price p () (in dollars) of a certain item can…

A:

Q: W16.2 Decide which of the following functions are periodic. For each periodic functions f provide T…

A: # If f(x) is periodic function with periodicity T then f(ax+b) will periodic with period  Ta # If f…

Q: 16.) Susan is making monthly payments of $207.31 to pay off a 3½ year loan for $6400. What is her…

A:

Q: Linda bought an 8 foot long piece of framing to frame her 2 college awards. One award is 8.5 inches…

A: Convert 8 foot in inches.

Q: i) Simplify sin(2sin-1x). ii) Show that sin 30 = 3 sin 0 – 4sin30. iii) By using the substitution 0…

A:

Q: Design a function that meets the following criteria: The function must have both a numerator and…

A: Given: The function must have both a numerator and denominator. The function must be designed in…

Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. c2…

A:

Q: The integral TT tan x sec2x dx O none of them is an impróper integral of type I that diverges is an…

A: Solution

Q: According to building specifications and physical measurements, the maximum weight that foundation…

A: If x is directly proportional to y, then it can be written that x ∝y or x=ky. Here, k is the…

Q: Use Brute Force to determine the lowest weight -43 21 18 37 35 29

A: We have to use Brute Force to determine the lowest weight Hamilton circuit for the graph below.…

Q: y"-6y'+9y= 0 v(0) = 2 1/(0) = 3.

A:

Q: Exercise 5.3.10. Suppose G is a cyclic group. (1) If G is infinite, show G has exactly two…

A:

Q: The average rate of change of the constant on the line at the points P(-1, 2) and Q(9, -13)…

A: Average rate of change can be calculated as follows:

Q: Let (X1, d1) and (X2, d2) be metric spaces and f : X1 -> X2 be a continuous function. Prove that if…

A:

Q: 1. Use the Washer Method to find the volume obtained by rotating the region in the below figure…

A: To use washer method to find the volume of the solid obtained by rotating the given region.

Q: Every continuous map T2 –→ S2 is homotopic to the constant map

A: To prove: Every continuous map from the Torus T2 to the sphere S2 is homotopic to the constant map.

Q: 4. Solve eu, - uu, = 0, u(0, y) = -y %3D for small |r.

A:

Q: Find fouvier series [0,2 7] TーX oくX <T %3D くx <2x

A:

Q: Find the line of intersection of the planes z + 2y – z = 1 and z + y + z = 1. Lütfen birini seçin:…

A: Given equation of plane is x+2y−z=1 and x+y+z=1. We have to find the line intersecting of the plane…

Q: f (t) = e(-3t) sin(2t) cos(3t) cosh(t) f (t) = v1+ sin t + (8t)15 + t² cos 3t %3D

A:

Q: Use the Newton-Raphson formula once to find an improved estimate of a solution to the equation 3x^ 2…

A: Given equation is 3x2 = 7e-x It can be written as 3x2 - 7e-x =0⇒fx =0Here, fx =3x2 - 7e-x First…

Q: 1. Set up the following improper integrals by definition. sin(x) xe-x³ dx dx 2? — Зх — 4 а. с. 7 et…

A: Solution b: Given integration is ∫17exx-1dx Here 1 is the only point of infinite discontinuity So we…

Q: 5. Evaluate determinant D by: c. Chios Method 6 4 12 16 6 8 8 14 14 4 A = 4 6 16 12 2 2 10 18 10 14…

A:

Q: A thermometer reading 60° F is placed in an oven preheated to a constant temperature. Through a…

A: To construct a mathematical model and to determine the temperature of the oven.

Q: Let be yı(x) and y2(x) solutions for a differential equation with constant lineal coefficients y" +…

A:

Q: Use (1) X = eAtc (1) to find the general solution of the given system. 1 1 1 X' = 1 X 2 -2 -2 | X(t)…

A: