et S= -4 \nEN}. n³ Find sup S. Justify your answer.

Q: x 3 = (a) Find the first 4 non-zero terms for the Maclaurin series for f(x). 3 1 + x + X 1+x² + 5 x…

A: Maclaurin series for (1-x)^(-1)= 1+x+ x^2 +x^3 +. . .. .

Q: Problem A2. For the initial value problem y = y³ +2, y (0) = 1, show that there is some interval I…

A:

Q: 1 If L{f(t)} 3s +2e-2s2e- determine f(t).

A: given L{f(t)}= 3ss2+2e-2ss2-2e-5ss2 f(t) =L-1[ 3ss2+2e-2ss2-2e-5ss2] =…

Q: A tangent and a secant intersect to form an 18° angle. The lines intercept two arcs on a circle so…

A: The angle between the tangent and the secant is 180. The intersections of the lines with the circles…

Q: series below converges or diverges. Show all work that leads to your conclusion and indicate the…

A: Here we use comparison test series to determine the given series.

Q: A semi-log chart is created in which the y-axis has been converted to base 10 logarithms. At a…

A: If the value on y axis is exactly between 3 and 4 then Log10(y)=3.5 where y represents the actual…

Q: Find the zeros for the given polynomial function and give the multiplicity for each zero. State…

A:

Q: It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars…

A: The maximum profit is obtained by equating the profit function to zero.

Q: (a) (b) W₁ = 4x1 + 5x2 W₂ = x1 - 8x2 W₁ = 5x1 - 7x2 W2 = = 6x1 + x2 W3 = 2x1 + 3x2

A: Given that (a)             w1 =4x1 + 5x2            w2 = x1 − 8x2   (b)            w1 = 5x1 − 7x2…

Q: If x has a value of -4, determine if the series converges (absolutely or conditionally) or…

A:

Q: A piece of duct measures 28 inches. When 2 pieces are fitted together, 1 1/2 inches are allowed on…

A:

Q: 3 x = x³ = x

A: To find equilibrium point , we equating the differential equation equal to zero.  let the…

Q: (a) Solve the first order equation for 2 and substitute into the second equ thereby obtaining a…

A: Given the system                   x'1=-2x1+x2                 ...(1)x'2=x1-2x2…

Q: You have been hired to design a PC case. It will be a rectangular prism. The left side will be made…

A:

Q: Let V be an n-dimensional vector space over the field of complex numbers C. Show that V over R has…

A: A complex number z can be written as z=x+iy.Assume a basis for V over C then extend it to V over R.

Q: u(x ) = 2 − 2x + 5x ª + 7x ³ + ſ', (x − t)u(t)dt

A: Consider the given Fredholm integral equation, ux=2-2x+5x4+7x5+∫-11x-tutdt So, it can be expand as,…

Q: QUESTION 1 Set A = Z, B=(0,1), and C= [1,2]NQ. For sets does is it true that if a continuous…

A: A and B are not compact sets clearly  C is a compact set Continuous function is bounded in the…

Q: Instructions: Solve the following word problems. 1. Three couples have reserved seats for a concert.…

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

Q: 1. A box contains 6 blue balls and 4 red balls. Two balls are drawn from the box, one after the…

A: Given: 1. An event, A box contains 6 blue balls and 4 red balls. Two balls are drawn from the box,…

Q: You choose t candies simultaneously and uniformly at random from a collection that initially…

A:

Q: Determine the interval(s) on which x² + 2x-3 > 0. O a) x>1 b) -3 1

A: We want to find the interval which satisfy given inequality.

Q: (3x²y² − 3x² )dx+x³ydy−(y² − 1) / dy = 0

A:

Q: Please select MCQ

A: Solution:- In 1st question answer is zero. i.e.  option c is correct.

Q: A furniture factory receives a daily shipment of 50 boards of oak and 60 boards of maple, which they…

A:

Q: 7 Solve the differential equations (d) f"(t) + f(t) + f(t) = (t-1)u(t-1) where f'(0) = f(0) = 0

A: Some of the formula of Laplace transformation…

Q: Find y as a function of a if y(0) = 2, y(0) = 3, "(0) = 7. y(x) = y"9y" + 18y = 0,

A: y'''-9y''+18y'=0y(0)=2, y'(0)=3, y''(0)=7To Find: y(x)

Q: 7 Solve the differential equations (a) f(t) + 2f (t) = tu(t)- (t-1)u(t-1) where f(0) =

A: Some of the properties of Laplace transformation…

Q: etermine the interval of convergence for the series x+ 9x² 27x³ 81x4 + + 5 7 9 + ...

A: Given series is x + 9x25 + 27x37 + 81x49 + ...

Q: 7. Find the expansion of f(x) = x, 0≤x≤π in a series of eigenfunctions of the Sturm-Liouville system…

A: Consider the given differential equation, y''+λy=0 Put λ=α2, so we get, y''+α2y=0 So, the auxiliary…

Q: Using &, & method show that (a) dimit 1 = 1 and (b) dim x³_- χ X x-→| 241 2-1 ܬ = 3

A: As per the question we are given the following limits : Limitx→1 (1/x) = 1 Limitx→1 (x3 - 1)/(x -…

Q: What are three benefits of home ownership? What are three benefits of renting?

A: Answer   Three benefits of home ownership: 1.Building your own assets.  2.No uncertainty and no…

Q: 5. Write down all the set-partitions P of [6] such that |B| = 2 for all BE P.

A: Please find the answer in next step

Q: Conservative. F Such F(X,Y)= that IF it is F=VE. Conservative, find a (-Y + ex sin (v)) î (-Y + e*…

A:

Q: Find the flux out of the curve bounded by the top half of = arccos(√√²+² ) and y=0 with vector field…

A: As per the question we are given a bounded curve C and a 2d vector field F And we have to find the…

Q: 1 (Z-1)(z-2) Expand f(z) = |z|>2 f(z) = ...+ in a Laurent series valid for the indicated annular…

A:

Q: 95 Find the eigenvalues and corresponding eigenvectors of the matrices (₂) (c) 05. 4 3 50 (e) 0 11 6…

A: Note: We are entitled to do only one question at a time. As the specified one is not mentioned, So…

Q: 10. 3 5 1 3 0 1

A:

Q: Determine whether the series +∞ -1 -1 [[cos ¹(-)- cos ¹ (1+1)] COS COS \n n=1 converges or diverges.…

A: The given problem is to check whether the given series is converges or diverges and also find its…

Q: Solve the initial value problem. Find the solution of the given initial value problem. Determine the…

A: Given problem is y''+7y'=0, y(0)=-9,  y'(0)=7   To Solve: The initial value problem and the behavior…

Q: Solve the system of equations using augmented matrix methods. X₁ - 2x₂ = 1 2x₁ - x₂ = 5 Select the…

A:

Q: Find the series solution of y" + xy' + x²y = 0

A:

Q: 2П u(x) = ( ²5 - Ln (2+√3)) x 3 x + Sec (x )Tan (x) - [³ x t u(t)dt

A:

Q: 1. Express the general solution of the given systems of equations in terms of real-valued functions.…

A:

Q: 10. Use i = (0, 1) and y = (y, 0) to verify that -(iy) = (-i)y. Thus show that the addi- tive…

A: i=0 ,1y=y ,0 verify :   -iy = -iy  To find additive inverse of z=x+iy

Q: The probability that a man will live 10 more years is 1/5 and the probability that his wife will…

A: Sol

Q: +∞ -1 Determine whether the series [cos ¹(-)-¹(₁+₁)] COS COS verges or diverges. If the series…

A:

Q: ) Obtain the Taylor's series to represent the function |z| < 2. z²-1 (z+2)(Z+3) in the region

A: Given function as z2-1z+2z+3

Q: A circle has a radius of 13 in. Find the radian measure of the central angle 8 that intercepts an…

A:

Q: A Markov system with two states satisfies the following rule. If you are in state 1 then of the time…

A: From the data, if the transition matrix is A=a11a12a21a22 Then…

Q: Can you answer D plz

A: We need to determine which of the sales, 170 CDs or 200 CDs, yields a higher revenue.