Prove that for any bounded sequences (xn) and yn we have lim sup(xn + Yn) < lim sup(xn) + lim sup(yn). Give an example that shows that equality may not hold. What is the corresponding inequality for lim inf?

Q: For the following polynomial function, find (A) the degree of the polynomial, (B) all x-intercepts, ...

A: A polynomial function is a real-valued function expressed as fx=a0xn+a1xn-1+...+an-1x+an Here, a0,a1...

Q: Approximate the root of 2a – 11.7z + 17.7r 5 0 using three iterations of Fixed-Point Iteration. Use ...

A:

Q: bability distribution shows the number of items a customer buys in a book store and their correspond...

A:

Q: 2. Identify the conjugate of each complex number, then plot both complex numbers and their conjugate...

A:

Q: 2. (15 points) Identify the type of the differential equation and solve the initial value prob- lem ...

A: This is linear non-homogeneous differential equation. We will solve it first get the integrating fac...

Q: TRUE

A:

Q: Calculate the following: / Bereken die volgende 4 E3/ - 3Ek? = ? %3D j=2 k=1 Answer:

A:

Q: termine the solid bounded by the surfaces 9x2+4y2=30 and the plane 9x+4y−6z=0 in the first octan

A: The given solid is bounded by the surface 9x2+4y2=30 and the plane 9x+4y−6z=0 in the first octant.

Q: (а) Зу — бу — 0, у(0) — -3 Solved (b) y" – 7y' + 6y = 0

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: Find the general solution to 1 y' +

A: We have to find the general solution of y'+yx=1x4y34 .

Q: Problem 1: Evaluate the following. Show your work. a) 2llog 530) b) [-317.12] c) (V2)kg 256

A: The greatest integer function is a function that gives the largest integer which is less than or equ...

Q: 1.20 * Prove that the flight-path angle is equal to 45° when v = 90° on all parabolic trajectories.

A: Solution

Q: Use the data points above to approximate the area under the Lorenz curve LCanada Over the interval [...

A: Note: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-p...

Q: 4. Let A = {1,2,3} and B ={6,8,10} and define a relation R from A to B as follows: For all (x,y) € A...

A: Given that A=1,2,3 and B=6,8,10 and a relation R from A to B is defined as     for all x,y∈A×B, x,y∈...

Q: 3. Given r(t) = 12ti + 5cos tj + 5 sint k, find the unit binormal vector and torsion.

A: The unit binormal vector of a vector function is a vector that is perpendicular to both the unit tan...

Q: Find a point zo where the function f (z) = (z – 12 – 12i) (z – 12 – 12i) is differentiable. What is ...

A: Given f(z) = (z-12-12i)(z -12 -12i)¯

Q: Given a universal set containing integers from 0 to 21. Set A contains odd numbers while set B conta...

A: Let U denote the universal set. Then, U={0,1,2,..., 21} Union of two sets A and B  is a set containi...

Q: In how many minutes after 6 o'clock will the hands of the clock be in perpendicular to each other fo...

A: We have to find in how many minutes after 6 o'clock will the hands of the clock be in perpendicular ...

Q: Let f (z) = (5z +3) (i – xỳhat is the real part of the derivative f' (1+ i}

A:

Q: number measuring the country's income inequality) is closely related to the area under the country's...

A: Providing the answer for first three parts if you want the answer of other part then please provide ...

Q: 8+71 4. Write the expression as a complex number in standard form. 3-44

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: 1. Find the determinant of the matrix below using cofactor expansions. Hint: start by taking advanta...

A:

Q: L{tcos (-4t)} 16-s2 (s²+16)² s2+16 (s2–16)? - 16+s2 (s2-16)* s2-16 (s2+16)*

A:

Q: 2. Solve the differential equation dy 1 dx

A: Solution :-

Q: 1. Let ci = V2, and cn+1 show Cn is bounded and monotone. Then use a common trick to find the limit....

A:

Q: The % relative error in an iterative process is taken to be present estimate - previous estimate |x1...

A: A rounding error, or round-off error, is a mathematical miscalculation or quantization error caused ...

Q: 6. The angle of elevation of the top of a tower T from a point A on level ground is 80°. The height ...

A:

Q: Use false position method to solve for a root of f (2) = x-873-352+450r - 1001 on (4.5, 6). Do %3D t...

A:

Q: Solve the following  complex numbers in their rectangular form.  Where in Z1=2+4i, Z2 = 5e2i and Z3...

A:

Q: Evaluate the following double integral (x² cos y – sin x)dxdy. 0.

A:

Q: Question 6 How many iterations is needed in order to solve for one real root of f (x) = + r - lusing...

A:

Q: Theorem 9 Let {um}=-5 be a solution to Eq. (18) and suppose that u-s = a, u-4 = b, u_3 = c, u_2 = d,...

A: We are asked to show the following equation, u8n-3=c2ne2n∏i=12nic+a∏i=12n-1ie+c Using the identity, ...

Q: 1. Evaluate: a) i1 b) 1/i24

A:

Q: Determine The Equilibrium Solution (Ranking It) And Solve The Ordinary Differential Equation p= p*(a...

A: Given:-dpdt=p2(a-bp)  where a,b&gt;0. To find:- (1) Equilibrium solution of the ordinary differentia...

Q: Matrix: Determine the Cofactor of Magic (three) Why is it called magic? Show formula and solution cl...

A: To find the cofactor of Magic(three) and the reason why it is called magic.

Q: A child throws a ball upward from the roof of a house. The trajectory is parabolic, according to the...

A: The projectile motion is a type of motion of a particle. If we throw an object from the horizontal p...

Q: A hollow with it axis vertical and vtex Sand is cone with verticle asple 60°, held down wards. being...

A: Volume of the cone with height h and base radius r is (1/3)*π*r^2*h.

Q: Let f : Rn → R be convex with dom(f) = Ω ⊂ Rn an open set. Show that f is a continuous function on Ω

A: Concavity and convexity are two important analytical natures of a real-valued function. A function i...

Q: the previous assignment, you leàrnéd åbóüt ini indéx öf à country (a number measuring the country's ...

A: We will use end points of interval and given data to find value of function at end points . Then wil...

Q: A lso at te end of every Month- for 5 her loauk accout yens that earned 3.20% Couupomded monthiy Cs ...

A:

Q: Recently, More Money 4U offered an annuity that pays 5.1% compounded monthly. If $2,307 is deposited...

A:

Q: 2: Solve the following initial value problem by using Laplace transform 4y" + n²y = 0,y (0) = 2, y' ...

A:

Q: Melissa's grade in her math class is determined by three 100 -point tests and a 200-point final exam...

A: The mathematical expression "x is at least y" can be written as x≥y.

Q: How and why are eigenvectors used to describe solution sets of linear systems of ODE's?

A:

Q: 4. Consider the function if x > 0 {2 if a < 0 g : R – R, g (x) = -2x2 Is this function bijective? Ex...

A:

Q: en(x² + y?) dA where D = {(x, y)|0 < y < 3, -/18 – y? <x< -y}. sen

A: To evaluate the below integral. ∫∫Dsinx2+y2dA Here  D=x,y|0≤y≤3,−18−y2≤x≤−y

Q: Find the volume of the solid generated when the area bounded by the curve y^2=x, x-axis and the line...

A:

Q: Consider the following matrix 3 -3 A = 3 4 -4 2 -3 a. Compute det(A) by using the special pattern fo...

A: We will use row operation to find row echelon form of matrix.

Q: Describe the set of points in space whose coordinates satisfy the given inequalities or combi- natio...

A: (a) x2+y2≤1, z=3. We know that x2+y2≤1 is a unit disk and z=3 is a plane parallel to XY plane. Thus,...

Q: After solving for P(3), construct a histogram for the table below: 1 3 4 P(x) 0.05 0.25 0.4 ? 0.06

A: