If {a} be a sequence such that lim an +1 an = 1, where | 1|< 1, then lim an = 0.

Q: Let P and Q be two conditions of the same type. Check any objects which cannot satisfy P --> Q, or…

A: P implies Q means if P is valid then Q is also valid .

Q: Consider the function vec : Cmxn → Cmn such that for any A E Cmxn A*1 vec (A) = = A*2 : A*n Prove…

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Q: Sketch the boundary and shade the region of integration indicated by the pute the area using…

A: see my solution below

Q: Let P and Q be two conditions of the same type. Check any objects which cannotsatisfy P --> Q, or…

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Q: write the converse, inverse, and contrapositive of the given statement. Given: If all cats are…

A: Given conditional statement: If p then q:  If all cats are black, then I am  a happy man. Converse:…

Q: Examples. Justify your answers briefly. (c) Give the Dedekind cut for √√3+√2. (Of course, your…

A: In this question, we have to find the Dedekind cut for 3+2.

Q: Use the table feature of a graphing calculator to predict the limit. Check your work by using either…

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Q: 4. For all n > 1, 1. n ln(n) 1, arctan(n) 7³ and the series 2n³, converges, so by the Companson…

A: by the comparison test we know that i) if big series is convergent then small series is also…

Q: 4. for a a = 91(y) = h₁(y, z) a = 2 (y) 9₁ (y) a a = b = = b 9₁(x) = h₁(x, z) = b •9₂(x) h₂(x,z) 5.…

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Q: an+1 an If {a} be a sequence, such that lim- =1>1, then lim an =8

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Q: 2. Let f(x,y) = {'1, = {0, y≤0ory 2x² 0<y<x¹ (a) Show that f(x,y) → 0 as (x,y) → (0,0) along any…

A: f( x, y) = 0y≤0 or y⩾x410&lt;y&lt;x4 Note that  f (0,0) = 0 . To show that f is continuous at (0,0)…

Q: V1 = [3] a1 = Ex: 42 a2 Which weights should be used for b = a₁ v₁ + a₂2 V2 to obtain the vector b -…

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Q: Find the solution of each of the following initial value problems. y-y=2te²t, 2te²t, y(0) = 1

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

Q: Let C be an upper triangular: nxn matrix. Prove that if CCT=CTC, then C must be a diagonal matrix

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Q: 7. If u, v are unit vectors then (1+ uv)² equals, (A) 2(1+uv) (B) 0

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Q: Construct a table for 7-3-2-1 weighted code and write 3659 using this code.

A: We have to construct a table for 7-3-2-1 weighted code and write 3659 using this code.

Q: 1. Use Gauss-Jordan Elimination to find the solution to the system of equations. Show all of your…

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Q: 45-49. Sketching graphs of functions Sketch the graph of a function with the given properties. You…

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Q: A mall charges P25.00 for the first hour or a fraction of an hour as parking fee. An additional…

A: Charge for the first hour or fraction of hour =25.00 Additional charge  for next hour or fraction of…

Q: If0 sin.x, +sin x, + sin xạ 3 Hence or otherwise prove that if A, B, C are angles of a triangle then…

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Q: What the general solution of x dx = (y²+4) \ nx dy In (y² + 4)"

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Q: Determine the solution for the following Bernoulli's differential equation. dy 1 1)- dx + ²y = exy¹…

A: We have given a differential equation, dydx+13y=exy4 This is Bernoulli's differential equation of…

Q: Discuss the difference between the differential equations (dy/dx)2 = 4y and dy/dx = 2/ỹ. Do they…

A: To find- Discuss the difference between the differential equations dydx2 = 4y and dydx = 2y. Do they…

Q: 21-26. Where do inverses exist? Use analytical and/or graphical methods to determine the largest…

A: The given function is:                                                                 f(x)=x2-2x+8…

Q: 2. Let us consider the given statement -p ^~q The truth table of the statement is Р T T F F q T F T…

A: The logical symbol "∨" is used to denote "OR". The logical symbol "∧" is used to denote "AND". The…

Q: Write the converse, inverse, and contrapositive of the given statement. Given: If all cats are…

A: Conditional statement: If p then q Converse: If q then p Inverse: If not p then not q…

Q: 2x+y+z= −2 x+3y-2z = −11 3x + y = 27

A: Given : The system of linear equations is  2x+y+z=-2x+3y-2z=-113x+y=27 To Find: Solve the given…

Q: 80. A problem from relativity theory Suppose a spaceship of length Lo travels at a high speed v…

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Q: 5) Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25…

A: Rufus collects aluminium to recycle = 100 pounds he plans to collect additional 25 pounds each week.…

Q: 21. Let F(x, y, z) = path ŕ= COS³/ sin5 / cos? | line to the point (1,2,3). Find ſp, F. dr. and let…

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Q: Consider the function f(x) = - - 4. In this problem you will calculate 4) dx by using the definition…

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Q: Exercises 3.1 A. Let W = {(s, 3s, -s): sreal}. Show that W is a subspace of R³. 2. Let U = {(s, -2s,…

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Q: Determine that each equation is a solution of the given differential equation. y = A sin 5x + B cos…

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Q: A. Construct truth tables for each of the following compound statements. (n X a)

A: We need to construct the truth table for given logical expression

Q: 2.1: Linear combinations. qy7 Jump to level 1 V1 = 9 a1 A2 = Which weights should be used for b = a₁…

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Q: The price of a condominium is $152,000. The bank requires a 5% down payment and one point at the…

A: Q1(d) asked and answered.

Q: Test if f(s, t) = 5s-4t is a homogeneous function, and give it's degree. s-4t

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Q: Equilibrium Price: Cell Phones   Worldwide quarterly sales of a brand of cell phones were…

A: Given Data: Demand function q=-p+156 supply function  q=9p-394

Q: 8. Use the strategy discussed in class (first and second derivative tests, critical points,…

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Q: decimal place by using a small enough interval. g'(8)≈ Let g(t) = (0.4)'. Estimate g/(8) to within…

A: Choose the small increment say ∆x =0.1 Then we know the definition of derivative gives ,   f'(c) =…

Q: 2. Suppose we have a cylindrical tank full of water resting horizontally with a length of 10 feet…

A: Summary: We have a cylindrical tank full of water with height 10ft and radius 2ft. there is also a…

Q: Answer the one multiple choice question below: (please answer correctly because experts have been…

A: The transformation g(x) of W(x)=e^(-(x-Q)^2) gives A Horizontal translation by Q units .

Q: Find the complete solution to the IVP given by dy + 2y = 2H(t − 2) – H(t — 5), y(0) = -1 dt What can…

A: Properties of Laplace transformation  Ly'(t)=sY(s)-y(0)LH(t-c)=e-cssL-1e-asF(s)=H(t-c)f(t-c)

Q: Use traces to sketch the surface. y = 5z² - 5x² Identify the surface. O elliptic cone O hyperbolic…

A: If the graph of y=f(x,z) is sliced by the plane: y=c, then the two dimensional cross-section…

Q: Let u, ER³ prove that ū. (ū xv) = 0

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Q: Give explanations of the answers so that the concept can be understood. i dont want to give 8…

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Q: Problem 2. For every real number a # 0, for every nonnegative integer n, for the function f(x) = x^,…

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Q: 3. A newly bought car has a value of 35 000 euros. If this value decreases at an exponential rate of…

A: Q3 asked and answered.

Q: Question 1 Consider the homogeneous du Pu Ət ər² heat problem with boundary condition ди (0₁ t) = 0…

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Q: Given the following matrix A, find an invertible matrix U so that UA is equal to the reduced…

A: Consider the given matrix, A=125-1-2-2001310-1 Here we need to find an invertible matrix U so that…