Prove that between any two rational numbers there is an irrational number.

Q: Show that every graph with two or more nodes contains two nodes that have equal degrees. I

A: We have to prove that every graph with two or more nodes contains two nodes that have equal degrees.

Q: Evaluate the given Laplace transform: L(cos^2 3t)

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Q: 18. Let V= {(a1, a2): a1, a2 € R}. For (a₁, a2), (b1,b2) EV and c € R, define (a1, a2) + (b₁,b2) =…

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Q: 23. Consider the system *-()*. a. Solve the system for a = . What are the eigenvalues of the…

A: Given system is

Q: Let A = {1, {b}, {1, b}} a. Place an e or in the blank to make each of the following statements…

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Q: 0. For f(x) =-x^3 + 3x^2 - 28x Calculate the roots of the function f(x), find the maximum and…

A: Forf(x)=−x3+3x2−28x−x3+3x2−28x=0x(−x2+3x−28)=0The quadratic…

Q: Calculate So y dydr. A. 20 B. C. D. 35

A: We have to evaluate the double integration .

Q: Find the recurrence relation of series solution of the given differential equation about the given…

A: Given differential equation . is an ordinary point.

Q: What is the graph of complex intuitionistic fuzzy set?

A: Complex Intuitionistic Fuzzy Sets (CIFS) extend the concept of Intuitionistic Fuzzy Sets (IFS) to…

Q: Q1. Solve Cauchy problem for the non-homogeneous equation: y" + 3y' - 4y = x - 1, y(0) = -2, y'(0) =…

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Q: y 125° 60° ·x What is the y component of the force? (Figure 1) OFy=F cos 55° OFy=F cos 60° OFy=F cos…

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Q: 1. log(ab) = log a + log b 2. log(a)= clog a 3. log a log b log, a 4. blog, a = a <= Answer the…

A: Since you have posted multiple questions, we will answer the first question for you. If you want any…

Q: Describe geometrically (line, plane, or all of R³) all linear combinations of -⠀-⠀ -⠀-⠀ -⠀-¤-0 (a) 2…

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Q: Verify the satisfaction of the following equations y"-3y' +2y=2x+1 with y=C,e* +C₂e²x +x+2

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: How did you get that the equation was x+y+z=1 and how did you get those limits

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Q: A store offers two payment plans. Under the installment plan, you pay 25% down and 25% of the…

A: a-1Present value = Cash flow/(1+interest)^number of years that is present value

Q: Jesaki Car Sharing offers a membership plan with a $59 per month fee that includes 10 hours of…

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Q: Find all integers x (if there exist any at all) such that x^2 + 5x + 6 is prime. Justify that your…

A: We have to find all integers x (if there exist any at all) such that x^2 + 5x + 6 is prime.

Q: - 81 = 1 1 1 1 S2 = 0 A 1 1 1 1 S3 = 0 H 1 Solve these equations Sy = b with S1, S2, S3 in the…

A: Given thatWe have to solve the equations  with

Q: Anna was born in 1997 how old was she in 2012

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Q: A volume is described as follows: 9 2 - -x² and y = 0 1. the base is the region bounded by y = 9 2.…

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Q: What is the Laplace Transformation of this equation 5e³te²tt² + e²t cosh2t 2t

A: We have to find the Laplace transform of the following functionWe know that1)    ,  if 2)    , n =…

Q: 1. The function f is continuous on the closed interval [1, 13] and has values as shown in the table…

A: Using right Riemann sums, we will approximate the value of the integral.

Q: Show that the following explicit solutions satisfy the ODE. Then, determine the unique solution to…

A: We have to show that the following solutions satisfy the ODE. Also we have to determine the unique…

Q: The graph of the function fis given below. Find lim f(x) x--1° 0-3 1988 02 00 0-1 O Does not exist

A: For the first problem,    We see, when x → -1 from the left, i.e., when x → -1- , then, f(x) →  .…

Q: 1) Consider a magnetic rod of finite length L, radius a. Imagine that we have set up a permanent…

A: The objective of this question is to sketch the H-field (magnetic field intensity) for a magnetic…

Q: 2 Find explicit formula ao = 1, 9₁ = 2, an = an-₁ + 2 an-2, ti untumemial meth

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Q: find the residues of z/(1-z^4) at z = i

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Q: Answer the next question (b)

A: A population of bacteria is currently 2.5 million and increasing by 85% per hour.To find out when…

Q: Draw arrows from (0, 0) to the points v = (1, 2) and w= (-2, 1). Multiply their slopes. That answer…

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Q: Show that the function u(x) = 3(1-2/|x|) is harmonic in Ω whenever Ω does not contain 0.

A: To show that a function u(x) is harmonic, need to demonstrate that it satisfies the Laplace…

Q: A torus of radius 2 (and cross-sectional radius 1) can be represented parametrically by the function…

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Q: Ax. 7. Let A be an m x n matrix. Consider the linear transformation T(x) Prove the following: (a) If…

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Q: 3. Consider the function f(x) = ii) intercepts a) Determine the key features of the function: i)…

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Q: 4 What is the maximum number of zeros for a polynomial function which is degree 5?

A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first…

Q: Like we did for the linear model, we will start building from the recursive equation. Fill in the…

A: The given pattern is .The aim is to complete the pattern for  and find the formula for  and also…

Q: A robot is on a mountain whose height is given h(y)= exp(-x² - y²) If the robot is in position…

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Q: A graphic designer has to carry out a job where he has 180 cm' of printed material, leaving 3 cm of…

A: A graphic designer has to carry out a job where he has of printed material, leaving  of top and…

Q: Let F: R81 → R³3 be a C¹ function. Determine the number of entries contained in the Jacobian matrix…

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Q: 2. Express each of the following quadratic forms as a matrix product involving a symmetric…

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Q: 5. Lathi Prob. 1.4.6. (e), (g), (h) (See below) 1.4-6 Evaluate the following integrals:

A: 1.4-6 (e). Given that the integral is                                                     To…

Q: 2. A company's profits and losses during a 15-year period are shown in the Table. a. If x represents…

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Q: 2. A photographer uses a light meter to measure the intensity of light from a flashbulb. The…

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Q: A friend is using the equation Pn = 4600(1.072)" to predict the annual tuition at a local college.…

A: EXPONENTIAL GROWTH:If a quantity starts at size and grows by  ( in decimal, ) every time period,…

Q: 17. Consider the ellipsoid given by y² 9 4 16 (a) Find the intersection of the plane y - 2 = 0 and…

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Q: One way of getting the Laplace Transformation of getting the Laplace Transformation of a function is…

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Q: The parallelogram with sides v = (4, 2) and w = (-1, 2) is a rectangle. Check the Pythagoras formula…

A: Given that :The parallelogram with sides is a rectangle.We have to check the Pythagoras formula…

Q: value investing Ogrowth investing O top-down Neale is the portfolio manager of a highly successful…

A: For the first question,We are to find out the statements applies to the account suitability and…

Q: If v + w = and v E ST compute and draw the vectors and w.

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Q: Write x³ 3x² - 10x + 24 ≤ 0 in factored form by using either synthetic or long division and then…

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