explain the nature of mathematics with exaple

Q: (7) (a) Solve the initial value problem z²y + 2ry=6r", y(1) = 1. (b) Use direction field to verify…

A: What is Initial Value Problem: An ordinary differential equation follows a general solution that…

Q: 5. x = A sin (wt + B); w a parameter, not to be eliminated.

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Q: For #1-9, suppose a ball's heights in feet at time t in seconds is given by s(t) = 64 - 16(t− 1)² 1.…

A: 1. Consider the given equation of ball's height, st=64-16t-12 the graph is shown below, it can be…

Q: Given the graph of f(x) = √x as shown, graph the function - 4f(x − 3). 8+ 7+ 6+ 5+ 4+ 3+ 2+ H -8 -7…

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Q: Draw the acquaintanceship graph that represents thatTom and Patricia, Tom and Hope, Tom and Sandy,…

A: Acquaintanceship graph: It is a model used to represent the relationship among people. We use a…

Q: A linear regression model for the revenue data for a company is R = 25.8t+206 where R is total…

A: We use the given data and given regression model to draw the scatter plot along with graph of the…

Q: Find the arc length of C = 1.5 - 2.1 First find and simplify√1 + y2² Now integrate to find arc…

A: Hint: Here in order to solve we will use formula of arc length, L =∫ab1+(y')2dx, where a≤x≤b.

Q: The characteristic equation of the matrix is 2³-122 - 16 = 0. The reduction of the matrix expression…

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Q: Determine whether the graph shown hasdirected or undirected edges, whether it has multiple edges,and…

A: To find- Determine whether the graph shown has directed or undirected edges, whether it has multiple…

Q: Suppose * is a binary operation on a set S. Which statement best describes problem?

A: Given that * is a binary operation on a set S.

Q: Problem 2 CONSERVATIVE VECTOR FIELD -I -Y The vector field F(x, y) = \(x² + y²) (2² + y²)/ is…

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Q: 2. Find P.S. of when y (2x²-xy +y ²) dx − x²(2x-1) dy o y = 1/2. X = /

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Q: the suprema and infima of the following sets: (a) {n EN n² < 10}; (b) {mn|m, n€ N}; n (c) {2+1 n €…

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

Q: pls help

A: Here, for given function we have to find vertical and horizontal asymptote  , x intercept, y…

Q: 7. (a) Find the square root 14+4√6.

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: Determine the solution of the equation 8-4.5(x-sinx)=0 by using the bisection method. Use & = 0.5%.…

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Q: x^2(y')^2 + 2xyy' -15y^2 = 0. Find general solution

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Q: For the following system, if the input X[k]= 8(k+1) +2.4k and output Y[k]= 2(k)u[k], the impulse…

A: What is Z-transformation: When we want to transform a real time discrete sequence into a function of…

Q: If r is the statement "I attended class", s is the statement "I did the homework", and t is the…

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Q: Excercise 5 (Evaluation of the integral from below). Let d be a positive integer. Consider the…

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Q: 1) Find the Taylor Series for sin(x)

A: Since you have posted multiple questions, according to our guidelines we have done first question…

Q: In this worksheet, you will be defining 30 unique matrices denoted by the letters of the alphabet.…

A: Here we defining 30 unique matrices by the letters of the alphabet .  The complete solution in the…

Q: Find an equation for the given sinusoidal function. O

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Q: possible minimal polynomial A, A², A³ -3 1 1 -6 2 2 -3 1 1 A = A #0 A is not minimal polynomial -3 1…

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Q: Find A – B for the following cases: (a) A = 6 units, east and B = 4 units, west; and (b) A = 7.0 m,…

A: What is Vector: Vector is a physical quantity. A vector has magnitude that is the length of the…

Q: f(x+0.0001)-f(x) Use 0.0001 f(x) = -3x² 6x at x = -5.9 6.1 -6 6 4 to determine the instantaneous…

A: Sol:- To find Instantaneous rate of change of  f(x)= -3x2-6x  at x =-2 We have to use the following…

Q: Evaluate the determinant: 0 a1 a2 02 an . . 0 ... . -Y2 X2 0 0 0... In

A: Given: The below matrix is given: To find: The determinant of the given matrix.

Q: find X (Z) if (X(X) = ({})^ et k=2m+1 2 , K=1, 3, 5 odd

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Q: why is the matrix like that?

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Q: Classic Construction Company specializes in constructing buildings with a period-correct…

A: Let cost of purchasing = Cp  Cost of shipping = Cs Newkirk Quantity for Dallas = n1 Newkirk Quantity…

Q: In this worksheet, you will be defining 30 unique matrices denoted by the letters of the alphabet.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: C. Find the standard form of the equation of a circle given the following conditions. 12. Center at…

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Q: 1126 wall work on this paper. All answers MUST be supported by work. NO WORK = NO CRED raphing…

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

Q: Describe a graph model that represents a subway systemin a large city. Should edges be directed or…

A: To sketch: A graph model that represents a subway system in a large city. To check: The edges should…

Q: The graph of a function f is given. YA Estimate 10 [20 1 0 1 f(x) dx using five subintervals with…

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Q: The system of equations: 10x1 + 2x2 + x3 + x4 = -3 2x110x2 + x3 + x4 = -15 10x3 + 2x4 = -27 c1 + x2…

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Q: Ex: Find the F. T. of the periodic rectangular pulse shown below X(t) Sol: (Cn = 1 sin(n+1) * It T₁…

A: Hint: The rectangular pulse is given. We need to obtain the Fourier transformation.

Q: 1. xy dx = (x+2) dy =o

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Q: Evaluate these complex numbers: (a) _2 – j] (b) 6 30° + j5 –- 3 + e45°

A: To find- Evaluate these complex numbers:  j31 + j2 - j2 6∠30° + j5 - 3 + ej45°

Q: Exercise 2.16. Prove the formulas for the equations of lines in the Hyperbolic Half-Plane model.

A: Solution:- In a hyperbolic half-plane model , we use the following definitions ; h-point: any point…

Q: 1.Show that K3,3 is non planner graph

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Q: Consider the initial value problem y′′+y=f(t),y(0)=0,y′(0)=0 where f(t)=u0(t)+2n∑k=1(−1)kukπ(t).…

A: Given: The initial value problem is y''+y=ft with the condition y0=0 and y'0=0. Also, the given…

Q: The Z-transform of the following function f[k] = 2 + .(-5)* - 3 (-4)* is so the constants A and B…

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Q: Problem 2. Find all the roots of the function f(x)=x²-x²+2x-2 using Bairstow's Method given initial…

A: The given function is fx=x3-x2+2x-2. Let the initial estimates u0 and v0 be r=0.5 and s=1.5 . Here…

Q: A root of x-0.5e-2x = 0, which is locate in the interval [0, 1] correct to three decimal places…

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Q: Show that in a simple graph with at least two verticesthere must be two vertices that have the same…

A: Let G be a graph with n≥2 vertices. The minimum degree of a vertex in G is 0, and the maximum is…

Q: EX: Find all residues of f(z) = Sol: there are f(z)= 50 Z 11 11 (Z+4) (Z-1)² 50 Z 32²² +42-7JZ=-4…

A: Residues of the function

Q: The Z-transform of the following function f[k] =22*+/-(-5)* – ²³ (-4)* is So the constants A and B…

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Q: Consider the polynomial P with P(x) = 2x² - 6x³ - 17x² - 9x - 30. (a) Sketch a graph y = P(x) of the…

A: As your post multiple subparts according to the guideline I only solve the first three subparts.…

Q: Find the maximizer of fƒ (x, y) = x² + y² subject to 2x + y ≤ 2, x ≥ 0 and y ≥ 0.

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