State whether or not the relation below represents a function and state its domain and range. a. b. Age 10 3 11 21 Peta 123 4 S678 9 10 Function (YES or NO)? Function (YES or NO)? D= D= R = R =

Q: Q1/ Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75) =…

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Q: 4 For what value(s) of x is the function f(x) 2x2- 6x | NOT continuous? A. x=0 andx= 3 B. x = 3 only…

A: We need to find points at which f(x)=42x2-6x is not continous.

Q: Find a particular solution to -18.5e-21 y" +4y +4y = t2 + 1 Yp =…

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Q: 1-2Z 212-1)(2-3) 21=2 Lined the resdue

A: We have to evaluate the given integration.

Q: Prove that x? – 34y? = -1 has no integer solutions. (Hint: First find the minimal positive integer…

A: As per the question we have to prove that the equation : x2 - 34y2 = -1 Has no integer solution, bu…

Q: Q1/ Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75)…

A: Here              x0=-0.75, x1=-0.50, x2=-0.25, x3=0.and y0=-0.07181, y1=-0.02475, y2=0.33494,…

Q: -2 7 dx (d) 2 + cos (x)

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Q: The volume of the solid enclosed above by p = 5 and below by ø = x16 is Select one or more: O a. (2…

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Q: **: 2 is a primitive root mod 13 : Find a solution to x^5 ≡ 11 mod 13 you have to explain well how…

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Q: • Use False Position Method. Compute Es according to 4 significant figures according to the formula…

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Q: and f p5

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Q: Solve for y in terms of x (isolate y on one side of the equation and put all the other variables and…

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Q: 142 Q2. Let A = Determine a basis for each of the subspaces CS(A"), |3| 316 N(A), CS(A), and N(A").

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Q: ) If we substitute the polar coordinate x = r.cos0 & y = r.sin0 continuous function w-f(x,y) that…

A: Here we use basic chain rule to Show this

Q: Find the splitting field of x4 + x2 + 1 over Q also find its degree over Q.

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Q: Q3) Use the Newton-Raphson method to find the root of f(x) = -0.5x *(4 – x) – 2 with initial guess…

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Q: PROBLEM 2. Let X(t) be a Brownian motion t > 0. Use the definition of the stochastic integral to…

A: Dear student I've started working into your question. I assure you that I will perform my best and…

Q: Q14 Suppose that C is the graph of a smooth vector-valued function r(s) parametrized by arc length…

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Q: dx In x

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Q: of Zzyzx has been decreasing linearly for the past 7 years when the population was 2550. This year…

A: In this question, the concept of linear equation is applied. Linear Equation An algebraic equation…

Q: 5. Classify the given quadratic form. Make a change of variable x = Py, that transforms the given…

A: Given the quadratic from  Qx=x12+4x1x2-2x22 To make the quadratic form comparable to xTAx, we must…

Q: Don

A: Here we define Fourier Series, and find the coefficient of Fourier Series.

Q: Find the mass and center of mass of the S solid bounded by the paraboloid z = 8x? + 8y2 and the…

A: We have to find mass and enter of mass of the S solid.

Q: (x^2-x)y"-xy'+y=0

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Q: Tacoma's population in 2000 was about 194 thousand, and has been growing by about 10% each year. a.…

A: Introduction: The rule of 72 is a very significant formula in mathematics. When there is a uniform…

Q: Find the area of this parallelogram. Be sure to include the correct unit in your answer. 10 yd 12 yd…

A: Area of the paralleogram

Q: For non-null matrices A and B, of the same order, which of the following statements is true? А. А -…

A: We want to find true statement.

Q: 4. Find the number of surjections from (1, 2, ... , m) to (1, 2, ..., n) such that no element in the…

A: The number of surjections from a set with m elements to a set with n elements can be formulated as…

Q: Problem 3 Let R be the relation on the set of ordered pairs of positive integers such that ((a, b),…

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Q: 2. Consider the following system of two linear equations: 0.0003x1 + 1.566x2= 1.569 0.3454x -2.436x2…

A: Solution of the system of linear equations using Gauss elimination method

Q: write the Princi fal Partof the function at itsisamtal Singular Point and detelmine whether the…

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Q: The graph tipndormation of the grspn of the ధ్యాయండన వీ tunction. by Sha's left/Right How many unts?…

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Q: axlx=0 11. Find the solution of the heat equation if the boundary conditions are 2x 0 < x < ди 0,…

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Q: Q3/ The value of k such that P2 (1) = 2.8, k 4 1 2 Is

A: P2(x)=(x-k)(x-4)(2-k)(2-4)×0+(x-2)(x-4)(k-2)(k-4)×1+(x-2)(x-k)(4-2)(4-k)×22.8=(1-2)(1-4)(k-2)(k-4)×1…

Q: 25. у" - 2у' + у 3 21- 3, y(0) = 5, y'(0) = 11

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Q: Let x(1) = c,cos(5 t) +c,sin(5 t) be a two-parameter family of solutions of the Let y =c,e*cos(5 x)…

A: To find which of the given option is correct, about the given differential equation :-

Q: e relation on the set of ordered pairs of positive in +c. Show that R is an equivalence relation.

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Q: Qs: Solve the fallowing differential equation a) X y?y'= x*4 2yH

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Q: Find the gradient vector field Vf of f and sketch it. f(x, y) = x2 - 4y Vf(x, y) = y y 6h 6 4444…

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Q: Evaluate the integral by changing to cylindrical coordinates. V 16 - x 2 16 - x2 - y2 x2 + y2 dz dy…

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Q: 1. Solve the following linear systems using Cramer's Rule and Gauss Elimination Method. 0.5x + 3.5y…

A: Since you have posted a multiple question according to guildlines I will solve first question{Q(i)}…

Q: Let 9 P = 15 2e3t – 6e 3et – -4e3t + 2e -6e3t + 5e¯ ỹ1(t) [3e - 15e+| V2(t) = a. Show that j1 (t) is…

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Q: OShow ghat the equation z%-52²+3=€ has no 2. on the imeginery anis ond poecisely Two Solu tons En…

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Q: Find a particular solution to -8.5et y" – 4y + 4y = t2 +1

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Q: 4. The area of the region between the curve y=x and the line y=4 is divided into equal partitions by…

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Q: Question 1 f(x) = e²* – x,xo = 0, x1 = 1.25 and x2 = 1.6. %3! %3D a. Construct the interpolating…

A: (a) We can use Lagrange interpolating polynomial method to find P2(x) using given nodes.

Q: 3. Determine a quadratic approximation a, + a,x + a,x2 to the cubic function (D(x) = 1.1x3 – 9x2 +…

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Q: Question* The Laplace transform of f(t) = et-2 cos(2t-4) u(t- 2)-e-(cos(3t) - 1)

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

A: We find parametric equations for the tangent line to the curve with the given parametric equations…

Q: Hew.y If the directiondl derivative Valne ( Duf) of the function f(x,4) = x-3xy +uy3 at Paint (-2,0)…

A: Directional derivative of a function f(x,y,) in the direction of unit vector  u→=ai^ + bj^…