Σ1 (3)* (?)² i=1 ►Give a combinatorial proof of the following identity (3η) = (²n) HINT: Remember that (?) = (₁²²)

Q: Let S be the square in the zy-plane shown in the figure below, oriented with the normal pointing in…

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Q: f(x) = x² - 2x - 15 MEANIN PUSASTIHEN CONTA HELLFIE THEATER FREE REFERENC ARAORIENTRENA

A: Graph of the function

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Q: Find the mass of the lamina that is the portion of the cone z = √x² + y² between z = 1 and 2 = 4 if…

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Q: 4. Find the Lagrange and Newton interpolate polynomials P3(x) of nodes (-1,3,5), (1,-5.5), (2,-1),…

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Q: 8. Iff₁=e¹x,f₂=e³x and fi,f2 and f3 are linearly dependent, the f3 could be (A) sin(3x) (B) ex (C) e…

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Q: Rewrite the following sets using the set builder method: 1. A = {4, 7, 10, 13,… } 2. B = {-4,3} 3. C…

A: The given problem is to rewrite the given following sets using the set builder method.

Q: Compute the integral $12)=3/2 (2¹0 + 1)(2+2+1) (z¹2 i) dz

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Q: -2e -2t 4 3 -3x -16x²-5cos (x√√2) -5cos(x√2) 2 3

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Q: Create a spreadsheet similar to the the spreadsheet in Figure 6.1.1. Use your spreadsheet to find…

A: Create a table in Excel for mod(10n, 111) for 0 ≤ n ≤ 8. The formula in cell B4 is ‘=MOD(A4,111)’.

Q: 128 128 suppose that Σ α = -3 and b₁ = 3. Compute the sum. i=1 i=1 128 Σ( - 17a; - 12b;) i=1

A: As per the policy of bartleby the provisions is to solve only one question at a time now I am…

Q: Differential operarators (D-operator) Find General Solution; yhtyp (Ď+7B+201³+23B+19D+5)y=2&

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Q: Given the tables for g & m below, find the following: r g(r) m(r) 0 8 7 1 4 9 2 6 6 3 0 3 4 7 5 5…

A: Given: Table showing the values of gr and mr with respect to r.To find: Average rate of change of m…

Q: 1. For the matrices A and B given: -3 5] 2 1 A = - 3 (a) Find the determinants of A and B

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Q: The principal normals to a given curve are also principal normals to another curves. Prove that the…

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Q: Find the Laplace transforms of the following functions: 1. -2 cos 6x + 5 sin 6x 2. 4xe-3x

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Q: Use Newton's Method to estimate a root of the function f(x) = 3x + 1 – eª Use the initial estimate…

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Q: a) Which of the following systems of ODEs is autonomous and dynamical? OIII, where 1: y₁ = e…

A: This problem is from dynamical system. The problem has been solved step by step. See the…

Q: Use Newton's method to approximate a root of the equation x³ + x + 3 = 0 as follows. Let x₁ = − 1 be…

A: Given that:  x3 + x + 3 = 0 f(x) = x3 + x + 3 x1 = -1 Now, differentiating the f(x)  We get, f'(x) =…

Q: Prove that at the point of intersection of the surfaces (1) where y = x tan 0, the radius of…

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Q: . Express the generating function of the sequence (c) in closed form where C = (r+1) 3+1. (r+2) for…

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Q: After looking at the problem explain what you would do first and then second following order of…

A: Given, (2x-3)(3x+5)-(x+1)(2x2-6x+3)

Q: 3. From results obtained in Secs. 21 and 23, determine where f'(z) exists and find its value when…

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Q: y'"'+12y " +36y'=0; y (0) = 0; y'(0) = 1;y" (0) = -7

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

Q: what is the current yield as a precentage?

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Q: 2) Traceable. Which of the following graphs are traceable, and why? ☆

A: Given graphs are: We have to tell which of the given graph is traceable.

Q: Use the finite difference method and the indicated value of n to approximate the solution of the…

A: Given : y' - 8y' + 16y = 1 , y0 = 1 , y1 = 0 ; n = 5   To solve : The boundary-value problem.

Q: ƒ (x) = Ï csc³ (t-1)dt at x = 2 2-x कर

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table.…

A: The given function fx=sin x. We have to find the tangent line approximation at the point x=2.

Q: solve#3 please! SHow all of your work on pictures and show every step. SHOW WHAT METHOS YOU USE SHOW…

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Q: Determine the flux of the vector field F(x, y, z) = (x, y, z) across the portion of the paraboloid z…

A: Given: F→x, y, z=x, y, z , z=3-x2-y2 , z=-1 To find the flux of the vector field.

Q: f(x) = 3x2 + 2x - 5 then f(-2) =

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Q: 5. Find the integral of the function f(x, y, z) = z over the solid bounded by the surfaces z = 12 -…

A: We can find the integral.

Q: This question concerns the linear transformation t from Question 3, given by t: R³ R³ (x, y, z) (2x,…

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Q: Consider the following matrix: -18 0 5 0 20 -30 -3 10 0 40 0-30 0 A = 0 0 0 0-30 -15 0 5 0 17 a)…

A: A=-1805020-30-31004000-300000-30-1505017

Q: (a) State which of the following matrices are in row-reduced form: 1 0 4 -1 1 -1 0 - - ( ) --- ()…

A: This is a question of linear transformation.

Q: Solve the system, x' = Ax+b A = = [10 4 27]. b = [100] e6 2₁ = 6,0₁ = [¹]

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Q: Which of the following is true about the quadratic fit to the three points: (1,0), (3,2) and (5,3).…

A: There are given three points (1, 0), (3, 2), and (5, 3). our goal is to find the quadratic equation…

Q: - (3) Prove that the sequence C(2n, k) = is increasing for k=0, 1, 2,..., n.

A: We know that C(2n,k) is maximum when k= n

Q: Intersections in England are often constructed as one-way "roundabouts," such as the one shown in…

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Q: 7. Use Romberg method to calculate dx.

A: Let the given integral is    I=∫2812xdx                     Take  f(x) = 12x  ,   a  =  2…

Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

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Q: 1. Let A = {1,2,3}, B = {4,5,6}, C = {7,8,9,10}. C are defined by f(3) = 7, The functions f : AC and…

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Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

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Q: 7. 8. Does the function /(x)=2x²+x-3 satisfy the conditions of the Mean Value Theorem on the…

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Question 7: BC Place Stadium in Vancouver, British Columbia, is the world's largest cable-supported…

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Q: 4. 5. x+2 Does the function f(x)** satisfy the conditions of the Mean Value Theorem on the interval…

A: We will check the condition of Mean value theorem and Rolles theorem 1st and then find value of c

Q: give a clear and detailed proof of the following: if f: A implies B is a bijection, then f-1 : B…

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Q: -5<x<0 0≤x≤1, ther (11, 1<x<5 If f is the Fourier series of g(x)=9x, f(x) = 0+ ]) cos (152) + (sin…

A: Given: gx=0,-5&lt;x&lt;09x,0≤x&lt;111,1≤x&lt;5 and f is the Fourier series of g(x). We have to find…

Q: .... Consider all permutations of the set {1, 2, n}. Prove that the average number of fixed elements…

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