Using quadratic interpolation find In 9.2 from In 8.0-2.0794, In 9.0-2.1972 and In9.5=2.2513.

Q: Consider the following graph on the interval -210° < x < 180°: -180 -150-120 -90 -60 -30 6 4 -3 N. 2…

A: Given is a graph where interval is 2100&lt;x&lt;1800   1. To Find: The Amplitude of the given…

Q: (x² − x²)y"+(2x + 1)y'+x²(x+1)y = 0

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Q: Find the directional derivative of f(x, y) = 3x² - y² + 5xy at (2,-1) in the direction of -3i - 4j.

A: given function f(x,y)=3x2-y2+5xy given point (2, -1) given direction u→=-3i-4j We have to find the…

Q: B/ Put the following program in matrix standard form Min (z) = 10x₁+11x2 S.T. X₁+2x₂ ≤ 150 3x₁+4x₁…

A: Note: In the given question, the second constraint has to be of the form 3x1 + 4x2 ≤ 200 instead of…

Q: Part II: Problem Solving. Solve the following: 1. Consider the linear system a. b. 7x + 7 x 2 = 1…

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Q: 1=₁x-e³dx Obtain the numerical integral of the integral by dividing the integral into 5 equal parts…

A: Given: I=∫36x·e3xdxWe have to evaluate the integral using the Trapezoidal method and Simpson's…

Q: issance d'un son. La formule est P = 10log/. où mètre carré et I = 10-¹²W/m². Détermine d'une…

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Q: Q4:A/ solve the following linear programming problem using graphical method Max (Z)=80x+72y S. T:…

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Q: Find the Taylor series of f(x) = Choose the Taylor series. O 1-x 1 1- x 1 1-x - 1-x = = = || = ∞ Σ…

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Q: 3. (a) Discuss convergence of the sequence {n} defined by the recurrence relation ₁ = 2 and n+1 = (n…

A: We have to discuss the convergence of the sequence xn defined by the recurrence relation x1=2 and…

Q: 1) Let A be a Banach algebra with unit, Let at A and r(a) <1 Then (1-a) is invertible and (1-a) ² =…

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Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: (a) Find Maclaurin expansions for sin 2x, cos2x and e³* up to and including the term in x³. ${( 3 +…

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Q: 3. Apply Lagrange's interpolation formula, find In 9.2 with n=3 and the values below 9.5 10.0 11.0…

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Q: Show all work. Write each matrix solution as one matrix. 1. Consider the vector valued functions x,…

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Q: Problem 2. To prepare for summer, Diffy E. Kew is trying out a new lemonade recipe. Through rigorous…

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Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

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Q: Find a linear differential equation with constant coefficients satisfied by e² ³x, and e4x

A: A linear differential equation having auxiliary roots m1, m2, m3,....... have following independent…

Q: The graph of y=√x^2+1 is symmetric about y axis. If 3 up 0 down √x^2+1 dx=a and 15 up and 0 bottom…

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Q: Consider the following differential equation. 3x2y" + 2xy + 9x²y = 0 (c) Find the series solution (x…

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Q: Mathematical modeling is about constructing one or two equations that represent real life…

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Q: AX=B 10 18.5 37.1 18.5 37.1 37.1 78.8 78.8 174.9 [A, B] до a a₂ √2.6 = -14.0 -63.0 10 18.5 18.5 37.1…

A: we have augmented matrix 1018.537.12.618.537.178.8-14.037.178.8174.9-63.0 lets use Gauss Jordan…

Q: 0.9T Using Simpson's rule, evaluate 0.⁹ sin (x) taking h = 0.1?

A: We know that Simpson's rule ,  fx ≈ h3fx0 + 4fx1 + 2fx2 + 4fx3 + ........+ 2fxn-2 + 4fxn-1 + fxn We…

Q: Given the premise set Γ = { p , q , r , s } and ϕ = ( p ∨ q ) ∧ r , what is the degree of…

A: The premise set  Γ={p,q,r,s} and ϕ=(pVq)∧ r The equation mean is, (p or q) and r. We have to find…

Q: 16. CCCS 8th graders need a 2.0 GPA to 'Walk the Stage.' The 2.0 GPA is the average of all three…

A: It is given that the student earned a 2.2 GPA Trimester 1 and a 1.5 GPA Trimester 2. We have to find…

Q: Let F(x) = f(x5) and G(x) = (ƒ(x))5 . You also know that a¹ = 14, ƒ(a) = 3, ƒ'(a) = 8, ƒ' (a³) = 6…

A: Use the following formulae, to obtain the solution. Chain rule for differentiation:…

Q: Q.1: Solve the differential equation below; xy' + 4y = 8 x¹

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Q: Q.5: Find a power series solution of the differential equation, a (0.3); where the initial values,…

A: y''-y=0 Let y=∑n=0∞anxn be power series solution

Q: . Find the critical numbers and then the critical points= of the functions. de 1₁ Y = - 3 Sketch the…

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Q: B/ solve the following linear programming problem using graphical method Min (z) = 300x₁+200x2 S.T.…

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Q: mployees at a company were asked if they are married and if they have children. The results are…

A: Introduction: The act of combining two or more items is known as addition. The process of computing…

Q: Let f(x) = { 3x² + 2, بی کر 2x - 3, if x < 3 if x ≥ 3 be a piecewise function. Evaluate 3 √₁³ f(x)…

A: It is known that: ∫xndx=xn+1n+1+C, where C is the integration constant.

Q: B: Find the solution to the following linear programming problem using the simplex method Max…

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Q: For the given p-series, identify p and determine whether the series converges. P = . Therefore the…

A: A series of the form ∑n=1∞1np is called p-series p-series converges when p&gt;1 and diverges when…

Q: 9. Evaluate the integral = R from z₁ = 1 to Z2 = -1. where C is the above half of the circle

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Q: How is the area y > -1 converted by mapping w = iz ?

A: To find the area means to find the image of the region y&gt;-1 under the transformation w=iz

Q: 2. U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3}, B = {2, 4, 6} and C = {1, 4, 7} i. Find the value of A'…

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Q: Q4:A/ solve the following linear programming problem using graphical method Max (Z)=80x+72y S. T:…

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Q: Which of the following statements is/are TRUE? I. Periodic function is a function that repeat its…

A: Explanation of the answer is as follows

Q: 3. Find the cube roots of zo = 1+ √3i.

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Q: Q.2: Find the trigonometric Fourier series of the periodic function f(t), and show if it is odd or…

A: The given problem is to find the Fourier series expansion of the given periodic function with given…

Q: Find the solution to the following linear programming problem using the simplex method Max…

A: Solution:

Q: 9. 2x+4 4 1+ (x + 2)² 1+ (x + 2)² (b) Using suitable method find [2 tan¹(x+2) dx. (a) Find - dx and…

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Q: 1) Let A be a and r(a) < 1 Banach algebra with unit, let at A Then (1-a) is invertible and ¡M8 (1-a)…

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Q: 3. In the plane R², consider the parametric curve given by the equations [x(t) = cos(t) + 2 [y(t) =…

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Q: Evaluate J₁ 1 E x² + y² + z² x² + y² +2²= 25 in the first octant. dV, where E lies between the…

A: Here we need to use spherical co ordinate system to find value of integral  Relation between…

Q: 3. Consider the following matrix: A= | 1 0 0 1 1 (a) Construct the QR factorization of A. Write all…

A: Let us solve the given problem in the next steps.

Q: 7. What is the frequency of the tangent function represented in the graph below?

A: Introduction: The tangent function is the ratio of the sine function and the cosine function. This…

Q: All polynomial expressions should be written in (5) form, meaning that the terms are placed in (6)…

A: To find- Complete the sentence.  All polynomial expressions should be written in 5…

Q: Questions: 1. What are the geometric means of the positive root? How about the negative root?

A: As per guidelines we are allowed to solve one question at a time so i am solving first one please…