Evaluate: |2 esin dx, for n=8 using (a) Trapezoidal method, (b) Simpsons Method

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Q: O If f (y) > f (x*) for any y in R", then x* is the global minimum. If f (y) > f(x*) with ||y – x*||…

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Q: 2. Consider the function f : Ro → R: TH x*e-² In |x| and the set U = {x € R, : f(x) > 0}. Which of…

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Q: Exercise (3-2): find Fourier series on [0,2n] Question Answer (1) f f(x)%=sinx sin x (4) f(x)=cos x…

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Q: NiHNZ Sub modute iffSNzo NZENI

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Q: 5. Evaluate determinant D by: c. Chios Method 6 4 12 16 6 8 8 14 14 4 A = 4 6 16 12 2 2 10 18 10 14…

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Q: . Pivot as indicated in the simplex tableau X1 X2 X3 X4 X5 0 | 56 1 40 -1 -3 -2 0 0 1 2 4 1 2 2 1

A: Introduction: The pivot or pivot element is a matrix or array element that is chosen first by an…

Q: ) Use Reduction of Order to solve the following DE (even though it can be solved using the…

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Q: Suppose p and q are distinct prime numbers. Find the number of positive integers x ≤pq such that…

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Q: Möving toa Question 5 [CLO-1] The Which candic O Candidate O Candidate C O Candidate A O Candidate B

A: count the 6 choice votes to find the candidate with the most last place votes

Q: 4. Is the graph below bipartite? If so, list the vertices in the one part and the vertices in the…

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Q: Use Green Theorem to Evaluate |yx²dx – x*dy where C is left half of x² + y² = 25

A: To use Green theorem to evaluate the below integral. ∫cyx2dx−x2dy, where c is left half of x2+y2=25

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A: To find the number of three letters arrangement make from PINGUIN .

Q: A thermometer reading 60° F is placed in an oven preheated to a constant temperature. Through a…

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Q: There are 15 members in a club: (a) How many ways are there to choose 10 members to form a…

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Q: Determine the general solution to the vector differential equation x '= Ax with A = [2030-40 -30 2]…

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Q: To help with the startup costs of his new dental practice, Tony is taking out a $56,000 amortized…

A: Loan Amount =$ 56,000 Interest rate =8.5% pa                     =8.5%12 Monthly payment =$694.32

Q: (3) Let A0 f(r) = if r < 0 is a probability density function. (4) Recall that, given a probability…

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Q: B. Exterior Angle Inequality Theorem Given: Δ ΜΝΟ Prove: mLM + m²N = MLACB

A: To prove the below statement in the given triangle ΔMNO. m∠M+m∠N=m∠MOP Note: There is a typo in the…

Q: 5. Evaluate determinant D by: c. Chios Method 6 4 12 16 6 8 8 14 14 4 A = 4 6 16 12 2 2 10 18 10 14…

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Q: iyz(x)= 20 (1) x-by=D0 (2) A) yo= (1 Blyn= C + 20 Cz こ (1 Cz e 2+x-2

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Q: Consider the continuous function f: R →R, the graph shown below, if we know that a,b,c x1, x2 , X3…

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Q: 1. Use Gaussian elimination to find the solution for the given system of equations. x + y + z = 3 x…

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Q: a) Prove that if linear transformation T: U → V and S: V → W, then the composition (S.T) : U -> W is…

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Q: Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. If…

A: We have to find the circulation for the given field using greens theorem where  F(x,y)= (x2+y2)i…

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Q: Let S be the quadric with equation 36x2 – 4y2 – 922 – 36x = 0. %3D (a) Classify the graph of S. (b)…

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Q: Show that a6 +.

A: We start with the RHS of the identity and show that it equals the LHS. The detailed proof is given…

Q: Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. = 13, x, = (1, 2,…

A: Note: Let A be a square matrix and x be an eigen value of A. A non-zero vector V is said to the…

Q: Solve the given ODE using Laplace Transform x"(t) – 4x'(t) + 4x(t) = 4e2t; x(0) = –1,x'(0) = –4 %3D

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Q: 3. (a) Determine the value of coefficient a for which the vector field F = (ayz + 22, 2.02?, 6ryz² +…

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Q: consider the equation solution of the differential equation is of the form y" + ay' + by = f(x),…

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Q: Find the work done by F over the curve in the direction of increasing t. F = -8x i + 9x 3y 4 j +…

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Q: Use (1) X = eAtc (1) to find the general solution of the given system. 1 1

A: Given system is X' = 111111-2-2-2 X Take X' =A X Here, A=  111111-2-2-2

Q: Which of the following statements is (are) false if all vectors are in R"? O None of the statements…

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Q: a. Convert the following number to decimal form by expanding in powers. 10010 two

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Q: (1/2 sin e cos 1 (cos a cosec 8) de (1-cos a ||

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Q: 20 Y1 (1) = ÷ 42(x) = It is known that are solutions of the differential equation z*y" – by = 0, ,…

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Q: 7 Find the inverse of the following one-to- one functions: a fix) = x for xso b fix) =-x c fix) = 2x…

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Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) (2x² – 7x…

A: Introduction: A continuous function in mathematics is one in which a continuous variation (that is,…

Q: 15. Let x = (x1, x2). Using the feature mapping show that *(2,3)·¤((4,4) –-(2,3)·(4,4)*

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Q: Solve by Laplace transform Utt – 9urz = 0, 0 0 %3D u(0, t) = u(r, t) = 0, %| %3D u (x, 0) = 0,…

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Q: Linda bought an 8 foot long piece of framing to frame her 2 college awards. One award is 8.5 inches…

A: Convert 8 foot in inches.