Example 8.25. Evaluate x + 2x + 1 Jo 1+ (x + 1)². dx by Gaussian 3-point formula.

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5) 2=2y, the…

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Q: 1. Find the Fourier series representation of f(x) = { x ² 0, -π< x≤ 0 0<x< T X, **Box your answers…

A: According to guidelines we can solve only one problem.

Q: Find the area bounded by the curve y=- 16 A 10 square units B) 16 square units Ⓒ 8 square units (D)…

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: 3. a) Compute: f (Rez-32) dz where I is a directed line segment from z=0 to z=i. b) Let C be the…

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Q: Q1) Given the equations: 10x1 +2x2x3 = 27 -3xl-5x2+2x3 =-61.5 x1 + x2 +6x3 = -21.5 (a) Solve by…

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Q: Let f(x) = (3-3x) 5 f(x) has one critical value at A = For x A, f(x) is Select an answer ✓ Select…

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Q: 5 Lim 9-5 -4 dx 2 -x²-8x-15

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Q: c) Set up the objective function. d) Suppose that in the optimal solution for this problem, a…

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Q: A ball is thrown from an initial height of 5 feet with an initial upward velocity of 35 ft/s. The…

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Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

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Q: Which is Larger? 2015/2015! OR 2016/2016!

A: We need to identify , which of the following number is larger. 2015 !2015    or  2016 !2016 This can…

Q: Example 12.14. Find an optimal solution to the following L.P.P. be computing all basic solutions and…

A: The problem belongs to the concept of L.L.P.

Q: DIE the solution. оn If ind a) зхун 6 x2y! +12 xy=ex+о I the value

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Example 10.2. Find the value of y for x = 0.1 by Picard's method, given dy y-x dx (P.T. y + x³y(0) =…

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Q: 1.4 Compute the value of ₂ (sin x − log x+.e* ) dx using Simpson's th rule. 8 0.2

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Q: verse of a Matrix I. Use the determinant test for no singularity to determine hether items 1-5 of…

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Q: (a) Consider the following differential equation, 2y' + 3y − 12xy¾ = 0, y(0) = 1. (1) (i) Consider…

A: NOTE:Kindly repost the other question as a separate question.

Q: Use Polya’s Four Steps to solve the following problems. Susie’s age this year is a multiple of 5.…

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: Example 10.12. Solve the following by Euler's modified method dy = log (x + y), y (0) = 2 dx. at x =…

A: Solution: Given, y'=log(x+y) y(0)=2 Applying Modified Euler method: f(x,y)=log(x+y)…

Q: Example 9.6. The integers 0, 1, 1, 2, 3, 5, 8, 13, 21, sequence. Form the Fibonacci difference…

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Q: A man borrows ₱40,000 loan at an interest rate of 4% for 8 years. QUESTION: If the loan is made…

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Q: (a) Find the intervals where f(x) is increasing and decreasing. Hence, find the local maxima and…

A: Note: As per our policy, we are allowed to answer only first two part of question kindly post…

Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = secx about…

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Q: Given that A and B is a group. Find out if þ: A→B is a homomorphism. If it is a homomorphism, also…

A: Group homomorphism is nothing but a function defined between two groups. The function must be closed…

Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

A: Solution:-

Q: Suppose we want to choose 6 colors, without replacement, from 13 distinct colors. (a) If the order…

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Q: 3.) x + y + z = 6 y + 3z = 11 x - 2y + z = 0

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Q: Given that A and B is a group. Find out if : A→B is a homomorphism. If it is a homomorphism, also…

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Q: I'h[f(xo) + f(xi) hip. + fino T p1- 호 Fer

A: We derive the trapezoidal rule for approximating                               ∫abf(x)dx

Q: The following data define the sea-level concentration of dissolved oxygen for fresh water as a…

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Q: Sketch the region of integration and set up iterated integrals for both type I and type II orders of…

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Q: QUESTION 17 The volume of the solid generated by revolving the region bounded by x² = 4y b formula…

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Q: Which of the following function has the Macularin series (-1)"4"x² [(-1)"4" 1 n=0 A. 1 B. 1 - 2²

A: Given the Macularian series                                 ∑n=0∞-1n4nx2n

Q: f(t) = 4t³ sin t

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Q: constants. ple 9.2. From y₁ = A2" + B(− 3)", derive a difference equation by eliminating the

A: Given, yn=A2n+B(-3)n   1 Replacing n with (n+1) and (n+2) in the above relation…

Q: Use Simpson's Rule to evaluate the following. n = ·3 1 dx 1 + x² 2

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Q: 20. Sketch the region enclosed by the given curves. Then find the area of the region enclosed by the…

A: As per our guideline, we are supposed to solve only first three subparts, kindly repost other…

Q: Example 12.32. Four jobs are to be done on four different machin es) of producing ith job on the jth…

A: Number of rows = 4 Number of columns = 4 Therefore the problem is balanced find the minimum element…

Q: Consider the equation du 2y = 0, y(0) = a. Let I = (-1, 1). Which statement below is NOT true? (A)…

A: First we can solve using separable method

Q: Let F be a field, and let f(x) be a nonzero polynomial in F [x]. Then splitting field of f(x) is an…

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Q: s+10 (s²-s-2) B:1: Solve 1. L{t²cosat} 2.L-¹ { {}

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Q: Consider the division of two polynomials: f(x)=(x-c). The result of the synthetic division process…

A: Part (a) We have the coefficients of the dividend are 1  -2   -13   -1  -48 So, the dividend is:…

Q: first 4 terms of the Taylor series for : f(x)=sin лx near a=0.5

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Q: s these functions O(x) ? f(x) = 10 f(x)= 5 logx f(x)= x2+x+1

A: The big O notation is very significant in analyzing a function. It represents the efficiency of a…

Q: Q4. Paul took some money to buy some bags. Each bag cost the same price. If he bought 7 bags, he…

A: The system of linear equations in two variables has great importance in real life. Many real life…

Q: Exercise 4. Show that the function f is not differentiable at (0,0) f(x, y) = x³ + y³

A: We have given that ,  fx , y = x3 + y33 Here , ∂f∂x = 3x23x3 + y323 ∂f∂x = x2x3 + y323 At , x , y =…

Q: The real part of csch (2-j3) is O -0.5118 O none of the other choices O -3.5906 O 9.8844 O 1.0357 O…

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Q: If a child accidentally swallowed 2 fluidounces of FEOSOL Elixir, containing 2/3 gr of ferrous…

A: The unitary method is a very important method that is used in mathematics. When the value of a…

Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: We will use integral to find total force on the side of trough .