Problem 3: 1.4 [x²exdx, n=6 0.2 actual value: 0.3307076 Evaluate the integral using the composite Simpson's 1/3 rule with the indicated number of equally spaced data, and calculate the relative error: 0.8+ 0.6+ 0.4+ 0.2+ 0 0.6 0.8 1.2 -0.2+ -0.4 -0.2 0.2 0.4 1.4 1.6

Q: 5. Evaluate the following integrals: cos(x) dx dy 4y -1²-y² (b) ff 2-y² dy dx (Hint: Use polar…

A: Some of the properties of integration  ∫cosx dx=-sinx+C∫f(g(x))g'(x)dx=∫f(t)dt∫eaxdx=eaxa+C

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Q: Find a series solution for the following IVP: d²x dx (1+t²). 4t- - +6x = 0 dt² dt with x(0) = = 1…

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Q: 3 x = y + z- w = 2 -x + 2y - z - w = -1 2x - y - z+ w = 4 x + 3y - 2z - 3w = 6

A: 3

Q: Find the Laplace transform of the following: 1. y" - 4y" + 5y' — 2y = 7t — 5, y(0) = 0, y'(0) = 0,…

A: Introduction: The Laplace remodel, like several transforms, converts one sign into some other the…

Q: 8 Find the value of x if A is equal to B: = [₁²₁ 12]. B = [w+z+y+z 6 8 14 A =

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Q: 4. Find the solution for the following y""+y"+ 2y = 3 y(0)= 1, y(0)=1,y)=1

A: Solution :-

Q: Which among the equation represents for equating the coefficient of x form 3x+2 = (A+B+C) x^2 +…

A: To find The equation that represents for equating the coefficient of x. And to find the value of x.

Q: Name the characteristics of the graph that is created by the equation below. Remember that…

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Q: Find the second derivative (i.e., general solution)

A: Note :  Since you have asked multiple question, we will solve the first question for you. If you…

Q: y" - y' - 6y=t²e³t — 4t², y(0) = 0, y' (0) = -1

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Q: 3. y" + 2y' + 5y = t cos(5t) - 6,y(0) = 1, y'(0) = -2

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Q: 1. Prove the following using a truth table. {℗ is a symbol for XOR.) p@q = (pvq) ^ (p ^ q)

A: We will make the Truth table to show the given two statements are equivalent.

Q: Is the following set linearly independent or dependent? S₂ = {1,1+1,2+3t+t²,1+t²}. O Independent O…

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Q: create 2 sample word problems of derivative of trigonometric functions  with solutions

A: Trigonometric functions are the periodic functions which denote the relationship between angle and…

Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: Solution : a) Total revenue of domestic markets, =1200-3x+5y7x Total revenue of foreign markets,…

Q: The integral can be rewritten as (a). 6 6u³ du u+1 6u4 (c). √ ₁²+1² -du dx ³√x + √x √ (b). Sū 6u² u²…

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Q: HOMEWORK 15: Instructions: A. Reduce each equation to a standard form and describe the curve…

A: To reduce the given curve in standard form and deduce the following :-

Q: Consider the solid formed by the boundaries outside the elliptic paraboloid = z and inside the…

A: As per the question we have to formulate the double integral (in Cartesian coordinates) to find the…

Q: Find the power series solution of y" - 2 xy + x²y = 0, with y(0) = 0, y '(0) = 1. Give the first…

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Q: 4. Find the inverse z-transform of (z-a)(z-b)(z-c)

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Q: Calculate the following. Σ=30: i=30 3 + 4i I. 1 II. + …+ 1 512 16 LIT + 1 4 118 +

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Q: The function f(n) = 0.0007n² + 1000n +5 is O O(nlogn) O O(n) O 0(1) O O(n²)

A: Here, f(n) = 0.0007 n^2 + 1000 n + 5

Q: The radius of convergence of the ser

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Q: Example 4.12. Obtain by power method, the numerically dominant eigen value and eigen vector of the…

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Q: 10. The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = [*f(x) dx + [° g(x)…

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Q: A food company is constructing an open-top, square-based, rectangular metal tank that will have a…

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Q: Consider the series Σ(-1) 13. n3 " n=1 3" OA. The series diverges. B. The series is conditionally…

A: Solution

Q: Example 2.399 Solvext5x24+20x²2_400x++600=00, by Newton's method given that all the roots of the…

A: Here, we need to use newton's method to find all roots of given equation.

Q: Write down the identity element e for (G, a). You need not write a proof of the identity law.

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Q: The radius of convergence of the series Place) (-1)" (n!) 0 3-6-9--(3n) -(2x-1)" is equal…

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Q: Example 2.25. Find a real root of the equation cos x = 3x - 1 correct to three decimal places using…

A: Here, we need to use Iteration method and Aitken's Method to solve given equation.

Q: Let X be a set. Let P be a set of subsets of X such that: • if A and B are distinct elements of P,…

A: This is a problem of set and Relation.

Q: As machines are used over long periods of time, the output product can get off target. Below is the…

A: The coefficient of determination is equal to r2, where r=n⋅∑dxdy-∑dx⋅∑dyn⋅∑dx2-(∑dx)2⋅n⋅∑dy2-(∑dy)2.

Q: Imagine that a manufacturing needs to produce 240 products weekly. The company has three…

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Q: Convert each pair of rectangular coordinates to polar coordinates where r> 0 and 0 ≤ 0 < 2π.…

A: To convert each pair of rectangular coordinates to polar coordinates where r&gt;0.

Q: QUESTION 2 Let S be the following relation on C: S = {(x, y) = C²:y-x is real}. Prove that S is an…

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Q: For the equation y arcsinh (2/2), show that: -) we can write y-In (+√2²+4), ) for small z we have y…

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. The x-coordinate of the centroid of the…

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Q: 5. Evaluate the following integrals: (a) 6³5 S cos(x) dx dy 4y (b) √ √²-²-²) dy dx (Hint: Use polar…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Question 1 A body cools from 72°C to 60°C in 10 minutes. How much time (in minutes) will it take to…

A: Newton's cooling law is used

Q: Solve 1 + 7xdx manually

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Q: 4,7. Dra 2a + brz lg 2,3.D X7 - lg ZA Z₂² 2.3.0,068 16.0,07.0,7653² Aew2= dew2= 4,7.0,068…

A: A calculator can be used to evaluate complex mathematical expression.

Q: How many edges does a tree on 9 vertices have?

A: A tree with n vertices has n-1 edges.

Q: Find and classify all critical points of the function f(x, y) = x³ + 2y²¹ – In(x³y³)

A: The given function is: f(x,y)=x3+2y4-ln(x3y8). Task: To Find and Classify all Critical points of the…

Q: Region bounded by y=1/3x, x=y,and  x=6. Region is revolve about the y axis. Find the volume using…

A: We have to find the volume of the region bounded by the the curve y=13x, x=y and x=6 revolved about…

Q: If x,> 8 and x n+1 = 2 - for nEN. Then the limit of x is equal to 21 11 ***...

A: To find the limit of xn :-

Q: 24. In order for a linear programming problem to have a unique solution, the solution must exist OA)…

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Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. The y - coordinate of the centroid of the…

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