Estimate integral 9 to 4 of sin(x^2) dx. Using R3. Round your answer to five decimal places

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Q: Prove that xP -x divides x -x over F, if and only if m divides n. Let n= km+r, 0≤r<m. Then x²-1=…

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Q: 20. (-1)" ntan-1η Σπι

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Q: absolutely, converges conditionally, or diverges.  Show all your work and state your reasons…

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Q: (c) The manufacturers of these paper filters require that the sector's area, A, is a fixed constant.…

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Q: (Find the family of solutions of the separable equation): (x − 5)y² – ²²(y² — 4) - a) In r+-+=y=0 b)…

A: Given, x-5y3-x2y2-4dydx=0

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Q: 17) A mass weighing 32-lbs stretches a spring 6.4 ft. Suppose that the mass is displaced an…

A: 17) It is given that a mass weighting 32-lbs stretches a spring 6.4 ft. Now the mass is displaces an…

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Q: Given below is the principal owed on a student loan last​ month, the annual interest​ rate, and the…

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Q: Consider the parallelepiped determined by the vectors A = (3, 1, 0), B = (1, 3, 0) and C= (1, 1, 1).…

A: Consider the parallelepiped determined by the vectors   a=⟨3,1,0⟩, b=⟨1,3,0⟩ and c=⟨1,1,1⟩ The…

Q: 3. Find the area of the given surfaces a) The part of the plane 3x + 2y + z = 6 that lies in the…

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Q: Let u € R³ and W = span ((1, 1, 0)", (1, -1,0)). With respect to the standard inner product, which…

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Q: 57. Find UA; and A; if for every positive integer i, a) A₁ = {-i, -i +1,...,-1, 0, 1, ..., i -1, i).…

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Q: 4 -x1   + 2x2  +     3x3               - x5  +  15x6 = 10 -2x1 -  3x2  +   13x3  -  3x4  -  2x5  -…

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Q: ady Practice: Find Equivalent Fractions — Quiz - Level D 8 Complete the equation to show how many…

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Q: Consider the solid region that lies above the paraboloid Z=x^2 +Y^2 and below the plane z = 4 . Set…

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Q: If the vector from RCS (4, – 2,4) to SCS (3.5,105°,34°) İs R=Ra +R a +Ra P Evaluate -R-2R + 3R p Z

A: Given: The coordinates of the rectangular coordinate system i.e., RCS is given as 4,-2,4. The…

Q: Given the vectors Ã= − a₂+5a - 3a B=11a -0.5a +2.5a Evaluate the following |A|(2a + B)

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Q: Find a basis B for the span of the given vectors. 3 0 HG 0 1

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Q: Find the particular solution. (x + 1)dy - 2(x + y + 1)dx = 0; when x = 1, y = 4

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Q: Given the vectors A 10a + 4a - a = X y Z B=2a3a + 5a X Z Evaluate the following 2A + a B

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Q: If A and B are n x n matrices, we say that B is similar to A if there is an invertible matrix P such…

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Q: Consider the inner product space P2 (R) with (f,g) = f(x)g(x)da for every f, g € P2 (R). Construct…

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Q: € R³ and W = span ((1, 1, 0)², (1, −1,0)). With respect to the standard inner pr ion of (3, 4, 5)TE…

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Q: Let p be a prime. Prove that if a is not divisible by p and nm modp-1, then a" a"" mod p.

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Q: A cylinder of diameter 12cm and unknown height is filled with water. The cylinder starts leaking,…

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Q: Let A be an orthogonal matrix (i.e. its columns form an orthonormal basis of R. or equivalently…

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Q: For a convex set SC R", what is the normal cone Ng(x) of S at a point x € S?

A: Kindly refer to Step 2 for the solution.

Q: Maximize: Subject to: x + y x + 2y ≤ 4 2x + y ≤ 4 0≤ 3x ≤ 5 0≤y

A: For the given LPP we have to find the standard and canonical form as well as the basic solution.

Q: 3. Suppose that a store offers gift certificates in denominations of 25 dollars and 40 dollars.…

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A: A relation is represented using a set of ordered pairs. The first elements of the ordered pairs…

Q: 1 given function, F(t) = AF (H) 1 M. 3 لا -3 3 04+2 3 3 -3 -3 <+ ²0 9 15 vt

A: By Complex Fourier series:

Q: ...HW Hwa Salve the following D.F Lyy... ........

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Q: Find the singular value decomposition of the matrix A = Hint: ATA U = Σ = V = = 3625 [3 - 1500 -…

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Q: For each statement, either prove that it is true or come up with a counter example N(ATA) = N(A) ● •…

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Q: Question 1 Given the vectors A = 4a -10a-5a P B=a + 2a - P Evaluate the following - 3a -7az B…

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Q: Prove that 3 divides n³ +2n whenever n is a positive integer.

A: Introduction: Consider a starting point for which the assertion is correct. The proposition is true…

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Q: Problem 1. A thermometer reading 75°F is taken out where the temperature is 20°F. The reading is…

A: Formula for Newton's Law of Cooling is: T(t) = Ts + (To – Ts) e-kt Where, t = time, T(t) =…

Q: Explain why the function is differentiable at the given point. f(x, y) = 3 +exycos(y), (,0) The…

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Q: D Convert each of the folloing volterra integral equation to an equivalent IUP:- UCK) = 1+ 2² -…

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Q: Question 3.1. In each case, use Integration by Parts to solve the indefinite integral and thus…

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Q: AW salve the following DE.... ****** 3 (4.D." 4.D³ 3.D², 4.D. ml).y=0

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Q: HMS solve the following D.E ÿ 7.5 +1.0 = 40.CO.SX_

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Q: How do you find the measure of m?

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Q: 5. List the first 10 terms of each of these sequences. a) the sequence that begins with 2 and in…

A: Since you have posted a multi subparts question according to guildlines I will solve first(a,b,c)…