A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 260 meters. The height of the arch at a distance of 112 meters from the center is to be 33 meters. Find the height of the arch at its center.

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A: We have to solve given Questions.

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Q: Q2/ Analyze the functions below using the fourier series: ーTくx<0 0, f(x) = {ェーX, TT - X, 0s x< T

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Q: 1. Find the power series of the given function (a) f(x)=4x_ 1-9.x? 4.x (b) g(x)- 8 (2 + 6.x } (c)…

A: we will use infinite series and Maclaurin series to find power series of given functions Note : Only…

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Q: Question 1. convergent subsequence. Prove that a metric space is sequentially compact if and only if…

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Q: Problems: 1) write the augment matrix to the following systems then find the solution: x- y+z =1 a)…

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Q: 16 Use the properties of logarithm to simplify the following expressions. a) In e0.001 b) eln r? c)…

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Q: ди ди I Example 11.12. Solve the equation at subject to the conditions u(x, 0) = sin nx, 0Sx s1;…

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Q: Let g(x, y) = x4 + y² – 4x³ + 5x – 6y+3. Show that g(x,y) continuous (actually at least aC')…

A: Recall [ Implicit Function Theorem ]

Q: Consider the following data. 9,13,8,2,10,12 Step 3 of 3 :  Determine if the data set is unimodal,…

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Q: 6. Can you see any seasonal pattern here? Year Quarter Expenditure 1 9.4 2 7.54 1 3 2 4 4.69 9 2 8.2…

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Q: a) Three Sets Å, B and c. EXER:2ト_xS Ex ER: X S 23 EXER: -2 Ź x <3} Fallaws. 4. are A = R £QUIRED…

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Q: Prove that an angle of θ radians is constructible if and only if the real number cosθ(sinθ)…

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

Q: 2. Using left side of the divergence theorem, find the total charge enclosed in the rectangular…

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Q: A 50-mg sample of a radioactive substance decays to 34 mg after 30 days. How long will it take for…

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Q: 1 dx. V2x? -8x+2 6. Find

A: The integration formula for the integral ∫1x2-a2dx is given by ∫1x2-a2=ln|x+x2-a2|+C. First,…

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Q: The profit function for a company selling x units of a certain commodity is given by P(x) = -1500 +…

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Q: O find othonormal bases: O x-2y-32 =0 W x+y+ 27=0

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Q: 26. In how many ways can: a. five people be seated in a row? b. eight people line up for…

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Q: 20. [The l'Hospital's rule.] (a) Find the limit lim x In (1 + !), and then show that lim (1+ !)* =…

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Q: Q1: Find a matrix P that diagonalizes A , and check your work by computing P-1AP ; 2 0 -21 1) A = ,…

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Q: f CB) is aelesed Sot at y for eVery closet Set Bat X Prove that fEÃ) cFA)YACX then SupPose CA) <…

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Q: Test for an extremal of the functional π 2 F[y(x)] = |´(y² y²)dx, y(0) = 0, y = 1 2

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Q: 13 I. Evaluate each. 6. C, C, C,

A: The general formula for combination is nCr = (n!)/((r!)×(n-r)!) Then 8C2 = (8!)/((2!)×(6!)) and  6C2…

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Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z subject to a? + y…

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Q: Example 10.20. Using Milne's method find y(4.4) given 5xy' + y2- 2 = 0 given y(4) = 1, y(4.1)% 3…

A: Given that 5xy'+y2-2=0 and xi 4 4.1 4.2 4.3 yi 1 1.0049 1.0097 1.0143 Find y4.4 using…

Q: 17. Cowboy Clint wants to build a dirt road from his ranch to the highway so that he can drive to…

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