Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries. (2.) Refer to this sketch to evaluate Q using cylindrical or spherical coordinates. 8-x²-y² = [² [² y dz dx dy Q /x² + y²

Q: H.W p.564/ use Trapezoidal method and Simpsons' rule to evaluate. dx 1) So √1+x² n = 4 se as Ars

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A: The shaded region is our required area

Q: numbers, then show that Q(√2, √3)= Q(√2+√3)

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Q: Example 12.5. Find the maximum value of Z= 2x + 3y subject to the constraints: x + y ≤ 30, y ≥3,0 ≤…

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Q: 2°) Write the volume integral of the solid bounded by 2 = √√√x² + y²² and == √√2-x²-y²², in a)…

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Q: - - * x - م - و : (of : (x) } cu

A: This is a question from the series and sequence.

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Q: Q1/ If you have the following data: Sin 45° = 0.7071, Sin 50° = 0.7660, Sin 55° = 0.8192, Sin 60° =…

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Q: Example 10.26. Using Picard's method, find approximate values of y and z corre- sponding to x = 0.1,…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Consider the piecewise function 2+x² x<0 x=0 g(x) = 1, 2-³, 0<x< 1 2-x x 21 (a) For each of the…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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Q: Example 10.14. Apply Runge's method to find an approximate value of y when x= 0.2, given that dy/dx…

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Q: = Given the first-difference equation Ayt = 2 and assuming yo method: e, then using the iterative

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Q: 7 8

A: Solution

Q: Example 10.37. The deflection of a beam is governed by the equation day +81y = o(x), where (x) is…

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

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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: A. Find a Riemann-Stieltjes integral for the function f(x) = x, x(x) = x² on [0, 2]

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Q: Solut Now, Given height (h) = (h) = 7cm radius (r) = dh 1 = dr Formula: volume of cylinder volume…

A: Given that Height h=7 cm Radius r=10 cm And dhdr=1. Now, formula of cylinder Volume V=πr2h......1…

Q: 1. Evaluate the iterated integrals a) Ans: p²sing dpdedo 97 √√3 2 2 b) ² sing dpdøde Ans: 14/3 T

A: The solution is given as

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

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Q: 2. Determine the general solution of the following equation X₁ 3 -1X1 e 1-(³ + X₂ 1

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Q: Example 10.15. Apply Runge-Kutta fourth order method to find an approximate value of y when x = 0.2…

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Q: 2) f(x)dx= 0.5 by using Simpson's rule with h = 0.5 then b= A 15 B2 CI D 2.5

A: Option c is correct

Q: C: 3:Use Gamma & Beta properties to evaluate : 2x¹e¹-x dx

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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) = 1.0049,…

A: Solution : Given, 5xy'+y2-2=0 ⇒y'=2-y25x Table of x and y x 4 4.1 4.2 4.3 y 1 1.0049 1.0097…

Q: 2°) Write the volume integral of the solid bounded by 2 = √√√ x² + y²² and Z=√√2-x²-y²², in a)…

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Q: t if the complex number z is a root of the polynomial f(

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Q: x-1) 1/6(x+2) 16/3- (x+1) 1/2 x-1) 1/6(x+2) 16/3 (x+1) 1/2 x-1) 1/6(x+2) 16/3 + +

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Q: find The linear transformation T: C² C²³² 1+i which matrix i -i M₁ = -2 1 −1+2i with regard to The…

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Q: U = {1, 2, 3, 4, 5, 6, 7, 8, 9} A= {2, 3, 5, 8} B = {1, 3, 5, 7, 9} C = {3, 5} D is a set containing…

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Q: B: 2: Find the first 4 terms of the Taylor series for : f(x)=sin лx near a=0.5

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Q: Diketahui polinominal f(x) = 2x²-5x²+2x+1 dan g(x) = x²+ax-2 jika f(x) dan g(x) bernilai sama, untuk…

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