Evaluate 1 dv √x² + G where G is a solid that lies inside the cylinder x² + (y − 2)² = 4, above the xy-plane and below the paraboloid z = 8 - x² = (y - 2)².

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Q: Find the orthogonal complement S¹, and find the direct sum S + S¹. 6 -08 S = span 1 1 (a) Find the…

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Q: In a right spherical triangle ABC, B=90°. Using Napier’s first rule, what is the simplified form of…

A: There are two Napier's rules that are used to solve the right spherical triangles.

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Q: 69=y"+y = f(t) where: (0)=0, y₁ (0) = 1 0₁ 0≤+ 2π ។ 1 f(t) ] 1 0,

A: We use definition of Heaviside function then solve by Laplace transform.

Q: Find the sloution of the given DE dy y-x dx y + x = Yexact y (0) = 1, h = 0.1 at x = 0.5 2 ? (find…

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Q: Q1: A. Determine is the following series converged or not and find sum of it 3 3 3+-+: + 4 16

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Q: Prove that An nxn matrix A is non singular if and only if it can be written as a product of…

A: We prove that an nxn matrix A is non singular if and only if it can be written as a product of…

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Q: Using each time the appropriate definition of limit, determine the following limits. (Observe that…

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Q: Apply gauss jordon method to solve the system of equation 3x + 8y +29z = 71 83x + 11y - 4z = 95,…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: Let (an)neN be the sequence with a₁ = = 2 and an+1 = √16an 15 for all n = 1, 2, 3, . . .. (a) Show…

A: The given sequence is an+1=16an-15, a1=2. (a) To Show: (an)n∈ℕ is bounded above. (b) To Show:…

Q: Question 2. Let E be the solid region inside the surface x² + y² + z²: = 25 and above the surface z…

A: Let E be the solid region inside the surface x2+y2+z2=25 and above the surface z=3x2+3y2. (a) To…

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Q: ative of In(x)? B. 1/x

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Q: Q2: The line width of for semiconductor manufacturing is assumed to be normally distributed with a…

A: Please see the attachment

Q: Solve 4 sin ¹ (7x) X || 2 for the four smallest positive solutions

A: To solve the given equation we shall use the formula                                     sin θ=sin…

Q: Question 1 2) Let f(x) = {i: Find the Fourier series of f(x) . -#≤x<0 0≤x<m

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Q: A MacLaurin series solution to this ODE: (x-3)y'' + 5xy' - y = 0 has the form: y(x) = Σ anak k=0 The…

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Q: to give high rating thank you 1. What size is the difference of a 3x2 matrix to a 2x3 matrix? 2.…

A: since both matrices of order 3x2 and order 2x3 have 6 number of elements. It means both matrices are…

Q: ii) a₁ = In n i) a =n-√n².

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Q: GRAPHS, FUNCTIONS, AND SYSTEMS = Writing an equation of a line given its slope and y-intercept Write…

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Q: Find a vector of magnitude 9 in the direction of v = . O <-3√13, 2√13) O-27, 18) 9 <-3,2) 13 1 V…

A: To find a vector of magnitude 9 in the direction of v=&lt;-3,2&gt; .

Q: B. Use Green's theorem to evaluate f (x²y)dx + y²dy Where C is close path formed y = x and y = x³…

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Q: Q3: find the derivative of the following: 1. y = Inx + √√1-x² sech-1x

A: I have given the answer in the next step. Hope you understand that

Q: The area of the region inside the cirde Y = 6 cose and outside the Cardiaid V= 2(1+ Cose) ayo is + 4…

A: Let us consider the curve r=f(θ) The area under the curve is obtained by bounded region is…

Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

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Q: the root for the following equation ex -3x, [1.5, 1.6] then f(c4) = 1.50625. O True O False

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: ans. It has 5 acres of pecan Ere each year. The family use

A: The decision variables can be taken for pecan pies (both unshelled and shelled) and cookies.

Q: -2 -3 2 3 0 0 5 6 1 00 = find all the unknowns using Cramer's rule. Let A = ܐܝܘܘ --0-0 If A X3

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Q: Solve using Euler’s Method. Approximate up to 5 decimal places.

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Q: Suppose Jane borrows $2000 at an interest rate of 16% compounded each year. Assume that no payments…

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Q: solve using laplace transform 69- y"+y = f(t) where: 1 y (0)=0, y₁ (0) = 1 0, 0≤ t 2π

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Q: A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will…

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Q: Solve for the right spherical triangle whose parts are a = 73°, b = 62°, and C = 90°.

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Q: Given the equation x-n-sin () = 0, the equation has a uniqe root in [0, 2π]. True False

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Q: Using 2014 as the base period, compute a simple price index for each of the following commodities.…

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Q: QUESTION 1 A doctor prescribed his patient pills that must be taken twice a day. The pills consist…

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Q: Let n E 2, n > Let greatest common divisor of f([aln) = f(bln) whenever la

A: Given: n∈Z&gt;0,n&gt;1 function f: Zn→Z define as fan=a,n. We have to prove that f is well-defined.…

Q: If f(x) = xe* — 1 and the interval [0, 1] by using newton's method then x₂: =****** a) 0.571020 b)…

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Q: B. find polar form of the complex number z = (2√3-41)+(-√3+ 5i).

A: The complex number z=x+iy in the form of polar co-ordinate z=rcost+i rsint Where r=x2+y2

Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

A: We have to  (a) To find the charge q(t)on the capacitor if i(0) = 0.2 (b) To determine the charge at…

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A: Given surface: z=e-x2-y2-e-9 and XY plane To find: Using polar coordinates, find the volume of the…

Q: f(x)= x³ + 4X² - 10 .Xo = 1, Accuracy=0.001

A: follow the python code for the fixed-point iteration method.

Q: Given f(x) = x3 + 5x2 + 2x - 8 a) Solve for f(x) > 0 and f(x) 0 and < 0

A: Let us consider a polynomial p(x)  The factor of the polynomial is obtained by using the hit and…

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Q: Q2: Find the double integration ff (4x + 2)dydx D = { (x,y):0<x<2,x<y<2x}

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Q: 1. Let matrices be 6 -2 -2 [3 1 19 4 -4 0 A 10 -3 1 1 C=0-2 -10 5 1 -4 0 11 L4 0 a = 1 b=[308]…

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…