A. Calculate the centroid coordinates of quarter circle (x + y² a) in the first quadrant, use double integral technique in polar coordinates.

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Q: x = y + Z y² = 0.000396707 - 0.24576 x2 z* = 0.00029753 – 0.12288 x²

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Q: 3. An object exhibits simple harmonic motion with a time period of 0.94 s, a maximum acceleration of…

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Q: NEED ASAP!! round off to five (5) decimal places. Also use the exact values whenever possible. 1.…

A: Factoring the left hand side of equation.  Using Demoivre's theorem

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Q: Find the eigenvalues A1 < A2 and associated orthonormal eigenvectors of the symmetric matrix [3 0 1…

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Q: A. Problem Solving (Bracketing Method): Solve the following problem using Bisection Method and False…

A: We will use the basic knowledge of numerical analysis to answer these questions. This is a multipart…

Q: Solve. Show your solution 1. Mr. Santos wants to acquire a lot 300m meters wide and with length 300…

A: Given data plot length=300π wide =300 price =800 per m2

Q: QUESTION FOUR (a). A curve with equation y= f(z) passes through the point with coordinates (0, 1)…

A: We can solve this using A) substitution method b)separable method as well as c)exact equation

Q: Canter e dn= り。 f(x)= 5-3X

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Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below…

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Q: 14. Let (a, b) = 1 and x" = yb for some integers a and y. Then prove that there exists an integer n…

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Q: (b) Find the basis for the col(A) and null(A) 4 5 2 1 30 1 3 2 2 1 A ||

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Q: QUESTION FOUR (a). A curve with equation y= f{z) passes through the point with coordinates (0, 1)…

A: The given differential equation is y2dydx+y3=4ex.............(1) To find: the solution of the given…

Q: 3. The table below shows the highest daily temperatures (in degrees Fahrenheit) averaged over the…

A: We will use the basic knowledge of trigonometry and the system of linear equations to answer this…

Q: 25 s3(s? + 4s + 5)

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Q: Let A be a 3×3 symmetric matrix. Assume that A has two eigenvalues: A1 = 0, and X2 = 2. The vectors…

A: Let A be a 3×3 symmetric matrix. Assume that A has two eigenvalues: 0, and  2. The vectors V1 and V₂…

Q: 6- consider the following change of su=3xe" v = x'e variables (for e> Find fin teims of ¤ and u) the…

A: I have used the formula for jacobian.

Q: T/2 S [costi-sit cos ti – sin 2tj +sin? tk |dt.

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Q: Graph and determine the domain and range.show your solution .make a table of values from -5 to 5...…

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Q: Describe the graph of the equation. r = 10 sin 17t i+ 10 cos 17t j O It is a circle of radius 10 in…

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Q: Determine whether the matrix transformation TA : R → R° is an isomorphism. 1 -1 A = 3 -1 2 TA an…

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Q: R/2 sin 0 cos (cos a cosec 0) de TC (1-cos a).

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Q: Exercise 5 a) Given the differential equation y' + 3y = 0,9x. %3D Find A and B so that y = Ax+B is a…

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Q: Consider the contour represented in the following figure. The points marked on the figure are А(3,…

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Q: (b.) Consider the ordinary differential equation in (t > 0) ty" – (t+1)y' + y =0 Note that Y1(t) =…

A: The given ordinary differential equation is ty''-(t+1)y'+y=0...................(1) Write…

Q: Find the eigenvalues and bases for the eigenspaces of A³ for -2 -4 -4 A 2 4 2 -2 -2

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Q: Find all solutions between -2π and 2π of the equation:  Cos (θ) =  √3 / 2

A: We use the following: If Cos (θ)  = cos(α) [ 0 ≤ α ≤π ]      ...(i) then   θ = 2nπ ± α   ,where n is…

Q: d'r =-32k, fferential equation: dt2 dr = 8i +8 j, r(0)=100k. dt %3D tial conditions: It=0

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Q: Find a general solution to the differential equation using the method of variation of parameters -5t…

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Q: wiganvectors of the matrix A which corespond to the eigervalues, -1, A- 1, and dy - 2, respectively,…

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Q: 3. (x³-x²)7 dx x2

A: As per the question we are given a indefinite integral, which we have to find out. And to do that we…

Q: the e given by Sup1ゴ=2..る Shaw thet the Show norm can not be pioen by Q scalor prodlcCt. 2.

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Q: Determine the vector field of F. F(x, y) = yi – xj 1 1

A: We need to determine the vector field of Fx,y=y i^-xj^    x,y Fx,y=y i^-xj^ =y,-x 1,0 0,-1…

Q: 1. Trigonometric function frt)= -3 + 4 cos((t What is the amplitude of f(t)? 9) what is the period…

A: Consider the trigonometric function f(t) = −3 + 4 cos(π /3 (t − 3/2)). We have to find  (a)…

Q: Let p be a prime. Show that xpn −x+1 ∈ Fp[x] is irreducible iff either (1) p = 2 and n =1,2 or (2) p…

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Q: TOPOLOGY OT ComPUEx MumBERS 1 Sketch the curve z (1) =1? + 21 +i(1 +1) for (a) -1 1Lo

A: This is a problem of complex analysis.

Q: Convert using a shortcut: 11100011011two to base ten.

A: 11100011011two= (1×210+1×29+1×28+0×27+0×26+0×25+ 1×24+1×23+0×22+1×21+1×20)ten…

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A: Power series solution of the differential equation.

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Q: 22) Defermine oue tuer tue serieg ntl (-1) conditHonelly Σ conneryes n=1 or obsolutely. or alinery…

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Q: You want to purchase a house in 10 years. You estimate the cost will be $184,500.00. You want to…

A: Cost of house = $184,500.00 Down payment = 20% = 20% of 184500.00 = 20×(1/100)×184500.00 =…

Q: Find a minimum value for the radius of convergence of a power series solution about xp -7*12) y-3xy…

A: Given equation is (x2-7x+12)y''-3xy'-y=0 and x0=0   To Find the minimum value for the radius of…

Q: Express all answers in Rectangular Form. 1. (1 + j3)z² + (5 + j6)z + 7 – j6 = 0 2. 3z? – (5 – j4) z…

A: Since you post more than three subparts questions as per our guideline we can solve only first three…

Q: 4. Consider the function f (x) = 2x + 1. Find the equation of the tangent to dhe %3D graph of f(x)…

A: The given function is                                      f(x)=2x2+1

Q: See picture for f(x)  f(x) = 2L periodic extension to f for all other values of x show the…

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