Find the centroid of the region shown, not by integration, but by locating the centroids of the rectangles and triangles and using additivity of moments. y (x, y) = ([ T -3 -2 -1 1 2 3

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Q: Find the inverse Laplace transform L¯¹{F(s)} of the given function. F(s) = 12 = s² +9 Your answer…

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Q: evin deposits $1220.33 each quarter into an annuity account for his child's college fund in order to…

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Q: & (in/in) fps (ksi) 0.01 230 0.02 255 0.03 260 0.04 264 0.05 268 0.058 270

A: Given information:To find: when .Concept used:The concept of interpolation will be used to estimate…

Q: (2) Show that 2003 divides 4007"-1, for all integers n 20.

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Q: 4. The cylinder with equation x² + y² = 1 bounded r(u, v) = (cos u, sin u, v), Modify this…

A: The equation of the given cylinder is  bounded by  is parameterized by To modify the parametrization…

Q: Find the centroid of the region shown, not by integration, but by locating the centroids of the…

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Q: DISTANCE (inches) 10 9 8 2 1 456 DISTANCE (Inches) 7 P i The green (upper) triangle has an area of…

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Q: Solve the initial-value problem where f(t) = 2: -1; y' - y = f(t), y(0) = 1 0 ≤ t ≤1 t> 1 in the…

A: For given differential equation we have to find the solution using Laplace transformation.

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Q: 1. Consider the following function, sin 1(2) - (2²46² (²) ƒ(x): if x = 0 if x = 0 Prove that the…

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Q: A U.S. Treasury bill with 98 days to maturity is quoted at a discount yield of 2.50 percent. Assume…

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Q: dy y(cos 2t)ety — 2(sin2t)ety + 2t + (t(cos2t)ety – 3)- dt = = 0, y(0) = 0

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Q: Mark the statements below that must be true. A. Span(x, y)=Span(w) B. Span(x, y) = Span(x, w, z) |C.…

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Q: 1. Consider the matrices 0 4₁-(13), 1 3)₁ 4₂2 - ( -8 -2) ₁4₁ = (3-2). 0 1 3 -5 -4 A₁-(3) -4 0 and A4…

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Q: Find the approximations Tn. Mn, and S, for n = 6 and 12. Then compute the corresponding errors ET,…

A: Thus, the integral value is 36.Let us assume..

Q: Why isn't region B -4 instead of positive 4?

A: In the given question the area of region B is given 4. We are asked why it is 4 instead of -4

Q: Find the roots of the following equation in [-, π], by using the Newton's method with accuracy 10-5.…

A: As asked we shall use MATLAB to find the roots.MATLAB code is as follows.1f = @(x) 2*x^2 -…

Q: Find the Int = √ [√² tu dt] -dt dy about co t-1 series of the function F(x) = power = 1

A: I(y)=∫0yln⁡(t)t−1dtNow express the series g(t)=ln⁡(t) about t=1.g(t)=ln⁡(t) , g(1)=0g′(t)=1t ,…

Q: 2. The planner in charge of raw materials operations at a well known beer-producing company needs to…

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Q: Given the subspace H a- -4b-2c 2a + 5b-4c -a +2c -3a+7b+6c a) Find a matrix A such that H = Col A.…

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Q: Selling Price String beans Okra Meat Eggplant PINAKBET 135 Quantity Per Order 3 3 5 1 1 5 SINIGANG…

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Q: do you keep flipping inequalities to end up at =2/m? Also, if it Xn - Xm, wouldnt it be (1+1/n) -…

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Q: YouWhy is it 8×1/2 and not 8-1/2? Please explain. Thank you. Phi(8)=8(1-1/2).

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Q: 5. An integer N is chosen from 1 to 10 uniformly at random. Two random variables are defined: X is 1…

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Q: 2 lim₁ (√√n²+ n-n)

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Q: If V3(R) is a vector space and W₁ = {(a,0, c): a, c = R} and W₂ = {(0,b,c): b, c = R} are two…

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Q: -X Given u (x,y) se cosy, show that 4 (X,Y) is an harmonic funiction and find the function VCX,y)…

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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: let f(x). = ∞ { ntl (-1) (X-5)" и n5" n=1 Find the interval of convergence of a). f(x) b), f(x) c).…

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Q: For the signal below, sketch the following signals O (g) (4-t) (h) x(1/4) -t -2≤t≤0 0≤t≤4 otherwise…

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Q: A nobby store marks up remote controlled cars 20%. The oniginal pri was $35. What is the retail…

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Q: Consider the continued proportionality 90 Y q Р X X Y Identify two curves whose intersection…

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Q: (b) Let = {A; : i EN} be an indexed family of sets with the property that A₁ A₂ 22 A, 2..., that is,…

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Q: 3. If (s) is convergent then (| s₁ ) is convergent. n 4. If (s) and (t₁) are divergent sequences…

A: A real sequence (sn) is said to be convergent sequence if it has a limit l ∈ R . In this case the…

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Q: Find II IX, and y for the lamina bounded by the graphs of the equations. y = √√x, y=0, x=2, p = kxy…

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Q: Let K be a finite normal extension of a field F. If a, ß are any two elements of K c onjugate over…

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Q: 2. If D is the rectangular box defined by -1 < x < 2, -1 <y<0, 0<z <3, evaluate 2 2 !!! ( ₁ - Taly)…

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Q: Use traces to sketch the surface: x² = 36y² + z²

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Q: 1) Obtain the arc length of the following vector function. (t) = ½t²t+ sin(t)j — cos(t) k 0sts4

A: The given problem is to find the arc length for the given vector function.Given vector function,r(t)…