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- France uses the conical orthomorphic projection of Lambert with multiple zones, using the ellipsoid of Clarke1880 in order to reduce the deformations of the projection. The given data is: λo = 2.59 gr, φo = 49 gr, a = 6 378 249.2 m, and e2 = 0.006 803 487. Find the Cartesian coordinates x and y of point M having λ = 3.49 gr and φ = 49.7 gr.Parametrize the directed line segment which joins the point −2 + 3i to the point 5 − 7i, that is, find a function t → z(t), a ≤ t ≤ b such that the range of the function is the set of all points of the said line segmentUse Green's Theorem to evaluate∮tan^-1(y)dx-(xy^)/(1+y^2) dy where C is the square with vertices (0, 0), (1, 0), (1, 1) and (0, 1) and oriented counterclockwise. A. -1 B. 2 C. 1 D. -2
- Calculate mH(∠ATC) in the Poincare plane when T = AB ∩ CD, andA = (0,5), B = (3,4), C = (−1,1) and D = (−1,2).Find a function r(t) that describes the line through P(3,4,5) that is orthogonal to the plane 2x-z=4A) compute x the component of x that is parallel to L and x the component of x that is orthogonal to L B) compute the reflection of x across the line L; refL(x)
- Use Green’s theorem to evaluate ∮C(ye2xy−5y)dx+ (xe2xy−2x)dy, where Cis the counterclockwise oriented boundary curve of the square with vertices at(0,0), (0,1), (1,0), and (1.1).22-Sick leave of employees in a factory before and after Covid-19 was investigated in a year. Which of the following is the table value in the hypothesis of whether there is a difference between the sick leaves of the employees? (The data do not satisfy the parametric assumption). a) 4 B) 3 NS) 6 D) 7 TO) 5Let P and Q be points in R2. Show that a linear map G(u, v) = (Au+ Cv, Bu+ Dv) maps the segment joining P and Q to the segment joining G(P) to G(Q) . Hint: The segment joining P and Q has parametrization ---+ ~ (1 - t) 0 P + t O Q for 0 < t < 1
- C is the hexagon in the xy-plane with vertices (5, −5), (5, 5), (0, 10), (−5, 5), (−5, −5), and (0, −10), directed counter-clockwise. Evaluate integralC (3y/(x^2+y^2) dx − 3x/(x^ 2 + y^2) dy)1. Chapter 15 Review 13: Sketch the domain D (in the xy-plane) and calculate sDf(x,y)dA.D = {0 ≤y ≤1, 0.5y2 ≤x ≤y2}, f(x,y) = ye1+xIf M is a centroid of triangle WOR and WM = 16, what is WX? Show your work. (It would help if you TYPED the solution out. But whatever you pefer is fine, thank you)