(1) Rxy(t) = Ryx(-t) is a symmetry property.
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- By expanding (xh)2+(yk)2=r2, we obtain x22hx+h22ky+k2r2=0. When we compare this result to the form x2+y2+Dx+Ey+F=0, we see that D=2h,E=2k, and F=h2+k2r2. Therefore, the center and the length of a radius of a circle can be found by using h=D2,k=E2 and r=h2+k2F. Use these relationship to find the center and the length of the radius of each of the following circles. x2+y2+4x14y+49=03. (c) I not only want the diagram but also the procedure to make a bifurcation diagramDraw the family of these one parameter DE's of bifurcation. Explain to me how solve thesea
- Find the Jacobian of the transformation. x = 5e−4r sin(2?), y = e4r cos(2?)Find the moving trihedral of C for all t ∈ (0, π). [ THIS IS NOT A GRADED QUESTION ]2.3 Evaluate the integral ∫c [ 7/(z - 2i)4 - 3i/(z -2i) + sinh2 z/(z+ 4)]dz, where C is the circle |z - 2i| = 4 traversed once anticlockwise. State clearly which results you used to arrive at your final answer.
- CAN SOMEONE PLEASE HELP ME BREAKDOWN THIS PROBLEM? AND FOR (B) WOULD THAT BE ( Z,t,F,Chi-square)?4. Find the exact length of the polar curve r = e2θ, 0 ≤ θ ≤ 2π.If P1 and P2 are two points on the conic whose angles θ1 and θ2 differ by 180° , show that the harmonic mean of their respectivve values of r is a constant ( you will need to look up what harmonic mean is).
