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- n. g. = neutral geometry <ABC = angle ABC \leq = less or equal than sqrt{x} = square root of x cLr = the line in the Poincaré plane defined by the equation (x-c)^2+y^2=r^2 1. Find the bisector of the angle <ABC in the Poincaré plane, where A=(0,5), B=(0,3) and C=(2,\sqrt{21})arrow_forwardTask: 2 Multivariable Calculus: Divergence Theorem Refer to Question 42 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharingarrow_forward2. Let l=2L\sqrt{5} and P=(1,2) in the Poincaré plane. Find the uniqe line l' through P such that l' is orthogonal to l.arrow_forward
- 38 Topology: Brouwer Fixed-Point Theorem Task: Refer to Question 38 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharingarrow_forwardTask: o Functional Analysis: Spectral Theorem Refer to Question 40 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharingarrow_forwardTask: Linear Algebra: Jordan Canonical Form Refer to Question 31 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharingarrow_forward
- 35 Ordinary Differential Equations: Nonlinear Systems Task: Refer to Question 35 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharingarrow_forwardTask: 4 Abstract Algebra: Galois Theory Refer to Question 34 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharingarrow_forward33 Vector Calculus: Green's Theorem Task: Refer to Question 33 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharingarrow_forward
- 36 Probability: Central Limit Theorem Task: Refer to Question 36 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440 AZF/view?usp=sharingarrow_forwardLet ABCD be a Saccheri quadrilateral in a neutral geometry. Show that m(<ABC) \leq 90, and m(<ABC)=90 if and ony if the geometry is Euclediaarrow_forwardLet A, B and C be three points in neutral geometry, lying on a circle with center D. If D is in the interior of the triangle ABC, then show that m(<ABC) \leq 1/2m(<ADC).arrow_forward
- Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill