Differential Geometry/Orientable Manifolds.

This problem is number 3 page 33 of handout chapter 0. I attached the handout for the chapter ( from Do Carmo's Book) and I hope you can solve it using the theorems and the same way Do Carmo does it, which shouldn't be very hard to follow. ( I believe the main idea is just to use the def of the orientable manifolds and show ...continues

Proper affine function

I attached the problem and chapters 2 and 3 ( chapter 3 is about affine connections). Please solve it using the way that the book does it. ( Handouts are from Do Carmo's book).

Vector Fields

(See attached files for full problem description) For this one you need chapter 2 I think, it is problem number 4 page 57.

Word problem

(See attached file for full problem description) The area A of an equilateral triangle varies directly as the square of the length of a side. If the area of the equilateral triangle whose sides are of length 2 cm is (√3) cm2 , find the length s of an equilateral triangle whose area A is (√3)/4 cm2.

Angles in Polygons

a- find the measure of one angle in the polygon. round to nearest tenth if needed. 1- regular 30- gon 2- regular 35- gon b- sum of angle and number of sides to polygon sum of angles number of sides to polygon 5040 1800 2160 4140 c- tell whether the stateme ...continues

Finding Unknown Angles in Polygons

Please see the attached file for the fully formatted problems. keywords: triangles, squares, quadrilaterals, parallelograms, rhombus, trapezoids, hexagons

Geometry: Finding the angles of Polygons

Find the value of x and any unknown angles. Find the measure of one angle in the polygon. Round to nearest tenth if needed. 4. Regular 30-gon 5. Regular 35-gon For #6-8, find the value of x and any unknown angles For #1-4, use the diagram on the right. 1. Which two numbered angles form a right angle? 2. Which numbe ...continues

Finding Unknown Sides and Angles in Polygons

Please see the attached file for the fully formatted problems. keywords: triangles, squares, quadrilaterals, parallelograms, rhombus, trapezoids

What is the length of the hypotenuse...

What is the length of the hypotenuse of the right triangle ABC in examination figure,if AC=6 and AD=5 note : draw a triangle A B C and the height from point C to D,the point D is in between A and B,the distance between A and D is 5 and the distance between A and C is 6

Given an equilateral triangle, pick any point on the interior and draw lines that are perpendicular out to each side, and show that the sum of these perpendicular lines equal the height of the triangl

Given an equilateral triangle, pick any point on the interior and draw lines that are perpendicular out to each side, and show that the sum of these perpendicular lines equal the height of the triangle.