Mathematics Homework Solutions

Find angle (x)

Compute x in the following diagram where o is the center of the circle and

Proofs

1- prove that an intrnal bisectore of an angle of a tiangle divides the opposite sides (internally) into two segments propotional to the adjacent sides of the triangle i.e prove DB/DC = AB/AC. 2- given triangle ABC with incenter I, prove that (shown in document) 3- x = ? , y = ? as shown in figure(document)

Car Problem

The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per second, how far will the car travel in one minute?

Tangent

You are interviewing for a position with an association representing the tire industry. The federal government mandates safety testing of all tires manufactured in the United States. Recently there has been concern that the rubber used in the tires could deteriorate while in store inventories. In September 2003, a safety group a ...continues

Proofs

1- Given triangle as shown (infigure 241W) with AF = 1/4 AB, AE = 1/3 and BE Intersect CF = O (BE has ray bar on top and CF has distance bar on top) prove that AO hits BC At its midpoint. 2-use Ceva's theorem to prove that the internal bisctores of the angles of a triangle are concurrent (cevas theorem: given triangle ABC ...continues

Differential geometry/chain rule

(See attached file for full problem description) Please notice that this is a Differential Geometry class. It is different than simple things in baby rudin's book.

Differential Geometry/Inverse Function Theorem

(See attached file for full problem description) Please justify all your steps and claims. And notice that this is differential geometry class, graduate level.

Geometry

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More Geometry

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