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Summation and proof using mathematical Induction.
Suppose that {xn} is a sequence of positive real numbers for which the sum from i=1 to n of (xi)3 = (summation i=1 to n xi )2 for each n>=1. Prove that xn =n for all n>=1.Give a careful and complete proof by induction.
Problem on speed.
The law of cosines and Pythagoras theorem.
Evaluate the ratio of circumferences of inscribed and circumscribed circles in a regular hexagon
Find the general solution for given trigonometric equation on the given interval.
Trigonometric identities to find length of the guy wire.
The measure of the central angle of the sector
The number of intermediate fields which are normal extensions.
Graph of the function - sketch a graph of the function.
Find whether the given expression is a function or not - Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions.
Think of a mathematical function that represents something from your own life. For example, Assume the number of beers you drink depends on the number of football games you watch.
Explaining how to derive the formula for the distance between two points -Prepare an essay of 1,000 words explaining how to derive the formula for the distance between two points in analytic geometry 3-space.
The equation of tangent line.
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