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Graph y = cos (x)
Solution: There actually isn't a whole lot to this one. Given the graph for -4 ? ≤ x ≤ 4 ? .
Note that we can put all values of x in cosine (that won't be the case for most of the trig functions) and hence the domain is all real numbers. Also note that -1 ≤ cos ( x ) ≤ 1
It is significant to notice that cosine will never be larger than 1 or smaller than -1. Generally we can say that -R ≤ R cos (? x ) ≤ R
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What is the smallest possible number in which can be created along with four decimal places using the numbers 3, 5, 6, and 8? Place the smallest number in the largest place val
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One-sided limits: We do this along with one-sided limits. As the name implies, with one-sided limits we will just looking at one side of the point in question. Following are the
Problem: A person has 3 units of money available for investment in a business opportunity that matures in 1 year. The opportunity is risky in that the return is either double o
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let R be a (noncommutative) ring. Given that a,b and a+b ? R are all units, prove that a^(-1)+b^(-1) is a unit
Brian's 100-yard dash time was 2.68 seconds more than one school record. Brian's time was 13.4 seconds. What is the school record? The school record is less than Brian's time.
In order to compute the inequalities of the form where n 1 , n 2 , ....... , n k , m 1 , m 2 , ....... , m p are natural and real numbers and a 1 , a 2 , ... , a k ,
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