Problem 1 :
The sum of two numbers is 40. Let one of the numbers be x and let y be the product of the two numbers as a function of x. Determine the two numbers that create the maximum product and state the value of the largest product.
Solution :
Problem 2 :
How many four-digit numbers can be formed using the digits 0, 1, 3, 5 and 7? (No digit should be repeated in any number)
Solution :
Problem 3 :
Find the sum :
2log x + 2log x^{2} + 2log x^{3} + 2log x^{4} +............+ 2log x^{n}
Solution :
Problem 4 :
A company will provide a tour bus for a fare of $60 per person if 20 or fewer people take tour. For each passenger in excess of 20, the fare is reduced by $2 per person.Let x be the number of people above 20 who take tour.
a) Express the company’s revenue as a function of x.
b) What is the greatest revenue that the company can receive?
Solution :
Problem 5 :
If a set of 4 parallel lines intersect with another set of 5 parallel lines, how many parallellograms are formed?
Solution :
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