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1- For n belongs to N (set of natural numbers) let B(n) denote the number of digits used in the binary representation of n. For exampleB(1) = 1;B(2) = 2;B(3) = 2;B(4) = 3:
Find a closed formula for B(n) for an arbitrary n belongs to N.
2: Prove that if gcd(a, b) = d then a/d and b/d are relatively prime.
3- Find the smallest prime factor of (p1)(p2)...(pk) +1, where p1, p2, ... pk are the kth smallest primes for all positive integers k not exceeding 50.
Select five values for x to plug into the linear function, P(x)=10x-7 and prepare a table of values
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Define variables and profit function
Assume you have a lemonade stand, & when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 cups. Make an equation for the number of cups you sell as a function of the price you charge. Denote "C"..
For each of the relationships given below, describe whether you think it is best explained by a linear function or a non-linear function.
Which of the following are functions? The two problems, i.e., 1 & 3, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reason for 1, 2, & 3.
Using venn diagram for solving word problems.
The joint probability density function.
Applications of combination
Solving problems using venn diagram.
Solving problems into equation.
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