Mathematics, 05.05.2020 07:35 mya1318
Strong Induction (11 points) (1) (6 points) Let P(n) be the statement that a postage of n cents can be formed using just 3-cent stamps and 7-cent stamps. The Induction and Recursion parts of this exercise outline a strong induction proof that P(n) is true for n 18. (a) (1 points) Show that P(12), P(13), and P(14) are true, which com- pletes the base case. (b) (1 points) What is the inductive hypothesis? (c) (1 points) What do you need to prove in the inductive step? (d) (3 points) Complete the inductive step for k 14. (2) (5 points) Use strong induction to show that every positive integer can be written as a sum of distinct powers of two (i. e., 20 = 1; 21 = 2; 22 = 4; 23 = 8; 24 = 16; : : :). For example: 19 = 16 + 2 + 1 = 24 + 21 + 20 Hint: For the inductive step, separately consider the case where k +1 is even and where it is odd. When it is even, note that (k + 1)=2 is an integer.
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Mathematics, 21.06.2019 15:00
Need ! give step by step solutions on how to solve number one \frac{9-2\sqrt{3} }{12+\sqrt{3} } number two x+4=\sqrt{13x-20} number three (domain and range) f(x)=2\sqrt[3]{x} +1
Answers: 2
Mathematics, 21.06.2019 16:00
Apatient is to take 60 mg of an antibiotic on day 1, take 45mg on days 2 and 3, take 30mg on days 4 and 5 and take 15 mg on days 6 and 7. how many total mg will the patient take?
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Mathematics, 21.06.2019 19:00
If f(x)= sqrt4x+9+2, which inequality can be used to find the domain of f(x)?
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Mathematics, 21.06.2019 19:00
Write a fraction less than 1, which has a denominator of 6 and is greater than 3/4 plz answer !
Answers: 1
Strong Induction (11 points) (1) (6 points) Let P(n) be the statement that a postage of n cents can...
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