Determine the tens digit of 3^3^100 . (Hint: Use Euler's generalization of Fermat's little theorem)
Determine the tens digit of 3^3^100 . (Hint: Use Euler's generalization of Fermat's little theorem)
Homework Answers
Add Answer to:
Determine the tens digit of 3^3^100 . (Hint: Use Euler's generalization of Fermat's little theorem)
(III) State Fermat's Little Theorem and use it to deduce that dp-1.
(III) State Fermat's Little Theorem and use it to deduce that dp-1.
Discrete structures please help!! Use Fermat's little theorem to find the remainder when 91000 is divided...
Discrete structures please help!! Use Fermat's little theorem to find the remainder when 91000 is divided by 13. To get credit, use Fermat's little theorem and show how each step is done without using a calculator.
7. Use Fermat's Little Theorem to find the remainders of each of the division problems a....
7. Use Fermat's Little Theorem to find the remainders of each of the division problems a. 6150 -19 b. 937531.
r proof of Fermat's little theo- 2. Use Corollary 3.6 to give anothe Proposition 3.3 of Chapter 1. (Hint: In our mo...
r proof of Fermat's little theo- 2. Use Corollary 3.6 to give anothe Proposition 3.3 of Chapter 1. (Hint: In our more up-to-date language, the theorem should be restated as follows: given any prime number p, a. a for all a E Zp.) rem, Corollary 3.6. If IGI n, and a E G is arbitrary, then ane. Proof. Let the order of the element a be k. By Corollary 3.4, k n, so there is an integer e with n...
3. Euler's Method (a) Use Euler's Method with step size At = 1 to approximate values...
3. Euler's Method (a) Use Euler's Method with step size At = 1 to approximate values of y(2),3(3), 3(1) for the function y(t) that is a solution to the initial value problem y = 12 - y(1) = 3 (b) Use Euler's Method with step size At = 1/2 to approximate y(6) for the function y(t) that is a solution to the initial value problem y = 4y (3) (c) Use Euler's Method with step size At = 1 to...
(complete the proof. Hint: Use the Squeeze Theorem to show that lima = L.) 3- For...
(complete the proof. Hint: Use the Squeeze Theorem to show that lima = L.) 3- For all ne N, let an = Let S = {a, neN). 3-1) Use the fact that lim 0 and the result of Exercise 1 to show that OES'. 3-2) Use the result of Exercise 2 to show that S - {0}. 4- Prove that
9. Use the construction in the proof of the Chinese remainder theorem to find a solution to the system of congruences X 1 mod 2 x 2 mod 3 x 3 mod 5 x 4 mod 11 10. Use Fermats little theorem to fin...
9. Use the construction in the proof of the Chinese remainder theorem to find a solution to the system of congruences X 1 mod 2 x 2 mod 3 x 3 mod 5 x 4 mod 11 10. Use Fermats little theorem to find 712 mod 13 11. What sequence of pseudorandom numbers is generated using the linear congruential generator Xn+1 (4xn + 1) mod 7 with seed xo 3?
9. Use the construction in the proof of the Chinese...
will is playing a math game. He needs help to use the following clues to write a 5 digit number: 1.The number consists of 3 different digits 2.All digits are even numbers greater than zero 3.the value...
will is playing a math game. He needs help to use the following clues to write a 5 digit number: 1.The number consists of 3 different digits 2.All digits are even numbers greater than zero 3.the value of the ones digit is one tenth of the value in the tens digit 4.The value of the tenths digit is 10 times as much as the value of the hundreds digit 5.The sum of the tenths and hundredths digits is equal to...
) Use the theorem on triangular matrices, to determine the deter minant of the matrix (it...
) Use the theorem on triangular matrices, to determine the deter minant of the matrix (it is a one liner): (e) Use the theorem on triangular matrices, to determine the deter- minant of the matrix (it is a one liner) 2 3 4 A=1031 0 0 1 (f) Use the theorem on triangular matrices, to determine the deter- minant of the matrix (it is a one liner) 3 4
Question 3 (4 points) In a population μΥ-100 and 43. Use the central limit theorem to...
Question 3 (4 points) In a population μΥ-100 and 43. Use the central limit theorem to answer the following questions (a) In a random sample of size n-100, find PY 101] (b) In 64, find P[101 Y < 103 a random Sample of size n
(III) State Fermat's Little Theorem and use it to deduce that dp-1.
7. Use Fermat's Little Theorem to find the remainders of each of the division problems a. 6150 -19 b. 937531.
r proof of Fermat's little theo- 2. Use Corollary 3.6 to give anothe Proposition 3.3 of Chapter 1. (Hint: In our more up-to-date language, the theorem should be restated as follows: given any prime number p, a. a for all a E Zp.) rem, Corollary 3.6. If IGI n, and a E G is arbitrary, then ane. Proof. Let the order of the element a be k. By Corollary 3.4, k n, so there is an integer e with n...
3. Euler's Method (a) Use Euler's Method with step size At = 1 to approximate values of y(2),3(3), 3(1) for the function y(t) that is a solution to the initial value problem y = 12 - y(1) = 3 (b) Use Euler's Method with step size At = 1/2 to approximate y(6) for the function y(t) that is a solution to the initial value problem y = 4y (3) (c) Use Euler's Method with step size At = 1 to...
(complete the proof. Hint: Use the Squeeze Theorem to show that lima = L.) 3- For all ne N, let an = Let S = {a, neN). 3-1) Use the fact that lim 0 and the result of Exercise 1 to show that OES'. 3-2) Use the result of Exercise 2 to show that S - {0}. 4- Prove that
9. Use the construction in the proof of the Chinese remainder theorem to find a solution to the system of congruences X 1 mod 2 x 2 mod 3 x 3 mod 5 x 4 mod 11 10. Use Fermats little theorem to find 712 mod 13 11. What sequence of pseudorandom numbers is generated using the linear congruential generator Xn+1 (4xn + 1) mod 7 with seed xo 3?
9. Use the construction in the proof of the Chinese...
) Use the theorem on triangular matrices, to determine the deter minant of the matrix (it is a one liner): (e) Use the theorem on triangular matrices, to determine the deter- minant of the matrix (it is a one liner) 2 3 4 A=1031 0 0 1 (f) Use the theorem on triangular matrices, to determine the deter- minant of the matrix (it is a one liner) 3 4
Question 3 (4 points) In a population μΥ-100 and 43. Use the central limit theorem to answer the following questions (a) In a random sample of size n-100, find PY 101] (b) In 64, find P[101 Y < 103 a random Sample of size n
Most questions answered within 3 hours.
-
Which of the following best describes tidal volume? options:
1.The amount of oxygen in the air...
asked 1 minute ago -
1. Smaller cost distortions occur when the traditional systems'
single indirect-cost rate and the activity-cost-driver rates:...
asked 9 minutes ago -
Using either a FMECA approach or some other appropriate RCA
tool, identify five risk treatment actions...
asked 9 minutes ago -
If for a test the P-value is between 0.0025 and 0.005, what
conclusion can you draw?...
asked 21 minutes ago -
Using Python. Write a function clean2(aList) that takes a list
of integers aList as argument, and...
asked 27 minutes ago -
Intrapreneurship is defined as the
development of an enterprise culture with an existing (Nandan,
2009). An...
asked 41 minutes ago -
QUESTION 1 Tamiflu is a drug used to treat influenza. A study
found that Tamiflu reduced...
asked 45 minutes ago -
Which of the following would be less likely to be used to
allocate factory overhead when...
asked 51 minutes ago -
Transverse pulses travel with a speed of 195 m/s along a taut
copper wire whose diameter...
asked 49 minutes ago -
Sampling for Engineers Homework question 11.51
Suppose that Y1;Y2;Y3;Y4 denote a random sample from a
Poisson(θ)...
asked 53 minutes ago -
Which of the following is cleaved by regulated intramembrane
proteolysis (RIP)? Select any/all answers that apply....
asked 52 minutes ago -
Random characters You decide to create a program characters.py
that fills a two-dimensional list with random...
asked 1 hour ago