Concept explainers
The encrypted version of message is LJMKG MG-MXF QEXMW. IF IT WAS ENCRYPTED
USING THE AFFINE CHIPHER
Autokey ciphers are ciphers where the nth letter of the plaintext is shifted by the numerical equivalent of the nth letter of a keystream. The keystream begins with a seed letter; its subsequent letters are constructed using either the plaintext or the ciphertext. When the plaintext is used, each character of the keystream, after the first, is the pervious letter of the plaintext. When the ciphertext is used, each subsequent character of the keystream, after first, is the pervious letter of the ciphertext computed so far. In both case, plaintext letters are encrypted by shifting each character by the numerical equivalent of the corresponding keystream letter.
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- Calculus Problem: Please help . thank you. Find f'(x)arrow_forward4-2. 1 A calculator with a random number generator produces the following sequence of random numbers: 0.276, 0.123, 0.072, 0.324, 0.815, 0.312, 0.432, 0.283, 0.717. a) Find the sample mean. b) If the calculator produces three-digit random numbers that are uniformly distributed between 0.000 and 0.999, find the variance of the sample mean. c) How large should the sample size be in order to obtain a sample mean whose standard deviation is no greater than 0.0 1?arrow_forwardNo Chatgpt please Give detailed solutionarrow_forward
- Consider the initial value problem mx" + cx' + kx = F(t), x(0) = 0, x'(0) = 0 modeling the motion of a damped mass-spring system initially at rest and subjected to an applied force F(t), where the unit of force is the Newton (N). Assume that m = = 2 kilograms, c = 8 kilograms per second, k 80 Newtons per meter, and F(t) = 20e¯* = Newtons. Solve the initial value problem. x(t) = = help (formulas) Determine the long-term behavior of the system (steady periodic solution). Is lim x(t) = 0 t→∞ ? If it is, enter zero. If not, enter a function that approximates x(t) for very large positive values of t. For very large positive values of t, x(t) ≈ x sp(t) = help (formulas) Book: Section 2.6 of Notes on Diffy Qsarrow_forwardConsider the initial value problem mx" + cx' + kx = F(t), x(0) = 0, x'(0) = 0 modeling the motion of a damped mass-spring system initially at rest and subjected to an applied force F(t), where the unit of force is the Newton (N). Assume that m = 2 kilograms, c = 8 kilograms per second, k = 80 Newtons per meter, and F(t) = 100 cos(8t) Newtons. Solve the initial value problem. x(t) = help (formulas) Determine the long-term behavior of the system (steady periodic solution). Is lim x(t) = 0 t→∞ ? If it is, enter zero. If not, enter a function that approximates x(t) for very large positive values of t. For very large positive values of t, x(t)≈ x sp(t) = help (formulas) Book: Section 2.6 of Notes on Diffy Qsarrow_forwardConsider the initial value problem mx" cx' + kx F(t), x(0) = 0, x'(0) = 0 modeling the motion of a damped mass-spring system initially at rest and subjected to an applied force F(t), where the unit of force is the Newton (N). Assume that m = 2 80 Newtons per meter, and F(t) = 20 sin(6t) kilograms, c = 8 kilograms per second, k = Newtons. Solve the initial value problem. x(t) = help (formulas) Determine the long-term behavior of the system (steady periodic solution). Is lim x(t) = 0 0047 ? If it is, enter zero. If not, enter a function that approximates x(t) for very large positive values of t. For very large positive values of t, x(t) ≈ x sp(t) = ☐ help (formulas) Book: Section 2.6 of Notes on Diffy Qsarrow_forward
- Consider the differential equation y' = - 4xy with initial condition y(0) = 1.9. Recall that Runge-Kutta method has the following formula for computing the next step, where h is the step size: f(xi, Yi) = fx i + (++) k1 = h k2 2 ¯‚ Yi + k₁ h h k3 = fxi 2 `, Yi + k₂· 2 k4 = f(xi+h, yikзh) i+1=i+h k12k22k3 + k4 Yi+1 Yi + h 6 Using Runge-Kutta step size h = 0.4: Estimate y(0.4) ≈ help (numbers) Estimate y(0.8) ≈ help (numbers) Book: Section 1.7 of Notes on Diffy Qsarrow_forwardDetermine which differential equation corresponds to each phase diagram. You should be able to state briefly how you know your choices are correct. х x 4 4 4 4 3 3 3 3 2 2 2 2 dx ? ✰ dt = 1. = x² - 3x 1 1 1 1 ? ◇ 2. dx dt = x(x − 2) - 0 0 0 0 ? ◇ 3. dx dt = x(2 − x)² -1 -1 -1 -1 Q -2 -2 -2 dx ? ◇ 4. ༤་ dt = = 3x - x² -3 -3 -3 -3 x³- 4x = x²|x − 2| ? ◇ 5. ம் dx dt བི་ dx ? ◇ 6. dt ཝེ་ dx ? 7. dt ཝེ་ dx ? ◇ 8. ཝེ་ dt -4 -4 -4 -4 A B 0 D = = 2x = x² * x * * x * K 4 4 4 4 = 4x - x³ 3 3 3 • 3 Book: Section 1.6 of Notes on Diffy Qs dit for this problem 2 2 2 2 1 1 1 1 0 0 0 8 -1 -1 -1 -1 N 心 -2 -2 -3 -3 -3 -4 -4 -4 -4 E FL G Harrow_forwardDear expert Chatgpt gives wrong answer Plz don't use chat gptarrow_forward
- Elements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,