Encode the number using the given public key. Encode the number M = 49 using the public key n = 77 and e = 37. Assume you are encoding the number using the RSA cryptosystem. Note: You can use the Modular Exponentiation calculator to help with the calculation. O a 14 (mod 77), encoded number = 14 O b 15 (mod 77), encoded number = 15 C 16 (mod 77), encoded number = 16 Od 17 (mod 77), encoded number = 17 OOOO

Q: In the discrete topology on the set X, every set is open and it also follows that every set is…

A:

Q: Find the Laplace transform of the following: 1. 4t + 12

A:

Q: r 3

A:

Q: The logistic equation for the population p (in thousands) at time t of a certain species is given by…

A: Find equilibrium point and depending on sign of dpdt draw direction field for solution

Q: Discuss the difference between zero-stability and absolute stability as applied to initial value…

A: There are two essential conceptions of numerical stability. In addition to having a stable problem,…

Q: Show that if A is closed in Y and Y is closed in X, then A is closed in X.

A:

Q: Raffs Ltd, a clothing firm, determines that in order to sell x suits, the price per suit must be p=…

A: Note: Is the cost function c(x)=(0.1)x2+6x+30. Given the price per suit is p=90-0.2x and cost…

Q: 3 2t Find the laplace transform of ett²+ e²t (2cos 3t). 16

A:

Q: 1. Find the root of f(x)=x²+2x²-5x-6, using the initial guesses of x₁ = -4.5 x=-1.0 and a…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Decide whether the integral is improper. 1. "In(x³) dx O proper O improper Explain your reasoning.…

A: The given integral is ∫1∞lnx3 dx To find: the given integral is proper or improper.

Q: 2. The subset [a,b) of R is neither open nor closed. Prove it and construc an illustration.

A:

Q: Kim Jones, Jan Robinson and Pat Smith are the officers of the spaceship. They serve as the craft's…

A: Given: From the six statements provided, we may deduce the following: KJ, JR, and PS are the names…

Q: 3 Find the laplace transform ofe¹t²+ e²t (2cos 3t). 16

A:

Q: - R-{-}→R-{} defined by f(x) = Show that f: R 3x-5 2x+1 is bijective.

A: Given function is f: ℝ - -12 → ℝ--32 such that f(x) = 3x-52x+1

Q: 21 After elimination clears out column 1 below the first pivot, find the symmetric 2 by 2 matrix…

A: To find the 2 by 2 matrix after elimination .

Q: Let A E RDXE, XE REXF, B € RFXD. Computed where g(X) = tr(AXB).

A: Let A∈ℝD×E, X∈ℝE×F,   B∈ℝF×D To Compute ∂g∂X where g(X)=tr(AXB)

Q: f(t) = 1²e-³1 cos 4t F(s) = F (s) = O O F (S) = F (s) = F (s) = 2s³ + 16s² 46s - 234 (s² + 6s+25)³…

A:

Q: A firm faces the production function Q = 4K0.5L0.5 where K is capital and L is labor. a. Find the…

A: Note: As per our guidelines we are supposed to answer to only 3 sub-parts Q=4K0.5L0.5 where K is…

Q: 1. The graph of a function f(x) is given below. Note that the graph contains the points (0, 1), (4,…

A: Given: A function contains the points 0,1, 4,-5 and 8,1 and has the graph: (a.) To write: A…

Q: In spherical geometry, draw a triangle with three right angles. What fraction of the surface of the…

A: Given that, In spherical geometry, a triangle is drawn with three right angles. The fraction of the…

Q: A total of $20,000 is invested in two corporate bonds that pay 3.5% and 5% simple interest. The…

A: Given:   A total of $20,000 is invested in two corporate bonds that pay 3.5% and 5% simple interest.…

Q: Consider the polar curves C₁ : r = 2 - cas 0 and C₂: r = 2 + 2 cos 0, 0 € [0, 27). 1 (1.) Show that…

A:

Q: Given the discrete metric space for n E Na the discrete metric o defined by the distance function 0…

A:

Q: Who among the following SLU Mathematics faculty members has made a true statement about the day of…

A:

Q: Problem 2. If det a1 a2 b₁ b₂ C1 C2 a3 b3 C3) det = 1 4 a₁ b₁ c₁ calculate a2 b2 C2 4a32a2 4b3 - 2b2…

A:

Q: The two vectors u=(-2,3,1,4) and v= (1,2,0, -1) are orthogonal in the vector space R4 True False

A:

Q: Evaluate curl of A and divergence of curl of A, if A = x²yax + y²zay - 2xzaz

A:

Q: Which set of edges below is the minimum spanning tree of graph G? u 5 6. CO a Od 2 4 5 3 H S 7 E 2 6…

A: To find minimum spanning tree of given graph

Q: ) A complex number is purely ________ if the real component is equal to zero (b) A complex number is…

A: We have to fill in blank related to complex numbers.

Q: Find the inverse laplace of F (s) = (s²+ a² 1 (s²+²) (s²+b²) consider a²b², ab 0

A: Given Laplace function is F(s) = 1(s2+a2)(s2+b2)

Q: Use regression to find a quartic model for the given data set. Round the regression parameters to…

A:

Q: Find a finite difference approximation to f"(x) using the points x — x − 2h, x-h, x,x+h,x+2h and…

A:

Q: Evaluate the iterated integral. 4 (x² - y²) dy dx -4

A:

Q: a²z a²z Ər² მ02 ermine + if z = tan r + r r² +0²

A:

Q: The revenue of a company making the TV show "It's always sunny in Philadelphia" can be represented…

A: At break even total profit will be zero  To maximize total profit we can use calculus  For relative…

Q: Using the definition of Laplace transform, what is the equivalent integral if f (t) = 5t? Oe at

A:

Q: Let C₁ be the circle r = 3 cos 0 and C₂ the cardioid r = 1 + cos 0. O (a) Find all point(s) of…

A:

Q: Example 7.7. Find f (22) from the Gauss forward formula 20 25 30 35 40 45 f(x): 354 332 291 260 231…

A:

Q: 1. Consider the differential equation z³y(3)-3ry' +6y=0. (a) Find distinct values of r, say 71,…

A:

Q: Let B = {V1, V2, V3, V4} be a basis of R4 given by the following vectors: 1 -2 Use the Gram-Schmidt…

A:

Q: Find the values of w,x,y and z in fraction form using a)gauss elimination, b) gauss-jordan…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: The height of an arrow shot by an archer off a 50-foot cliff is given in the table below. Determine…

A: The model is given by y=bx+a. Mean is computed by adding all the observations and divide the sum by…

Q: Consider the so called Riccati ODE and let y₁ be a solution. y' = p(t)y² + q(t)y + g(t). Show that:…

A:

Q: Q2; find all spanning tree for the following graph

A: We know that , given a graph G = V , E , a subgraph of G that connects all vertices and it is a tree…

Q: Example 7.7. Find f (22) from the Gauss forward formula x: 20 25 30 35 40 45 f(x): 354 332 291 260…

A:

Q: Which of the following is the orthogonal trajectories of the family of ellipses 2x² + y² = a? xy = C…

A:

Q: Identify all nonempty set/s from the following A = {x|x € N, 2x + 7 = 3} B = {x|x € Z, 2x + 7 = 4} C…

A:

Q: Let A and B be two matrices innRREF , if they are row equivalent then A=B.

A:

Q: Given the family C[0, 1] of continuous functions ƒ : [0, 1] → R, and the norm ||f|| = sup f(x)]. x=…

A:

Q: Solve the following system using elementary row operations on the augmented matrix: x1 + x2 + 2x3 =…

A: