y = - 1.5 cos (3x -90) +0.5   what is the    a) period  b) amplitude  c) the phase shift

Q: Consider the boundary value problem d²y dy +y=x² dx² dx with boundary conditions y(0) = 2 and y'(3)…

A:

Q: 3 4 3 0.2 0.5 Given the transition matrix P 4 0.8 0.5 has a 70% chance of initially having 3…

A: The transition matrix The first game has a  chance of initially having  player.

Q: Q4: Find the solution of the initial value problem 2y" - 4y + 5y = 0, y(0) = 1, y'(0) = 2.

A:

Q: Problem 6. A Fourier series for f(x) = x, where 0<x< 2 is: 4 f(x) = Σ - cos nn · sin TEN ηπχ 2…

A: [Kindly NOTE: As per the company rules, we are supposed to solve one problem from a set of multiple…

Q: 2. Newton's Law of Cooling states that the rate of change of the temperature T of an is proportional…

A:

Q: Solve using the Laplace transform: ∙y₁ +6y=e, y (0) = 2.

A: Introduction: Laplace transform is named in honour of the great French mathematician, Pierre Simon…

Q: Q1: Check whether (K,*) forms a group, where "*" refers to the matrix multiplication and K = {h₁,…

A:

Q: Let S be the universal set, where: S = {1, 2, 3,..., 18, 19, 20) Let sets A and B be subsets of S,…

A:

Q: y = cos(x) + (x4)+3· Local Max and Local Min. Justify your answer with reference to the graph of…

A:

Q: Determine which of the following series converge: 8] nel 1 (3n − 2)(3n + 1) 8 ΙΣ 2cosm

A:

Q: 2. Given f(x)=√x+1, g(x) = 3−*,h(x) = cosx, m(x) = log[-(x − 4)] and p(x) = ¹3 The equation in fully…

A:

Q: 1. Derive a method for approximating f(x) whose error term is of order /² by expanding the function…

A: We have to derive a method for approximating f'''(x_ 0) whose error term is of order h² by expanding…

Q: 14 Two semi-circles touch each other within a quarter circle as shown. P, Q, and R are collinear.…

A:

Q: 1. Given fog(x) = √x³ + 3x² + 3x + 1, state two different possible sets of functions for f(x) and…

A:

Q: 14 After some ancient bones were excavated, carbon was taken from one of the bones to find that…

A: Given that there is 73% carbon is left in the bone. The decay constant is = 0.0001216We have to find…

Q: 30. Eulerize this graph in the most efficient way possible, considering the weights of the edges. 1…

A: Given:The graph is Aim:Eulerize this graph in the most efficient way possible, considering the…

Q: Suppose that a motorboat is moving at 42 ft/s when its motor suddenly quits, and that 11 s later the…

A: The initial speed of the boat = 42 ft/sAfter 11 s the speed of the boat  = 23 ft/sWhile coasting the…

Q: (1 Consider the interaction of two species of animals in a habitat. We are told that the change of…

A: The system of equation is as follows:To Find:The smallest and largest eigenvalue.

Q: A) Show that the function u(x; y) = 5x4y - 10 x²y³ + y5 is harmonic and determine the harmonic…

A: (A)

Q: In the following two cardioids are depicted. Set up an integral that calculates the area inside…

A: Given:Two polar curves were drawn.The aim is to set up an integral to find the area of the shaded…

Q: The following functions all have domain {1, 2, 3, 4} and codomain {1, 2, 3, 4, 5}. For each,…

A: The domain of the given functions and the codomain .(a) (b) (c) The aim is to determine whether the…

Q: Suppose that a set of portfolio managers has a chance p = 50% of beating the market by 10% in a…

A: To solve problems involving probabilities and expected values, we can use combinatorics and the…

Q: (d) Use the midpoint approximation method to find the area under the curve y = x² over the interval…

A:

Q: 3-26. (a) Find a 2 × 2 matrix A such that A x D-4 x (b) Find a 3 x 3 matrix B such that By Z X (c)…

A:

Q: Convert the following into an equivalent expression: (log -> exponential) a) p+2 = 4log₂ (2q³-1)+1…

A: The given expression,(a) (b) The aim is to find the equivalent expressions.Note: Since you have…

Q: Q3: Given the basis G = {(1,2), (3,4)}, the basis T = {(7,3), (4,2)} and the vector S = (1,0) in R²,…

A:

Q: y = cos(x) + (x4)+3· Local Max and Local Min. Justify your answer with reference to the graph of…

A: Given:The function is .To Find:The local maxima and local minima.

Q: əz If z = f (x, y), find and for the following equation z=-2xy

A:

Q: 4. Consider the sequence of functions {x(t)}% defined by xo(t) 2k+1(t) = 2 = ot So cos²(7)xk(t)dt, k…

A: Given:The sequence of the function  defined by Aim:(a) Prove that converges uniformly on the finite…

Q: 5. (a) (b) The current i in an electric circuit is given by i = 10e-t sin (2πt), where t is in…

A:

Q: Perform the following matrix row operation and write the new matrix. G 1-22 3 6 3 R₂+(-3)R₁ After…

A: We have to performing the row operation .

Q: (12) - Σ

A:

Q: Can you please do question c and d of the above thank you :)

A: (c) Calculate the mass of the paperweight using spherical coordinates, set up a triple integral…

Q: Let P be the set of positive real numbers. One can show that the set P³ = {(x, y, z)|x, y, z € P}…

A:

Q: 4. Let f: RS be a ring homomorphsim, I an ideal in R, and J an ideal in S. (i) Prove that f-¹(J) is…

A:

Q: (4) Suppose that a, b are positive integers such that 6² – 2a² = 1. Prove that there exist positive…

A: It is given that, a and b are positive integers such that:.It has to be proved that there exist…

Q: 2. Let A and B be rational matrices, let b and d be rational vectors, and let a be a rational…

A: Given:Let  and  be rational matrices, let  and  be rational vectors, and let be a rational number.…

Q: Question 4 Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar.…

A:

Q: Domain, Range and Asymptotes - Explain and Show work for everything please y = COS X 2 (x + 2x - 2)

A: Let the function be .To Find:a) Domainb) Rangec) Vertical Asymptoted) Horizontal Asymptote.

Q: (a) Estimate the values of f(-15, 30) and f(-15, 30). (Round your answers to two decimal place f-15,…

A:

Q: Consider the function ƒ: {1, 2, 3, 4} → {1, 2,3,4} given by f(n) = = a. Find f(1) = 1 b. Find an…

A:

Q: Solve the following Cauchy-Euler equation using Variation of parameters

A: (b).  Given that the differential equation is:                                           To find the…

Q: solve and draw a diagram of the problem Two large tanks, each holding 100L of liquid, are…

A: Let x(t) and y(t) be the amount of salt after t minutes of the process in the tank A and tank B…

Q: (1) Finc form (a) a belle (a)

A:

Q: (g) 12s - 24 (s² - 4s +85)² (h) 2 (s − 3)² – 9 - (i) s²4s +3 (s² - 4s + 5)²

A:

Q: 1. Solve the following constrained maximization and minimization problems, illustrating your answer…

A:

Q: Let m(x) = 2x² - ax - 2 and n(x) = bx² + 2x + 5. The functions are combined to form the new function…

A:

Q: dx Solve the equation f(x) = 0 to find the critical points of the given autonomous differential…

A: Let dxdt=f(x) be an autonomous differential equation,  then the critical points occur at f(x)=0 .

Q: The figure shows level curves of a function f in the square R= [0,8] × [0,8]. Use the Midpoint Rule…

A: Given:The figure shows level curves of a function f in the square .Use the Midpoint Rule with  to…

Q: Solve the linear system x+y+2z=1 2x+3y+7z=1*

A: The given equations,The aim is to solve the system of equations.