Ship X left the harbor at a speed of 25 n.m/hr Northeast while Ship Y is already in the ocean at coordinates 25 n.m East, 20 n.m South of the harbor, traveling at a speed of 10 n.m/hr towards the harbor. Give the polar coordinates of the two ships 1 hour after ship X left the harbor, and find the displacement between the two ships at that time. Please show the complete solution and write clearly. Thank you.

Q: Use Euler's method with step length h = 0.5 and determine an approximate value for y(3) for the…

A:

Q: Can someone show me how to make the truth table? Can someone show me. Example : All poets are…

A: Introduction: A truth table demonstrates how the truth or falsity of a compound statement is…

Q: 1. Solve the equations below using Doolittle's Decomposition method 4 -2 -3 X1 1.1 12 4 -10 X2 0 -…

A: The given problem is to find the solution for the given system of linear equations in matrix form…

Q: Tet X and Y be infinite sets prove that XUY is infinite

A:

Q: approximate value for y(3) for the following I.V.P. 2x + 1 y' = = y (1) = 0 5y4 + 1'

A: find value of y(3) using euler method

Q: 4. Solve the system of equations below both GRAPHICALLY and ANALYT- ICALLY. If the system has no…

A: To find- Solve the system of equations below both GRAPHICALLY and ANALYTICALLY. If the system has no…

Q: Suppose we represent a=2,b=4,c=6,...,z=52. Suppose further we use the equation y=x2+4 to encrypt a…

A:

Q: Given the vector function (1) = (e+²³, 2√²³ +1, 4arctan(1 − 1)) 1)), find the speed and the equation…

A:

Q: 37. tanh z

A: Since  tanh z=sinh zcosh z then the largest circle within which tanh z is analytic is one whose…

Q: Functions of A Complex Variable

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Stokes' Theorem states that the work (or circulation) done by a vector field F(x, y, z) along a…

A: The general form of a vector-valued function in three dimensions is given by F→x,y,z=F1i^+F2j^+F3k^,…

Q: PART#C Use the divergence theorem to calculate the flux of the vector field F(x, y, a) + (2y-3x³y)]…

A:

Q: Let B (x, y, z) = (xz, yz, 3x² - z²). 1. The task is to identify the work done by B on a particle…

A:

Q: Find the general and Singular Solution of the following differential equation ·P² 21 (41

A:

Q: into a convert the Following differential equation Perfect equation and then Find its general…

A: Let us find the general solution of the given differential equation in the next steps.

Q: II. Find the inverse of each matrix. -9 6 2.

A: The given matrix is -964-8 find the determinant of the matrix  -964-8=72-24=48 the determinant of…

Q: Determine the absolute error and relative error when approximating the derivative of f(x) = -x² + 5x…

A:

Q: 19. Which of the following pairs of integers is NOT congruent to modulo 9? 1 and 10 4 and -32 -2 and…

A: .

Q: which sketch is a cross-section in the x-direction (L to the y-axis)? Why?

A: Sketch -1

Q: x - y + z = 8 = = 9 2x+3y-z 3x - - 9z 2y - 9z -2

A: We have to solve the system of equations in excel . After solve in excel i will share screen shot.

Q: If a relationship has a strong, negative, linear correlation, the correlation coefficient that would…

A: A negative correlation indicates two variables that tend to move in opposite directions. A…

Q: Determine the general solution of the given system.

A:

Q: Find the general solution of this ODE: d²y dy +2- +y=12e-t dt² dt The solution will be of the form:…

A:

Q: Find the inverse of this matrix

A:

Q: VI. Consider the conservative vector field 1. 2. I F(x, y, z) = (z cos(rz) -y sin(ry), 2y cos(ry) -…

A:

Q: Let A be a 2 x 2 diagonalizable matrix. 3et+ ecit If is the solution to the system ở' (t) = Ax(t),…

A:

Q: Determine (without solving the problem) an interval in which the solution of the given initial value…

A:

Q: Develop Laplace transform of the piecewise continuous function t, 0 ≤ t < 1 f(t): 2-t, 1st < 2 t≥2…

A: The solution is given as

Q: (a) Suppose M is a set and d, d' are two different metrics on M. Prove that d and d' generate the…

A: Please find answer below:

Q: Find the coefficients of a* in (6 – ½a)6 and kª in (3k – 21)¹2

A: We have to find the coefficients of a4 in 6 - 12a6 and k4 in 3k - 2l12 . Note that,       a - bn…

Q: 4. For the given matrix -2 1 3 1 3 -1 3 1 2 a) Use the direct method to find all the eigenvalues and…

A:

Q: Let r(t)=r(t)=e¹i+e=¹j+tk. (a) Find the unit tangent, normal and binormal vectors T(t), N(t) and…

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

Q: Sample Problem 2: Determine the absolute error and relative error when approximating the derivative…

A: Solution

Q: The mean of four numbers is 71.5. If three of the numbers are 58, 76, and 88, what is the value of…

A: Here given that the mean of four numbers=71.5 the three numbers are=58,76 and 88 let the unknown…

Q: 13. Evaluate [-72, 48] 24 O-24 - 144 144 14. If a = 5 and b = 7, what are the possible values of m…

A:

Q: Use power series to evaluate the limit. lim as x goes to 0, (e^x-(1+x))/x^2

A:

Q: 25. The value of x in (7x is congruent to 12 mod 17) is O 16 15 9 13 (mod 17)

A:

Q: II. Solve the non-linear equation: 1.) x2 - xy + 2y2 = 16 x - y = 2

A:

Q: For integers m, n, p, q E Z, n, q0, use this and the field axioms mq+ng and (a) Prove + 2 mp = n 11…

A:

Q: Consider the sequence -11, -6, -1, 4, ..., 5n — 1. a. How many terms are there in the sequence? b.…

A:

Q: Find the volume of the solid that is bounded by the cylinder z = 4x², on the sides by the cylinder…

A: The given problem is to find the volume of solid bounded by given cylinders and planes. Given solid…

Q: 3. Consider the iterated integral TT 2√5 √20-r² I = 3r dz dr de 0 Denote by G the solid of…

A:

Q: . Suppose that an air-filled cone-shaped balloon has a leak causing air to escape at a rate of 24…

A:

Q: Solve y'' − 4y' + 20y = 0, y(0) = 3, y’(0) = − 6 - y(t) = The behavior of the solutions are: O…

A: Given differential equation used to 2nd order linear homogeneous differential equation with constant…

Q: Prove that sinh ≤h for all h E R.

A:

Q: Solve the approximate root of f(x) = x^5 - 3 using Newton's Method with initial value of x=10.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Use the divergence theorem to calculate the flux of the vector field F(x, y, z)=-3ry-ly:j-Szak…

A: To find- Use the divergence theorem to calculate the flux of the vector field F→x, y, z = -3xyi^ -…

Q: Use the power method to estimate the dominant eigenvalue and its corresponding eigenvector for the…

A: problem is solved using concept of power method.

Q: 2. Evaluate da da dx a. "LIVE" /1+√ √ √² = √² Sa b. ST. c. -

A:

Q: yz)i + (beby +d=

A: The path integral ∫OAF·dr involves the integration over a specific path, where F is a vector-valued…