A boat leaves the entrance to a harbor and travels 55 miles on a bearing of S 47° E. How many how many miles east from the harbor has the boat traveled? Round to the nearest tenth of a mile. 40.2 miles 51.3 miles 37.5 miles L

Q: Find the general solution of the recurrence relation: a) an = 7an-1-12an -2 + 2n(5¹) b) Show that…

A: a) Arrange as The auxiliary equation is Multiplying by  gives , so (m-3)(m-4) = 0, so m=3 or m=4So…

Q: Exercise I.3. Show that the least time to go from xo to y with velocities taken from ToB isy-xo.…

A:

Q: Use the shell method to find the volume of the solid generated following lines. a. The line x=5 c.…

A: The region is bounded by  and the parabola Note: According to the guidelines we are allowed to solve…

Q: 1. Let f(x)= 4 (a) Find an equation of the line tangent to the given curve at x = 0. (b) Use a…

A:

Q: Give a scalar equation for a plane at distance 9 from the plane P with equation -2x+2y-z = 3. 0=0

A:

Q: (a) Prove that if n is an integer and 9n² + 17 is even, then n is odd, (i) proof by contradiction.…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: (c) Assume that the universe of discourse is the set of insects. Consider the followin statements,…

A:

Q: Evaluate the following limit using the Squeeze Theorem: 5x5 + 5y5 lim (z,y) (0,0) x2 + y²

A: We  have  to find  the limit using Squeeze theorem.Recall  the  fact  that    and…

Q: Let = 8 and y Answer: Use the Gram-Schmidt process to find an orthonormal basis for the subspace of…

A:

Q: Determine y = f(x) if * f(t)dt = x3 3 with x > 1

A:

Q: The equation of motion of a particle is s = 2t³ - 8t² + 3t+2, where s is in meters and t is in…

A: (a) To find the velocity and acceleration as functions of t, we need to differentiate the given…

Q: 3 Evaluate the integral f de using the two-point Gaussian quadrature rule. 1 1+z²

A: Two points Gaussian quadrature:

Q: 1) A All 2x2 matrices are diagonalizable A) True 1) False

A: Diagonalization of a matrix: If there is an invertible  matrix C and a diagonal matrix D such that ,…

Q: Solve the following PDE: a² y(x,t) 1 əy(x,t) əx² a² Ət : 0, 0 <a, With the boundary conditions y(−L,…

A: Solve by separation of variables:

Q: 3.7. Bob's RSA public key has modulus N = 12191 and exponent e = 37. Alice sends Bob the ciphertext…

A:

Q: Let A = {1, 2, 3, 4} and B = {a, b, c}. Give an example of a function f: A → B that is neither…

A: Given thatA = {1, 2, 3, 4} and B = {a, b, c}. We have to find an example of a function f: A → B that…

Q: (10,14) (10,14) Show that (68) fdx + gdy = f(68) – (35x¹y¹dx + 28y³x³dy) is independent of path: 11…

A:

Q: and Let A be a 2 x 2 matrix which satisfies Av₁ = 2v₁ and Av₂ = ₂ where ₁ [B] - [1] = [] compute 1th…

A:

Q: Calculate Riemann sum for f(x) = 1 - x with x belong to  [1,5] and partition P = {1,2,3,5}.

A:

Q: b D d 1. Explain briefly why H(ab, cd) and H(SQ, TD). = 2. Let U AT OPD. Prove that C, Q, U, are…

A: To explain why H(ab,cd) and H(SQ,TD), we need to understand the concepts of harmonic conjugates and…

Q: deal with the eigenvalue/eigenvector problem for n×n real skew-symmetric matrices. Q.Determine all…

A: To determine all eigenvalues and corresponding eigenvectors of the matrix.

Q: Suppose A = [1 0 H- 1 1 0 -1 L0 squares solution of the system AX = 1 0 1 1 A = 0-1 16 V 0 -1 -1 1…

A: Let us solve the given problem.

Q: Let D be the solid in the first octant bounded by the planes y=0, z = 0, and y=x, and the cylinder…

A: Since function  is not given we can not find the value of the integration.Here the question is for…

Q: MBC is an equilateral triangle with A(0, 0) and B(a, 0), (a>0). , M, and N are the foot of the…

A:

Q: Graph several level curves of the following function using the given window. 2=e-2x²-3y² Draw the…

A: The given function .We have to plot the level curves for  and .

Q: What is the coefficient of determination and how is it interpreted in correlation and regression…

A: The coefficient of determination, often denoted as R2, is a statistical measure used in correlation…

Q: 4. (1) A=(2 by using cofactor expansion 015 3-69 6 find det A

A: A matrix is .To Find:det(A)a) Using Cofactor Expansion.b) By using row reduction.

Q: The following graph corresponds to f"(x), the second derivative of f(x). If the graph does not…

A: at x=-5 , x=0 and x=7.To Find:Point of inflection

Q: What is the solution to Bessel's differential equation of order n when the independent variable is…

A: Bessel's differential equation of order n is a second-order linear ordinary differential equation…

Q: Use the Chain Rule to compute the partial derivative. In In (7u² + uv) = ди

A: We have to apply the partial derivatives with respect to u.

Q: Find all equilibrium solutions in the interval -4 <y<4; Determine whether each of the above…

A:

Q: 46. A square matrix A is said to be idempotent if A² = A. a. Show that if A is idempotent, then so…

A:

Q: ind the inverse oI [(e²+ e^x) (e-e) (e²e)] (e²+ e^³)

A:

Q: K Find the work required to move an object in the force field F= (x,3) along the straight line from…

A: Given force field isF = &lt; x , 3 &gt;We have to check whether the given force field F is…

Q: is a diagonal nxn matrix. an (1) Show that A is invertible <none of the ai's is zero. 5.15 A = al 0…

A:

Q: 40. a. If A is a matrix with three rows and five columns, then what is the maximum possible number…

A:

Q: An open-top rectangular box is being constructed to hold a volume of 200 in ³. The base of the box…

A:

Q: Compute gxxyz for g(x, y, z) = x7y6z6. (Use symbolic notation and fractions where needed.)

A: We have to find  using given data.Concept required:While finding partial derivative of  w.r.t. , we…

Q: In exercises 4-10, derive an equivalent Volterra integral equation to each of the following initial…

A: Consider the given initial value problem of second order.We have to derive Volterra integral…

Q: 3. [32] −1 4-3 4. 5. [. |_3 -4 2 1 2 -1 4,

A:

Q: 1 0 1 го о 1 0 00 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 1 10 0 0 1 0 0 0 1 0 1 1 0 0 1 1 1 1 0 0 1 0 0…

A: To determine the chromatic number of the graph represented by the given neighborhood matrix, we need…

Q: The accompanying table shows the time of useful consciousness at various altitudes in the situation…

A: The given equation is,.a) A jet flying at 32.000 ft (a=10) suddenly loses pressure when the seal on…

Q: Consider the following graph. a. Calculate the Laplacian of the graph. b. Calculate the eigenvalues…

A:

Q: Example 3. Convert the following initial value problem subject to the initial conditions y" - 3y"…

A: The given equation is                                        Integrating we get from 0 to x,we…

Q: In each part of Exercises 11-12, find matrices A, x, and b that express the given linear system as a…

A:

Q: Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check…

A:

Q: Let I be the linear operator on R³ defined by L a Find the matrix A representing L with respect to…

A: As linear transformation is hence with the cofficients we get the matrix,

Q: Suppose there is Avogadro's number of mini marshmallows and they are used to cover the province of…

A:

Q: of point A Up value=4600000 Right value=36610000 of point B Up value=4565000 Right…

A: 1)Convert the Right and Up values of points A and B to latitude and longitude coordinates on the…

Q: -1 2] =[1₂3] 4 5 17. (I + 2A)−¹ =

A: Matrix