1. Calculate exp(A) where A is the 2×2 matrix given by A 7 -2 -[33] = 5 5

Q: Find the area of the lune ABCD at right using Hippocrates' quadrature of the lune ideas. The…

A:

Q: Let [1 A = 3 1 2 0 1 2 2 Find all vectors in the null space of A. 1013

A:

Q: Question 4. Let for every n E N, An= {0, 1,2, ...,n}. Find n An and An. U nEN nEN

A: Ans:a).{0,1}b).{0,1,2,3,4,5,...}For details please see the explanation.If you have any problem then…

Q: 2. 2xydx+(4y+3x²)dy = 0; y(1)=1 {y²+x²y³ =2}

A:

Q: You have 20 years left for your retirement. You wish to accumulate a sum large enough by that time…

A: Here's how to calculate the monthly savings required to reach your retirement goal:Step 1: Calculate…

Q: Find the inverse Laplace transform of the following function. F(s) = = $2 - S 489

A: We have to find the inverse Laplace transform of given function.

Q: A commercial sewing machine costs $18 000 when new. Its value depreciates by $200 for every 1000…

A:

Q: Find the adjoint of the matrix. 03 -5 3

A:

Q: Enter below a 3x3 Markov matrix which has more than 1 steady state. You can not use the identity…

A: There are two steady states namely B and C.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Problem #7: A financier has made a loan of $15 million. The contract for the loan calls for payment…

A: Face value or Maturity value of the loan = $15 millionThe nominal rate of interest is 8.7% quarterly…

Q: 5. Let x, y be vectors in R4, and let L be the set L = {ax +By: a, ß ER, a + B = 1}. (a) Verify that…

A:

Q: Needs Complete typed solution with 100 % accuracy.

A: The objective of the question is to identify the real and imaginary parts of the given complex…

Q: Resale Value The estimated resale value R (in dollars) of a company car after t years is given by…

A: Given the resale value We have to find the depreciation rate after  year.

Q: 3. y'-2xy = x² + y² { y=tan(x+c)-x}

A: The given differential equation is

Q: 12. Determine whether each of these functions from Z to Z is one-to-one. a) f(n)=n-1 c) f(n) = n³ b)…

A: The function f(n) = n - 1 is one-to-one because it assigns a unique output to every unique input.The…

Q: Given the following graph of the function y = f(x) and n = 6, answer the following questions about…

A: Given the function y=f(x) and n=6.From the graph, we note the following:xnf(xn)0516283645.55567

Q: Consider the ODE y (1+x²)y" - (1 x)y' + = 0. x²-9 What is the minimum radius of convergence R for…

A:

Q: Plz correct solution.

A: The objective of the question is to determine the validity of the statement: If a function f is…

Q: Use Cauchy to integrate the following T ez - e-z 24 dz

A: The integral  is :The main to evaluate the integral using the Cauchy formula

Q: 6. Prove that if A is invertible and AB = 0, then B = 0.

A: Given that A is an invertible matrix (obviously A is a square matrix), i.e. A−1 exists.We now prove…

Q: Probability. Don't understand.

A: The objective of the question is to calculate the probabilities of certain events occurring when…

Q: 9 Find a Pythagorean triple in the manner of the Babylonians using v+u= +u= √√√, v−u = g⋅ 9

A: A Pythagorean triple means three positive integers a,b,c such that To make such a triple, pick three…

Q: (c) AB (d) |AB|

A: |A| = -15, |B| = 52, |AB| = -780Explanation:

Q: Problem 13  find the general solution of the given second-order differential equation.  3y''+2y'+y=0

A:

Q: Find the instantaneous rate of change in the amount in the account at the time the amount is equal…

A:

Q: 3 Find the half-range Fourier cosine series expansion for the function f(x) = x(Lx), for 0 < x < L.…

A:

Q: find y' a) xy + x + sinx = 3 b) y = 2x + cos¹x + sinh¹x + Inx c) if y = 2t+ sint and x = +

A: xy+x+sin⁡(x)=3Rewrite the equation to solve for y:xy+x+sin⁡(x)=3xy=3−x−sin⁡(x)y=3−x−sin⁡(x)xNow,…

Q: The motion of a mass-spring system with damping is governed by y''(t) + 8y'(t) + ky(t) = 0; y(0) =…

A:

Q: An investment of $10,000 earns interest at an annual rate of 6.7% compounded continuously. Find the…

A: Let's find the instantaneous rate of change in the amount in the account when it reaches We can use…

Q: Use Laplace transforms to solve the initial value problem y" + 4y cost, y(0) = 1, y'(0) = -1. You…

A: We have to solve the given problem by using Laplace transform.

Q: Sketch the level curve or surface passing through the indicated point. Sketch the gradient at the…

A: We have to find the level curve or surface passing through the indicated point (4,3,0) of the…

Q: uestion 2. Prove that P(ANB) = P(A) ^ P(B).

A: To prove P(A ∩ B) = P(A) ∩ P(B), we need to show that this equality holds for both independent and…

Q: A directed graph G has 5 vertices, numbered 1 through 5. The 5x5 matrix A is the adjacency matrix…

A: We have to determine which vertex can be reached by a walk of length 4 starting from vertex 1.The…

Q: Sketch a graph of y = 3 sin(2x-л) + 2. List below 5 points of 1 cycle.

A: We shall use MATLAB to plot the given function. With this, the plot will be precise helping for your…

Q: Find a general solution to the following in terms of J, and Y. Calculate a numerical answer to three…

A: The bessel differential equation of order ν isx2y″+xy′+(x2−ν2)y=0When ν is an integer, the solution…

Q: True or false: If f is analytic at each point of a closed contour I, then fr f(z) dz = 0. If true…

A: The objective of the question is to determine the validity of the statement: If a function f is…

Q: points are expressed in homogeneous coordinates). You want to uniformly scale point P2 by 1/2 and…

A: Given the points . These points are in homogeneous coordinates.(a)We want to perform the given…

Q: The total curvature of the portion of a smooth curve that runs from s=So to s₁ > So can be found by…

A: Given equation of helixr→(t)=(8cos⁡t)i→+(8sin⁡t)j→+tk→ Where…

Q: Needs Complete solution with 100 % accuracy.

A: The objective of the question is to identify the real and imaginary parts of the given complex…

Q: Use a symbolic argument in Problems 29, 30, 31, and 32 to determine if the argument is valid or…

A: Given the statement that all mathematics are eccentrics, all eccentrics are rich, therefore all…

Q: Manvir invested $1,600 at the beginning of every 6 months in an RRSP for 11 years. For the first 8…

A: Part a) =$31,229.59 Part b)= $48,332.54 Part c)= $13,132.54Explanation:Part a)Future value of…

Q: Problem #6: Consider the same system as given in the previous problem: S3xu² + 2y v4 = 5 4xy(u² -…

A: a) The system of the equation is :The aim is to find a) b)

Q: dy Find the general solution of the non-homogenous differential equation : | dx - || x + y +3 2x +…

A: The given differential equation is

Q: For each pair of integers a and b, use the Euclidean Algorithm to find the GCD(a, b). Then use…

A: Euclidean Division Algorithm:Let  be any positive integers such that , then we apply Euclid's…

Q: Below is an edge-weighted graph. a Start 12 10 8 с 12 11 3 9 11 10 Find a circuit that visits all of…

A:

Q: Seven office mates, three women (Fran, Gladys and Helen) and four men (John, Karl, Leonard and…

A: iv. KarlExplanation:From the given restrictions, let's find who will be absent: Fran will definitely…

Q: Succulent Citrus produces orange juice and orange concentrate. This year the company anticipates a…

A: The objective of this question is to determine the number of quarts of orange juice and orange…

Q: A computer production facility has a daily demand rate of 6 and a daily production rate of 20. Set…

A:

Q: Demand for whole turkey at County Market store during the Thanksgiving break can beapproximated by a…

A: To find the ideal stocking level for the turkey during Thanksgiving week and the normal benefit in…

Q: Consider the Reorder Point inventory control for the following setting: annual demand = 15,000;…

A: The annual demand is :The order cost is :The carrying cost is :The average lead time is :The stock…