km Two cars, one going due east at the rate of 90 and the other going due south at the rate km of60m, are travelling toward the intersection of two roads. At what rate are the cars approaching each other at the instant when the first car is 0.2 km and the second car is

Q: -. Determine all the values of 1^(sqrt of 2). a. sin (sqrt of 2 kpi) + i cos (sqrt of 2 kpi) b. cos…

A: Follow the steps.

Q: D¹(²)y(x) + Dª(²)y(x − 0.01) + y¨ (x) (39 − y(x) = g(x), x = [0,h], solv using the subjected…

A: In natural philosophy and arithmetic, Legendre polynomials (named after Adrien-Marie Legendre, who…

Q: g) Find the Fourier sine series of the function f(x)=-100¹0(-<x<n); f(x)= 100¹0 (0<x<n)

A: We have to find the Fourier sine series of the function  f(x)=-10010if -π&lt;x&lt;010010if…

Q: Question 1 by the vector equation Let C be a curve defined ·7· r(t)= <4t³ – 8t, 4t³ + 5t, e4t³-8t.…

A:

Q: Evaluate: S O (2-√2) O (2-√2)= O (√2-2)* O (√2-2)* 8 -y² sin √√z²+y² dzdy /z²+y²

A:

Q: Eigenvalues, Eigenvectors and Applications: Question # 2: Part: b:Diagonalize the following matrix…

A:

Q: Given the lines 1₁ and 12; ₁:x=1+3t, y = 26t, z = 7t-3, x-4 6-y -8 3 5-z 5 (a) Show that 1₁ and 1₂…

A:

Q: There are only two allocations and two people (X,Y) the allocations are thus: A: X has 10, Y has 8…

A: As given There are only two allocations and two people (X,Y) the allocations are thus: A: X has 10,…

Q: 10. Find the Laplace transform of t³ + 2t - 4. a. b. C. d. 3 ||0|0| + + + + ~~~~~~~~ - - - - 5…

A: Given function is f(t) = t3 + 2t - 4

Q: Q7 Define f(x)=³-3x+1, and o(a)=x²-2. The following information will be useful: f is irreducible…

A: According to the guidelines, we are required to solve the first two sub-questions. Kindly, re-post…

Q: Find the solution of the given initial value problem. y (4) 10y""+ 25y" = 0; y(1) = 10 + e³, y′(1) =…

A:

Q: Find the maximum value that f(x, y, z) = x² + 8y - z² can have on the line of intersection of the…

A: Given function is f(x,y,z)=x2+8y-z2 and the other constraints are g(x,y,z)=2x-yh(x,y,z)=y+3z We…

Q: n circle a measure of angle lam=42, measure of angle hag=30 and ange kah is a right angle. find the…

A: To evaluate measure of angle of an arc

Q: PROBLEM 1: Given the function f(x) = e²x + 1: (1) Determine the Taylor series expansion (5th…

A: Here we will use Taylor series of  a function f(x) about x=a f(x)=fa…

Q: Cho hàm số 12-2t+17 | t1i – ²_-2+¹3 + (t² +4)k, nếut‡1 t-1 ai + bj + ck, nếut=1 Tìm các giá trị của…

A:

Q: To get a B in math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests…

A: Given Alexandria Pappas score in first four test are 84, 76, 84 and 78.

Q: Which of the following is a valid triple integral? Of Sh(s) (5) f(x, y, z) dzdydx So Jg(z) Jg(y,z)…

A: The general form of triple integral is defined as follows, Let fx,y,z be a function of three…

Q: Apply the improved Euler method to approximate the solution on the interval [0, 0.5] with step size…

A: We need to use improved Euler's method to approximate the solution for the differential equation:…

Q: An automorphism of a group G is an isomorphism G→ G. (1) Prove that Aut(G), the set of all the…

A: As per the policy, we are solving 3 subparts of the given question. Please repost the question and…

Q: Evaluate A = F. dr where F(x, y) = (6x – 2y)i+x²j for each of the following curves. a) C is the line…

A:

Q: A region is bounded by the curve y = √2-x and the lines y = -x and the x-axis. The integral…

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

Q: 13. Evaluate 10 r(7) 3Г(4)

A: Given the term Γ(7)3Γ(4) We have to evaluate the value of this term.

Q: 26. One term of a Fourier series in series form is 10 cos40mt. Write it in exponential form. a.…

A:

Q: Three business partners share r150000 from investment profits as follows. Shelly Ann gets 57000 and…

A:

Q: 3. Solve the differential equation x² (²2 + 2xy-15y² = 0. dx dogonde pogadacg9P on oyigo aos pe o…

A:

Q: What is the angle of a corner in a right triangle when the opposite side measures 2.54 centimeters…

A:

Q: 8. Evaluate tan² (j0.78)

A:

Q: Solve the given initial value problem. 0-6 -6 x' (t) = -6 0 6 x(t), x(0) = -6 -6 0 x(t) = 8 2

A: *As this problem is related to vector differential equation, hope you know how to find inverse of a…

Q: Let X and Y be continuous random variables having a joint probability density function (pdf) given…

A:

Q: By using the substitution r = {² determine the convergence of dx [ (x+1)√x

A:

Q: fermat's theorm states, if p is prime & a is a positive integer not divisible by p then-------- and…

A: Fermat's states that if p is a prime and a is a positive integer not divisible by p, than ap-1≡1 mod…

Q: Find the Laplace transformation of the unit impulse function 8(t-22017) and The unit step function…

A:

Q: Give the equation of the horizontal and vertical lines passing through the point (− 11/3,8/5) The…

A: We have to find the equation of the horizontal and vertical lines passing through the point -113, 85

Q: Evaluate: Jo J O (2-√2) T 8 O (2-√2)= 4 O (√2-2)x 4 O (√2-2) T 8 5/1 -y² sin √²+y² dzdy /z²+y²

A: To Evaluate: ∫0π/4∫0π216-y2sinx2+y2x2+y2dxdy.

Q: Consider the following nonhomogeneous system. Find the eigenvalues of the coefficient matrix A(t).…

A:

Q: Given that 2r + 1 = sin 0. (a) Test the symmetries of the above equation. (b) Construct a table for…

A:

Q: Evaluate: ₁ da 2√x+3 ○1-3 ln (7/5) O2-3 In (7/5) 2 O2+3 ln7 03-In ()

A: Solution: To Find: ∫14dx2x+3

Q: Scott and Associates, Inc., is an accounting firm that has three new clients. Project leaders will…

A: (a) The network is shown below.

Q: Which of the following differential equations are separable? dy (1)(1+2y²) = y cos x (ii) (e² +…

A:

Q: Prove that if the polynomial f(x) = x²n + a₁x²n-² + ... + an-1x² + an is divisible by g1(x) = x - 1,…

A: To Prove- Prove that if the polynomial fx = x2n + a1x2n-2 + ⋯⋯ + an-1x2 + an is divisible by g1x = x…

Q: Find the y intercept of the line: X+2y-1=0

A: Given line is x + 2y - 1 = 0

Q: a. Show that the given differential equation has a regular singular point at x = 0. b. Determine the…

A:

Q: 5. (x (x-1)) dy + (2xy + y) dx = 0. y(2) = 5. Determine y(3). Answer shall be in fraction form.

A:

Q: Let ao 1 and an 2an-1 + 1 for every n ≥ 1. Let G(r) be the generating function of the sequence ao,…

A: Introduction: The generating function is a power series representation of a recurrence relation.…

Q: Michael is directing Donny and Leo on where they should add the finishing touches on their magnum…

A:

Q: GIVEN: (-1,0 ≤v <2 f(v) = 0,2 ≤<v < 4 (4v, 4 ≤v < 6 Calculate the FOURIER COSINE SERIES of the given…

A:

Q: Consider the following optimization problem: Maximize 2 In x₁ + 3 ln x2 + 3 ln x3 subject to:…

A: According to bartlby answering guidelines we can only answers 1st  question therefor I am writing…

Q: Provide solutions where applicable 1. What is the base year for this CPI data series? 2. How much…

A: Follow the steps.

Q: Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. A = 13 42 - 1 0…

A:

Q: . Solve by optimal control the problem: max 68. s.t. [ (ux − u² − x² )dt 1 x'=x+u, x(1)=2, x(5) =…

A: As per the question we are given a optimization problem where we have to find the optimal control…