Find the conic equation which satisfies the separable differential equation dydx=−18x/y dy/dx with the initial condition y(1)=5.

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Q: Consider the ODE dy dx Without solving the ODE, sketch the family of solutions of this OD = sin(y),…

A: This is a question of the autonomous differential equations.

Q: A 9.7 100.3 B 8.3 109.5 C X 93.5 D 11.7 125.7 E 8.0 117.5

A: The given points are A(9.7,100.3),B(8.3,109.5),D(11.7,125.7),E(8,117.5).   We have use Lagrange…

Q: Problem 5: a) Find fi(t) and f2(1) F₁(s) = F₂(S) = 60 (s+5) (s+1)²(s²+6s+25) 5s³+20s²-495-108…

A: The Inverse Laplace transforms of the functions are determined as shown in the next steps.

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A: We have to solve the diffusion problem with given boundary conditions .

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A: Given z varies jointly with x and y ∴z∝xy ∴z=kxy      where k is the constant of proportionality…

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A: Given that, A=-9-6-221224210 The Eigenvalues and Eigenvectors of the following matrix are determined…

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A: Given Matric are as follows : e) A=-2-143 f) A=2.0-0.53.0-0.5 To Find : Whther thelimm→∞Am exist for…

Q: ith positive orientation is of the form Dy SII D = {(x,y) | a ≤ y ≤ b, g₁(y) ≤ x ≤ 92(y)}; re g₁(y),…

A: Here, in the question, a domain D enclosed by the simple closed curve C with positive orientation is…

Q: 2x² - y² lim 2 (x,y) →(0,0) x² + 2y² y√x lim (x,y) →(0,0) 3x + y²

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Q: 3. The Toones Company has $30,000 for the purchase of materials to make three types of MP3 players.…

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Q: Find the fourth iteration value of an extremum (maximum/minimum value) of f(x) = acos (bx) +√√ cx+d…

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

Q: (a) Use the Factor Theorem to construct a single polynomial f(x) € Z5[r] such that every element of…

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Q: The solution to the problem is (x, y, z) = min f(x, y, z) => 00 z) = x² + y² +z_s.t. - 1 -0.5 0.5…

A: If g(x, y, z), h(x, y, z) are two constraints, then sing Lagrange's multiplier it can be written…

Q: 1) Write the conjugate of each complex number a. 7 (3+6i) b. (5-7i) (10+ 5i) c. (4.5+3i)/ (3-10i)

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Q: Consider the tetrahedron formed by the four points P(0, 0, 0), Q(8, 0, 0), R(0,6, 0), and S(0, 0,…

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Q: Propositional logic consists of: Quantifiers ☐ Propositions Connectives

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Q: Find the interval of convergence for S(1)** 2 k=1

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Q: 26. Use the figure given to answer the questions below. (a) Express a as a function of 0 only. (b)…

A: In a right angle triangle,  The trigonometric ratios are  sinθ=PHcosθ=BHtan=PB

Q: Que In this question, we consider the differential equation y" - 3y + ay = Fox) (@ Suppose that in…

A: Given differential equation y"-3y'+2y=f(x) ---------&gt;(*)  (1) Note alpha= Degree=1 and order =2…

Q: Which of the following is the first row of the inverse of the following matrix? [1 0 1 1 001 1

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Q: Find the value of x3 X1 - 3x2 - 4 x3 = 1 -X1 + X₂ - 3X3 = 14 X2 - 3x3 = 5 Select one: O a. -1.923 O…

A: Solve system of questions

Q: The function y=-2x²(x-1)(x - 2)² changes sign at a. x = 1 b. x = 0 c. x=-1 d. it doesn't change sign

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Q: b) x²= x=tx²³

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Q: A theater is presenting a program on drinking and driving for students and their parents or other…

A: A theater is presenting a program on drinking and driving for students and their parents or other…

Q: Explain the fact “Every permutation matrix is an orthogonal matrix”.

A: A square matrix A is orthogonal if AT=A-1. A permutation matrix is the result of repeatedly…

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Q: Consider the following. 4(0.8) - 1 n = 1 (a) Find the sum of the series. Sn = 20 (b) Use a graphing…

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Q: Graphical re

A: Any point on the Cartesian coordinate system can be represented as: x, y. The vector: x, y is…

Q: Consider the data in the following table: X 1 23 456 7 y 121.260 113.984 107.145 100.716 94.673…

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Q: A diagonalisation of a matrix A is given in the form P-1AP=D.List the eigenvalues of A and the bases…

A: A diagonalization of a matrix A is given in the form P-1AP=D. Here P-1=16161612-12-121313-23,…

Q: Recall the Fibonacci sequence from Week 7 in-class activities. (a) Prove that F > 0 for all natural…

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Q: 7. Suppose that S = {1,2,...n+1} where n ≥ 2. Let T = {(z. y, z) | r.y. z € S.r<z, and y < z}. Show…

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Q: b) Suppose that in Eq. (a), Frax) = 4°C. Use the method of unele termined coefficients to find a…

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Q: The characteristic equation for the matrix C = -13. + Number 1) ₁² 1² +20A + -1 -2-4 -2 -5 -1 -2 5 3…

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Q: 11. Find the period of the following: (a) f(x)=sin(x/2)| (b) g(x) =tan(x)|

A: period of sin(ax) is 2π|a|. Period of tan(ax) is π|a|.

Q: Question 4 Suppose that the differential equation dy dt = y(40-y) - 300 models a logistic equation…

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Q: 5. The amount of soft drink in a bottle is a normal random variable. Suppose than in 7% of the…

A: Given Data: Let the amount of  soft drink in a bottle is a normal random variable. Suppose than in…

Q: 33,3.333,..., where the nth number in the sequence is sequence is Σ (13)

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