Evaluate the determinant using laplace expansion.

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Q: For the function shown f(x)=x/L, where L=1. f(x) 1 L/2 L If the function is expanded in terms of a…

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Q: By means of Lagrange's formula, prove that 1 Yo = - 1 - [2 (y₁+y_₁). (Y3 - y₁) 2 -Y₁) - 2 (Y-₁-y-3)…

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Q: Consider the following autonomous first-order differential equation. dy = y2(9 - y²) dx Find the…

A: For an autonomous system of the form: dydx=f(y), it can be written that: The region above or below…

Q: (a) (b) dx = (c) x-y X = * dx separable exact linear in x linear in y homogeneous Bernoulli in x…

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Q: Use your multiple strips to write 6 fractions equivalent to 1. 2. 3. 4. 5. 6. 25

A: Explanation of the answer is as follows

Q: Solve the following homogeneous system of linear equations: x1+x₂+x3-2x4 = 0 -3x1-3x2+2x3-9x4 = 0…

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Q: CES Ф=2 min w₁x₁ + W₂x₂ min *' + Жау лах, тих, *,+-3,-у

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Q: Find an explicit solution of the given initial-value problem. 2 y(6) = 6

A: Given : The initial value problem is ;  dydx = y2-1x2-1 ,   y(6) = 6. To find :  The explicit…

Q: the following DE are Bernouli type and solve: 1. y’ – x = y 2. y’ + 5y/x = x 7 y 4

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Q: 4. Solve the following Binomial problems: a) Find the expansion of (a + b)² b) What is the…

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Q: 3. 기<2 ga-호= f(x)는 기준을 ㅎ(ㅈ~ㅎ)

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Q: HASAREBBRADA sify each differential equation as separable, exact, linear, homogeneous, or Bernou dy…

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Q: John Mark is 38 years younger than Alondra. 9 years ago, Alondra's age was 3 times John Mark's age.…

A: Here we consider John Mark age as an unknown and then will make linear equation using given…

Q: Solve the following ODE proble using Laplace. [Ignoring units for simplicity] The average…

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Q: Find the general solution of the given differential equation. 3. + 15y = 5 dy dx y(x) = Give the…

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Q: Given the function z= f(x, y) = ln(x² + xy - y²), find the following: a) Find gradient at the point…

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Q: A tank contains 350 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…

A: It is given that a tank contains 350 liters of fluid which contains 20 grams of dissolved salt. Then…

Q: Consider the following autonomous first-order differential equation. dy/dx = y2(36 − y2)

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Q: From 2005 to 2013, the median usual weekly earnings of full-time wage and salary workers were…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: y = 1/(x2 + c) is a one-parameter family of solutions of the first-order DE y' + 2xy2 = 0. Find a…

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Q: determine how solutions behave as t → ∞.

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Q: A large tank is filled to capacity with 600 gallons of pure water. Brine containing 5 pounds of salt…

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Q: Using Euler's method, find the approximate values of the given initial value problem y = 5-2√y. y(0)…

A: We have to solve the given initial value problem by Euler method.

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: We have to solve the given differential equation. Also find the value of y as t tense to infinitive.

Q: Find the general solution of the given differential equation. 2 +10y = 5 dx y(x) = Give the largest…

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Q: Initially 100 milligrams of a radioactive substance was present. After 8 hours the mass had…

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Q: The population of a certain community follows the law of exponential change. If the present…

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Q: Calculate the average rate of change of the given function over the given interval. Where…

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Q: Q3) Find the root of the equation F(x)=x² - 3(sinx)² by using Newton Raphson method with initial…

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Q: In this problem, y = c₂e + c₂ex is a two-parameter family of solutions of the second-order DE y" - y…

A: The given problem is related with differential equation. Given that y = c1ex + c2e-x is a…

Q: Given the matrix 3 -3 -6 3 0 -2 2 5-4-2 Use elementary row operations to carry it to a matrix that…

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Q: Suppose A is a 3 by 3 matrix, that {A·A)}* {Q} the eigenvalue √2, and that How many of the following…

A: The given problem is related with linear algebra. Given that A is a 3 by 3 matrix, that 101 , -101…

Q: According to Excel's sensitivity report for the previous formulated model (Eagle Tavern), the…

A: Given: Betty stocks three brands of beer. The number of gallons of Yodel=x1 The number of gallons of…

Q: The population of a community is known to increase at a rate proportional to the number of people…

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Q: Using Euler's method, find the approximate values of the given initial value problem y = 5-2√y, y(0)…

A: NOTE: As per the guidelines we are supposed to answer only 3 subparts question. You can upload…

Q: Solve the given differential equation. dx 4y² + 6xy dy 3y² + 2x

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Q: B) Find the Eigen value and the Eigen vector of the matrix A where: -5 2 A= 2 2

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: olve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: Let A,B be sets. Prove that AAB = if and only if A= B

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Q: Find the solution in the form of Fourier integrals: U4-3uzz = 0, |u(x, t) bounded as x → ±0, sin r…

A: We are given the following second order partial differential equation : ut - 3uxx = 0  ;  -∞ &lt; x…

Q: Describe geometrically the effect of the transformation T Let A = -(1) Define a transformation T by…

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: Which one of the following equations describes the tangent plane to the curve, f(x, y) = x² + y² +…

A: Explanation of the answer is as follows

Q: * Given vec = 1:10, which statement below produces the same value of s as does the ?following script…

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Q: We consider a Black-Scholes model for the price (Xt)t20 of a risky asset, with continuous interest…

A: Given: Black-Scholes model To find: Solution