What is the Smoluchowski equation for the harmonic: V(x) = (kx2)/2

Q: The solution to this problem must be approached using the matrix method exclusively. Please provide…

A: First we will write the augmented matrix for given system, then reduce it to reduced echelon form to…

Q: 2. Find the standard form of the equation of the ellipse satisfying the following conditions:…

A: The endpoints,  (−5,4) and ( 3,4), of the major axis (where the x coordinate changes) have a general…

Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

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Q: Find the radius of convergence, R, of the series. R = 1 n-1 x" 5n Find the interval, I, of…

A: We see that the radius of convergence is 1. So, the series converges if |x| < 1…

Q: Find sinvar\theta and cotvar\theta given cscvar\theta =(-5)/(4) and tanvar\theta >0

A: Given that  and that .So,  is in the 3rd quadrant since and that which is possible only in the…

Q: 12. -6 000 -4 7 h -3

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Q: Convert the Blasius equation into a set of coupled 1st Order Ordinary Differential Equations [ODES]…

A: Convert the Blasius equation into a set of coupled 1st Order Ordinary Differential Equations…

Q: In Problems 1-18, solve each differential equation by variation of parameters. 6. y" + y = sec²x

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Q: Let t = 1 U= 401 -H ssible, explicitly write the vector x = erwise, show that this is not possible.…

A: Introduction: To write the given vector into the linear combination of another…

Q: Find the simple interest balance function and the annual interest rate for the following partially…

A: The partially listed balance table : Years, t Balance, B(t) 9 $1146.32 15 $1317.20

Q: Consider relation K = (X, Y, Z, W, V, U) with set F of Functional Dependencies: F: {YZ → W, X → Y, Y…

A: K = (X, Y, Z, W, V, U) with set F of Functional Dependencies :F: {YZ → W, X → Y, Y → V, YZ → U, XZ →…

Q: X. Find the domaill 2. Find the range of the function g(x)=; 1 x+1 = 1/2(x-1).

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Q: Σ[1+(-1)] =

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Q: Consider the initial value problem y' = 6t² + e¯5ª + cos(7t), y(0) = 3 5t Determine the specific…

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Q: Find the tangent line to the polar curve r = 3e at the point specified by @=0. a) First, find the…

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Q: Estimate the sum or difference in each of the following by using (i) rounding and (ii) front-end…

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Q: Given the function: f(x) = 3x + 3. Sketch the graph of f(x) and ƒ¯¹(x). 10+ 9 8 7 6 -10 -9 -8 -7 -6…

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Q: Make a pattern for a cone such that the lateral portion of the cone (the part other than the base)…

A: To create a pattern for a cone with a lateral portion made from a portion of a circle of radius 4…

Q: An insurance covers losses up to a maximum of 1000. Losses in 2009 follow an exponential…

A: The expected payment per loss in 2009 is:E(X) = 1 - e^(-300/1000) = 0.6321The expected payment per…

Q: Ex. Show that [b, c) ~ [a, o), where a, b, c ER and b< c. [H7-9]

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Q: n=1 3. Find the Fourier transform of the following: f(t) = {et, -1 < t < 1 otherwise 0, Ans. Ans.…

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Q: A property worth $10480 is shared between a widow and her children in the ratio 1: 4 respectively.…

A: A property worth  is shared between a widow and her children in the ratio  respectively.We have to…

Q: 60) If a set of observations is normally distributed, The Percent of These differ from the mean by…

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Q: Order the following decimals from greatest to least. 5.373, 5.373, 5.37, 5.373, 5.373 Choose the…

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Q: Consider the following pair of statements in which p and q represent propositions. Make a truth…

A: The given statements and .We have to construct the truth table for the statements and check whether…

Q: cos ( sin 0 - sin Ꮎ :) Cos

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Q: 70 students completed a survey on what they like to have with their breakfast. There were three…

A: Let us consider the given data,70 students completed a survey on what they like to have with their…

Q: Solve the following constrained optimization problem using the method of Lagrange multipliers. +2²=5…

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Q: 152-69 0 0 1 7 4 0 0 0 00 0 0 0 0 0 0 0 0 8 1 0

A: We have to find the solution of Ax=0 in parametric form.

Q: Sketch a graph of the composite function y = k(f(x)), then state the domain of the composite…

A: Given:The functions are given by  and .To Find:We have to sketch the graph of the composite…

Q: Find the partial sum S7 for the geometric sequence with a = 2, r = 4. S7 =

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Q: Complete the table below giving the amount P that must be invested at interest rate 9.5 % compounded…

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Q: 5) Let 23 12 20 If possible, find an invertible matrix P such that P-¹AP is diagonal. 4 2 A

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Q: Use Laplace transform to solve the initial value problem of the ff DES. 1. y"+y = 1; y(0) = 6, y'(0)…

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

Q: 3. Marcus is training for a race. Each training session lasts 90 minutes and consists of both…

A: 3. Marcus is training for a race. Each training session lasts 90 minutes and consists of both…

Q: 5) lim X-2 Sin (3x-6) 2-x

A: We have to evaluate the limit of the following:

Q: Two investments are made at the same time. The first consists of investing 1430 dollars at an annual…

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Q: A marketing company asks 4,280 people about the soft drink flavors they like. Let the following…

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Q: Given the function P(x) = (x − 1)²(x − 6), find its y-intercept is its x-intercepts are x1 When →∞,…

A: We want to find y and x intercepts for given p(x).

Q: the second answer 4.429 is wrong please check

A: The probability value can not exceed 1 i.e. a maximum value that probability can have is 1.

Q: Convert each of the following to standard form. a. 3.4.107 b. 3.4.107 c. 4.1.101 d. 6.1.104

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Q: Consider the following system of equations −x + cy + 2z = 2 x − 2y + cz = 2 −2x + 4y + z = 1. For…

A: Introduction: In mathematics, the system of linear equations is the set of two or more linear…

Q: 1. The number N of bacteria in a refrigerated food is given by : N(T) = 20t² - 80 T +500, 2 ≤ T ≤…

A: Functions :

Q: utt - (rux + X(a,b) Utx)x - Byt = 0, x €]0, 1[, t > 0, Ytt - (Yx + X(a,b) Ytx)x+ But = 0, x €]0, 1[,…

A: As per the question, we consider a system governed by a set of partial differential equations with…

Q: A rectangular box without a lid is to made from 12 m² of card board. Find the maximum volume of such…

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Q: In each of Problems 1 through 3: (a) Draw a direction field for the given differential equation. (b)…

A: Since you have posted multiple questions with multiple subparts, so we will solve only the first…

Q: A differential equation, a point, and a slope field are given. =x√y cos x, (0, 4) (a) Sketch two…

A: dydx=xycos(x), (0,4)

Q: the circle that is of an arc in degrees is the measure of the corresponding central angle. 1. Use…

A: 1) To determine the arc which intercept a given angle on center or circumference in a circle , we…

Q: Calculate the Fourier series expansion of the periodic repetition of the function f(x) = x²; −1≤ x ≤…

A: f(x)=x2, -1&lt;x&lt;1.One needs to find a0,an and bn.

Q: is is a procedural exercise with a hypothetical situation. You will not find an actual solution cu…

A: x'+mtx=t3x6/5 Divide both sides by x6/5x'x6/5+mtxx6/5=t3x6/5⇒x-6/5dxdt+mtx-1/5=t3