1) If Var(X-Y) = 2, Var(X+ Y) = 4, E(X) = 3 and E(Y) E(XY)? = 1, than what is

Q: A 1125 ft3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built…

A: Given A 1125 ft3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be…

Q: . Consider the following problem max 10 (1-s)√kdt s.a. k= s√k k(0) 1, k(10) libre, s(t) = [0, 1], Vt…

A: As per the question we are given a constrained optimization (maximization) problem. And we have to…

Q: 6 The non lin ear SYStem 2 2 5 x, - X2 =0 » Xx-Q.25(Sin X, + cCos X2)=0 has solution near

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Q: 7 Find the most general antiderivative for the function – 5VP. 2 -

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Q: 1. Solve Cauchy-Euler equation. r²y" – ry' + y = 2x

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Q: If (2/3,1/6) is a critical point of f(x, y) = x² – In(x)+ xy-2y2then (2/3,1/6) is:

A: A critical point (a,b) can be classified as a point of local minimum, local maximum or saddle point…

Q: B. In each of Problems 4 and 5, eliminate the arbitrary constant using the method you're comfortable…

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Q: what value of n can be used to transform the Bernoulli equation y'+p(x)y=q(x)y^n into an equation of…

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Q: 2. Find the particular solution to y " = sin(x) given the general solution y = -sin(x) + Ax + B and…

A: The general solution to the differential equation y''=sinx is y=-sinx+Ax+B

Q: .1) The general solution of the equation y" + y =-5e- , is: - y(x) = Ce-* + ez(Acosx + Bsinx) -e-* O…

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Q: 7. what is the durivative oF q= arc cSc V1-3X %3D 3 Cz -Gx)I- 7 X 3. C2-6x)1-3x (-3x)-3x 3 C1- 3x)-3

A: First make it in simple trigonometric functions then diffrenciate it and just put all the given…

Q: Given the LP Model Minimize: z = x- y subject to: 4х — Зу s0 x + y < 10 х, у 2 0

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Q: Solve the S-L problem. y" + ay = 0 y(0) = y(1) & y' (0) = y'(1)

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Q: 'y-1 ++ Beson Muss 1- +

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Q: х4—х2+1 - [3] S [3] s e*ve*-1dx еx+3

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Q: 1. Find all critical points and investigate the type and stability of each. x' = xy - 2 y' = x - 2y

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Q: 2- Max z =30 x, + 30 x2 X +2 x2 2 80, 3x +2x2 2 120, Simppler s.t. X, X, 20

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Q: What is the solution to the initial – value problem : 4x²y" + 4xy' – y = 0 with y(4) = 2 and y'(4) =…

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Q: 1 So 2t en + e-2t ezt - e-at dt

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Q: A manufacturer incurs the following costs in producing x water ski vests in one day, for 0<x< 175:…

A: Given : The manufacturing cost of x vest in one day is given by  C (x) = 0.05 x2 + 25 x + 500 ,…

Q: 1. (a) Show that (x) x² is an explicit solution to dy X- = 2y dx on the interval (-∞, ∞). (b) Show…

A: An explicit solution is any solution that is given in the form y=y(x)

Q: What is the value of m if y=mx<-2x-3 has a critical point at x=-2?

A: Given y=mx2-2x-3

Q: If (1,1) is a critical point of f(x,y) = x³ – 3x + 3y² – 6y then (1,1) is:

A: (1,1) is the local minimum point   explanation is given in below step

Q: 3. Find the critical points of y : e 2x-1

A: The given function is y=e2x-1x To find the critical point

Q: •1 cln(5) 1- S SmS) xy evx ´dydx r

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Q: (1) Find all critical points. (a) ƒ(x,y) = x³ – y3 – 2xy + 6

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Q: The marginal cost of the xth box of light bulbs is  10 +  [ln(x + 1)] (x + 1)2,  and the fixed cost…

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Q: Solve the problem := (1+ 4x)/y over the interval from from x = 0 to x = 1 using a step size of 0.25…

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Q: Solve the given initial-value problem. x-( -(:) x-() X' = = X + %3D

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Q: Find the first three iterates appling successive approximation for the initial yule problem x² = x x…

A: Given that x'=x, x0=1

Q: Problem 4 For x,y,z E R 5x +y Given: 2x - 2y 3x +3y and xyz = -48. Find: S = x+y+z +z = 0 +2z = 0…

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Q: 2. Show that the substitution u = y' leads to a Bernoulli equation and solve this equation: xy" = y'…

A: See the attachment

Q: Show that y = x (1 – e*-1) is a solution | to y" – y' + e"-1 = -1

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Q: If Z = x + iy than Z is: Z = x - iy Z = -x + iy Option 3 Option 2 Z = x + iy Z = -x - iy Option 4…

A: Explanation of the answer is as follows

Q: Question 7: Evaluate v² dv (Reimann Method)

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Q: Maximize Z = 1 x +1 y S.T. 1x + 2 y s 2000 1x +1y 0.

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Q: (x) = 2 sin(V) -x- Ze with initial guesses

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Q: 16. (x – y ln y + y ln x) dx + x(ln y – In x) dy = 0. ) In

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Q: Solve the initial value problem Using undetermined coefficients method. y tayot y co) 20

A: Given- y'+2y=t , y0=0 To solve the given initial value problem using undetermined coefficients…

Q: Solve the iniliál value problems. dy MA Using Mihe's method 22A).

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Q: What is the solution to the initial – value problem : x²y" + xy' – y = 0 with y(1) = 2 and y'(1) = 4…

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Q: Let y (z) be the solution of the initial value problem 4) - " + 2y/ + 2y = 0 y (0) =a, y (0)-B, y"…

A: Answer

Q: Suppose we have a pendulum clock that uses a slightly damped pendulum to keep time (that is, b is…

A: At first we will derive a direct relationship between θ and m then from that we will observe how θ…

Q: Find the general solution to 3 1 0 0 3 1X. -X= dt 0 2

A: We first find eigen values, then corresponding eigen vector to solve the given system as in next…

Q: Given w= y² arctan(xyz) + 2x ln(xz). Determine მყ მთ = y + 2y arctan(xyz) + 2x ln(xz) = y[2…

A: We can solve this as follows:

Q: a.) What is the average cost C(x) per vest if x vests are produced in one​ day?   b.) Find the…

A: The average of a function over a specified interval is the integral of the function on that interval…

Q: Apply anthe problem y' = Richard san extra polation ity: Itt year=e. and approximate y and 1 ร 2 h =…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.