مشدد on tha Find the first moment about y-axis (My) and center of mass (x) of the region bounded by the line y = x, and the line x = 1, and x-axis. include

Q: 2. Which of the following differential equations has the direction field shown? Explain your answer…

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A: Step 1:Step 2:Step 3:

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A: Given that : The vector field : Explanation: Given vector field is written here. Part(a): Step 1:…

Q: The solution of the initial value problem. = S t y + 4 y √ty 4y = 4 โy(1) = 4 t4 is S У t4 +7 2t4…

A: Step 1: Step 2:Step 3: Step 4:

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A: 1.(a)We are givenx=∣t∣andy=∣3−∣t∣∣We substitute for ∣t∣ in second equationy=∣3−x∣,x≥0(b)We observe…

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Q: Use integration by parts to determine which of the reduction formulas is correct. O 6 sec (x) dx = 6…

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A: KiStep 1: The given function is f(x)=3x⁵-5x³Differentiate with respect to x, f'(x)=15x⁴-15x² (Since,…

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A: Given:y=(x−3)1/3+2 Step 1: Setting Up the Integral  Rotated around the (x)-axis the Shell Method…

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A: Step 1:Using law of sines we haveba​=sinBsinA​It is given that initially, A=4π​ and…

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Q: Problem 1. Solving SDEs: Ornstein-Uhlenbeck process The purpose of this problem is to use Itô lemma…

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A: A) Graph of f(x): To determine which graph best matches the function f(x) = x3 - 12x without…

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A: The area bounded by the curves x+y=−2,3y−x=6, and x+y2=4 is the shaded area bounded by A, B, C, and…

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A: f)

Q: Show that the function f(x, y, z) = ex²+y²+z4 defined over the domain D = {(x, y)| x² + y² + z² =…

A: Given function: f(x,y,z)=ex4+y4+z4 defined over the domain: D={(x,y,z)∣x2+y2+z2=1}, has 6 global…

Q: Using both a first and a second derivative test, find all critical points of the given function and…

A: Step 1: Conduct the first derivative test y=x4−2x2+3 y′=4x3−2(2)xy′=4x3−4xy′=4x(x2−1) 4x=0x=0…

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A: Lorenz Curve:The Lorenz curve is a graphical representation of income or wealth distribution within…

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A: Step 1: Identify the formulas to be used to find the surface area (SA) and Volume (V) of a…

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Q: Which of the following is the solution of the initial value problem ft²y" +4ty' +2y=0 \y(1) = 2,…

A: Step 1:Step 2:Step 3:Step 4:

Q: H.W Ex find the solution by using Bernoulli method of D.E? dy/dx4y = xy³/2

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Q: 1. Submit answer Practice similar Use the substitution x = 3 sint to evaluate the integral f√√9-x2…

A: Step 1:Step 2: Step 3: Step 4:

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A: Step 1: Identify the derivative rules that should be usedPower Rule:d/dx (xn) = nxn - 1 Chain…

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A: (b) Solve the differential equations provided in (a) for Rt.To solve the differential equation for…

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Q: Please help on all asked questions. Pls show all work and steps. Please circle the final answer.

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Q: 1. Evaluate the integral f(x, y)dxdy, of function f R² →R over the domain DC R2, where: f(x, y) = 2x…

A: ∬D​f(x,y)dxdywhere  f(x, y) = 2x + y , and D is the triangular region with vertices at  (0, -1) ,…

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A: We find the scalar equation of the plane given by: r=⎣⎢⎡​−227​⎦⎥⎤​+s⎣⎢⎡​3−21​⎦⎥⎤​+t⎣⎢⎡​−215​⎦⎥⎤​ as…

Q: find lower and upper limit of theta and r

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Please help on all asked questions. Pls show all work and steps. Please circle the final answer.

A: Step 1:    Step 2: Step 3: Step 4:

Q: Explain to me why the answer is: 4a⁷b⁶ if not then defend yours

A: The problem is asking us to simplify the expression (4a3b2)(-2a2b2)2 using the laws of exponents.