Find a general solution of the following boundary value problem in polar coordination. w all steps and details. 1 1 - Ur + p2 0, ге (0, р), 0€ (0, т], (1.1) Urp + u(r, 0) u(r, 7) u(p, 0) 0, r e (0, p), 0, re (0, р), f(0), 0 E [0, T]. (1.2) (1.3) (1.4)

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A: Given,            x2-4y2+6x-8y+1=0To find : Write the equation in standard form.

Q: Q I solve The Laplace equation 2 s² = u (0₁g) =0 X 4 (x, 0) 20 y (l,g) + u(l,g) U (X, 2) = 1 =0

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: solve

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A: Explained below...

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Q: 1. Eliminate the cross-product term by a suitable rotation of axes a. x² + xy + y² = 6 b. 3x²…

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Q: 8) reflection across x =-1 y A) D(1, –3), E(-3, –2), C'(1, –5) B) D(-3, 3), E(1, 2), C'(-3, 5) C)…

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A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: (b) (1, 5T/2) ( (x, y) = y y -2.0 -1.5 -1.0 -0.5 -1.0 -0.5 0.5 1.0 -0.5 -1.00 - 10 -1.5 -15 - 2.0f y…

A: (b) (r,θ)=1,5π2So,x=r cos θ  =1 cos5π2  =0y=r sin θ  =1 sin5π2  =1(-1)  =-1 Therefore, the point is…

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.