Consider the following boundary value problem for the temperature u(x, y) of a rectangular two-dimensional plate...

 

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Consider the following boundary value problem for the temperature u(x, y) of a rectangular two-dimensional plate of width 8 and height 1. = 0 for 0 <x < 8 and 0 < y<1, u(z,0) = gbot (z) = -0.4625r + 5.5 for 0<r<8, 2x z u(x, 1) = giop(7) = 5.5+ sin() for 0<a <8, !! u(0, y) = glen (y) = y(1 – y) + 5.5 for 0<y<1, u(8, y) = gright (y) = 3.7y + 1.8 for 0<y<1. %3D The plate has a single hotspot, located at coordinates (hi, Yhi), at which the temperature is equal to ui Also, the plate has a single coldspot, located at coordinates (Zlo, Ylo), at which the temperature is equal to uio- Enter the following values, each correct to two decimal places. Ihi Yhi Uhi Ilo Ylo Ulo Consider the following boundary value problem for the temperature u(x, y) of a rectangular two-dimensional plate of width 8 and height 1. = 0 for 0 <x < 8 and 0 < y<1, u(z,0) = gbot (z) = -0.4625r + 5.5 for 0<r<8, 2x z u(x, 1) = giop(7) = 5.5+ sin() for 0<a <8, !! u(0, y) = glen (y) = y(1 – y) + 5.5 for 0<y<1, u(8, y) = gright (y) = 3.7y + 1.8 for 0<y<1. %3D The plate has a single hotspot, located at coordinates (hi, Yhi), at which the temperature is equal to ui Also, the plate has a single coldspot, located at coordinates (Zlo, Ylo), at which the temperature is equal to uio- Enter the following values, each correct to two decimal places. Ihi Yhi Uhi Ilo Ylo Ulo