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A spherical tank to hold water is designed (See the figure). Where h= depth of water in tank (m). Find the h value. The function
A spherical tank to hold water is designed (See the figure). Where h= depth of water in tank (m). Find the h value. The function is f(h)=0. f(h)=1.047198h3+9.424778h230=0 Compute h for the first iteration and the true percent relative error t. Carry six significant figures during computation. The true value of the root is h=2.0269059 (25p)-a) Use the false-position method and the initial guesses of hl=2.2 and hL=1.8 (25p)-b) Use the Newton-Raphson Method and an initial guess of h=1.9 (25p)-c) Use the inverse quadratic interpolation and the initial guesses of hl2=1.8,hl1=1.9 and h1=2.2 (25p)-d) Use the Mller's Method and the initial guesses of h0=1.8,h1=1.9 and h2=2.2
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