Suppose that K, L, M, and N are four approximations of the unknown root r of fu such that f(K) = 0.001, f(L) = –0.11, f(M) = 0.0012 and f(N) = -0.0 best approximation of root r of f among these four approximations is Select one: O a. N O b. K

Q: 1. Find the roots/s using Secant Method a) x*-x-10 = 0

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: 3. Use Müller's Method to determine all the roots of f(x) = x' -x² - x– 2 Choose x2=1.0, Xo=x2+dx2,…

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Q: Suppose that K, L, M, and N are four approximations of the unknown root r of function ff such that…

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A: Here we use Newton's Divided Difference.

Q: 3. Use Müller's Method to determine all the roots of f(x)=x' -x² -x-2 Choose x2=1.0, xo=X2+Ôx2,…

A: we have, fx=x3-x2-x-2 x0=1.01x1=0.99x2=1 1st iteration:…

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Q: Suppose that K, L, M, and N are four approximations of the unknown root r of function f such that…

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Q: B\ find the root of f(x)-x'-x-1, in [1, 2] with 4 decimal places and E-0.009 by using Interval…

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Q: Suppose that K, L, M, and N are four approximations of the unknown root r of function f such that…

A: Given: Suppose K,L,M,N are four approximations of the unknown root r of function f. since r is the…

Q: 4 The approximation of the root x of the function f(x) - In(x+3)-x+3 accurate to within 10 using…

A: Sol:- Here ln(x+3)-x+3=0Let f(x)=ln(x+3)-x+3a=4,b=5,f(a)=0.9459,f(b)=0.07941st iteration :x0=4 and…

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Q: 6) Show that the function f:Z → N given by 2n +1, n20 f(x) = -2n, n<0. is 1-1 and onto. I

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Q: 1 2. Consider the function defined by f(x) = over [-1, 1]. SET-UP the Lagrange %3D 1+ 12x²…

A: Given function is fx=11+12x2 over interval -1, 1. Now 11 equally spaced nodes on -1, 1 are -1, -0.8,…

Q: Suppose that K, L, M, and N are four approximations of the unknown root r of function f such that…

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Q: Show that g(t) = t2tant takes on the value ½ for some t in [ 0 , π/4 ].

A: gt=t2tant on the interval 0, π4. When t=0, g0=02tan0=0 When t=π4, gπ4=π42tanπ4=π2161=π216=0.6168

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Q: Suppose that K, L, M, and N are four approximations of the unknown root r of function f such that…

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Q: f(x) = x³ + 2x – 5

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A: The solution of the problem is given in the next steps.

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.