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- Using Fixed-point Iteration Method. Complete the iterations based on the number and relative error. In addition, solve or find g(x) for both functions.Using what you know about the curve sketching algorithm, show that y=ln(tan(x/2)) is a monotonic function (either never increasing or never decreasing).Using secant method, compute the root of the given function shaded in yellow
- Use Newton’s Method to approximate the zero(s) of the function. Continue the iterations until two successive approximations differ by less than 0.001. Then find the zero(s) using a graphing utility and compare the results. f(x) = x4 + x3 − 3x2 + 2A right triangle has one vertex on the graph of y=x3,x >0 at another at the origin,and the third on the positive y-axis at as shown in the figure.Express the area A of the triangle as a function of x.Using a dependable source, define what a power function is and what restrictions it has. Distinguish between the different graphs of power functions by giving an explanation of why an x^2 graph looks like. Using your knowledge of the graphs of x^2 functions, what are the possible "numbers of solutions" this type of function can have?
- Question no 1: If the given function is continuous and having a root in [-1, A] where A= (registration no/100) Find the root using a bracketing method. Find the root using an iterative method. MY REGISTRATION NO. IS 120. REG NO. 120 PLEASE SOLVE THE QUESTION PROPER AND CORRECTLY. THANKS.The graphs of y = sin-1 x, y = cos-1 x, and y = tan-1 x are shown in Table. Use transformations vertical shifts, horizontal shifts, reflections, stretching, or shrinking of these graphs to graph the function. Then use interval notation togive the function’s domain and range.The graphs of y = sin-1 x, y = cos-1 x, and y = tan-1 x are shown in Table.Use transformations vertical shifts, horizontal shifts, reflections, stretching, or shrinking of these graphs to graph the function. Then use interval notation togive the function’s domain and range.
- A Ferris wheel loads passengers at a height 2 meters above the ground and carries them to height atmost 16 meters above the ground. It takes 4 minutes for the wheel to rotate once fully. Draw the graph of anapproximate function which models the height of a passenger on the Ferris wheel with respect to time wherethe passenger starts at the lowest point on the Ferris wheel. Make sure to include two periods.Find all relative extrema of the function. Use a graphing utility to verify your result. (If an answer does not exist, enter DNE.) y = ln(4x) −8x2The graph of a function is given. Find the approximate coordinates of all points of inflection of the function if any. (X,Y)=(_____,____)