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- Determine dimension x to 3 decimal places.Graph the defined function over a one-period interval. y = - sin (x - pie/2)The function (f) with a period of 2π is defined by: f(x) = cosh (x - 2π) if x∈[-π ; 3π] a) Using an appopriate software(excel), give a graph representation of the function(f) for x∈[-π ; 5π] Note: cosh (x) = (ex + e-x)/2 and sinh(x) = (ex - e-x)/2 b) Is the function and even or odd parity?
- The function (f) with a period of 2π is defined by: f(x) = cosh (x - 2π) if x∈[π ; 3π] a) Using an apoppriate software(excel), give a graph representation of the function(f) for x∈[-π ; 5π] Note: cosh (x) = (ex + e-x)/2 and sinh(x) = (ex - e-x)/2Find the graph of the given function over a one-period interval y=-4 tan 1/2xGraph the function defined as follows over a two-period interval. y = -sin x
- 13.Find a sinusoidal function with a maximum value of 9 that occurs at x=4 , and a minimum value of -1 that occurs at x=11.Graph the function over one period. Graph with some vertical asymtotes when applicable y= -sin (2pi - x) -2What do the limits limh→0((sin h)/h) and limh→0((cos h - 1)/h) have to do with the derivatives of the sine and cosine functions? What are the derivatives of these functions?
- Did you know that out from the rotation of a Ferris wheel a graph of either sine or cosine function is formed? Amazing right?! This is due to the shape of the said ride as compared to a unit circle. Assume that you were riding on the biggest Ferris wheel in the Philippines – known as the Pampanga eye. As you enter on its gondola at the base, the minimum point of the graph of the said functions above is already represented and the maximum point of the graph is located when you have reached the top of the wheel. Whereas, the period or one complete cycle of the graph is attained when you reach at the base again. Your task this time is to sketch the graph of a circular function based on the movement of a Ferris wheel, determine its amplitude and period, and illustrate its domain and range. Now, let’s get started! From riding the Ferris wheel, you observe the following: (1) The gondola is 2 meters off the ground; (2) The top portion of the wheel is 60 meters from the gondola at the base (3)…Without graphing the function y=10sin(7x) determine its amplitude, period, and section width (distance between critical points). Leave answers in exact form; type pi for π.Sketch the graph of the function. (Include two full periods.) y = −sin 2πx/3