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Suppose f_1(x)= x^3 and f_2(x)=x denote the profits of Company A and Company B, respectively, throughout 1 year (the be

Posted: Thu Jul 07, 2022 8:27 pm
by answerhappygod
Suppose f_1(x)= x^3 and f_2(x)=x denote the profitsof Company A and Company B, respectively, throughout 1 year (thebeginning of the year is denoted by x=0 and the ending denoted byx=1). The predicted profits of Company A and Company B in the sameyear are given by the functions g_1(x)=sqrt ​(x) andg_2(x)=e^x, respectively. The curves represented by the functionsf_1 ​ and g_1 ​ are shown in Figure M2W3G2, and the curvesrepresented by the functions f_2 and g_2 ​ are shown in FigureM2W3G3. Suppose the area of the region bounded by the two curves(the original curve and the predicted curve) in the interval [0,1]is defined to be the error in prediction. Using the informationabove, answer the following questions. What will the absolutedifference between the minimum values of f_2 and g 2 ​ in theinterval [0,1] be?
Choose the correct options from the following. The error inprediction for company A is 5/12 ​ .
The error in prediction for company A is 11/12 .
The error in prediction for company A is more than that forcompany B.
The error in prediction for company B is more than that forcompany A.
The error in prediction for Company A and Company B, cannot becompared using the given information.