3. Consider the functions f1(x) = e, f2(x) = e², and f3(x) = e4. Call the region of Quadrant I completely enclosed by these three functions by Region R. A. In Quadrant I: functions f₁ and f2 have one intersection point; functions f₁ and f3 have one intersection point; functions f2 and f3 have one intersection point. Find the x-coordinates of these three intersection points. B. Labeling the three x-coordinates from Part A as a < b < c: on the interval [a, b], two of these three functions are the "top" and "bottom" functions defining Region R; on the interval [b, c], two of these three functions are the "top" and "bottom" functions defining Region R. Identify the "top" and "bottom" functions defining Region R on the intervals [a, b] and [b, c]. C. Sketch a graph of Region R.

Please answer the question in its entirety.

A collector of antique clocks sold at auction believes that the price received for the clocks may be modeled as a linear function of the age of the clocks and the number of bidders at the auction. After a preliminary study and collection of 32 observations, the collector came up with the following second-order model: y = BO+B₁x₁+B₂x₂ + ß3 x1x2 +B4x² +ɛ, where y: price of a clock; x₁: age of a clock; x2: the number of bidders. Considering the output below and by setting a = 0.05, answer the following questions. The regression equation is Price = 262 +2.26 Age + 14.2 Bidder + 1.13 AgeBid 4.20 Bid^2 Predictor Constant -261.7 2.260 14.21 Age Bidder AgeBid Bid^2 S = 84.512 Coef SE Coef 1.1301 -4.196 Analysis of Variance Source 404.4 2.052 R-Sq= 96.0% Variable Age Bidder AgeBid Bid^2 60.83 0.23 5.17 0.000 0.219 1.344 -3.12 0.004 R-Sq (adj) DF Regression 4 4606950 Residual Error 27 192840 Total 31 4799790 SS T P -0.65 0.523 1.10 0.280 0.817 a. Is the model useful as a whole? Apply an…

1. Determine whether each of the following equations defines y as a function of x. a) x² + y² + 3x=0 b) x-5y=9 c) y = |x-1|

Let �(�) be the height of a maple tree in inches and � the number of years since 2000. A linear model for the data is �(�)=9.44�+84.182.36912155060708090100110120130140150160170180190200210220A) To the nearest inch, estimate the height of the maple tree in 2012.  inchesB) Use the equation to find the year in which the tree will be 249 inches tall.