Finney Weir Giordano PRELIMINARY Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved.

Figure 7(a): Scatter plot of (x, y) data in Table 2 (b) Using the regression line to estimate the price of a stamp in 2010.

Figure 14: Shows graphs of power functions that arise frequently in calculus. Knowing the general shapes of these graphs will help you recognize grapher failure. We will review other functions as the chapter continues.

Continued.

Continued.

Figure 24: y = 2x, y = 3x, y = 10x.

Figure 28: Graphs of (a) exponential growth, k = 1 Figure 28: Graphs of (a) exponential growth, k = 1.5 > 0 and (b) exponential decay, k = –1.2 < 0.

Figure 32: The graph of y = f –1(x).

Figure 32: The graph of y = f –1(x).

Figure 35: The graph of 2x and its inverse, log2 x.

Figure 39: Graphs of the (a) cosine, (b) sine, (c) tangent, (d) secant, (e) cosecant, (f) cotangent functions using and radian measure.

Continued.

Continued.

Figure 45: The general sine curve y = A sin [(2/B)(x – C)]+D, shown for A, B, C, and D positive. (Example 3)

Figure 50: Graphs of (a) y = cos–1 x, (b) y = sin–1x, (c) y = tan– 1x, (d) y = sec–1 x, (e) y = csc–1 x, and (f) y = cot –1 x.

Continued.

Continued.

Figure 63: A flow of the modeling process beginning with an examination of real world data.

Figure 67: The rest of Pearl’s data.

Figure 68: The logistic curve obtained from Equation (2) superimposed on a scatter plot of Pearl’s observed data in Figure 67.