an integrated view of cognition and action

... section reviews some of the evidence for and against the role of antioxidants in chronic pancreatitis, and discusses the potential therapeutic role of antioxidants Role of antioxidants in the ... 1999;10:179–83 38 Schmitz-Moormann P, Himmelmann GW, Brandes JW et al Comparative radiological and morphological study of human pancreas Pancreatitis like changes in postmortem ductograms and their morphological ... chronic pancreatitis and pancreatic duct changes of chronic pancreatitis Finally, Bourliere and Sarles [9] reviewed 106 consecutive patients with pseudocysts of the pancreas associated with pancreatitis...

Ngày tải lên: 16/02/2014, 07:20

... Whitcomb and Hans G Beger 17 Section One Anatomy of the pancreas The history of the pancreas, Irvin M Modlin, Manish C Champaneria, Anthony K.C Chan, Mark Kidd, and Geeta N Eick Development of the pancreas ... Treatment of carcinoids of the pancreas and biliary tract, 823 Andrea Frilling and Vito Cicinnati Nonsurgical management of endocrine tumors, 832 Rudolf Arnold and Anja Rinke Liver transplantation ... Shin-ichi Egawa, and Seiki Matsuno The role of laparoscopy and peritoneal cytology in the management of pancreatic cancer, 668 Kevin Conlon and Paul Balfe Pancreatic cancer staging systems and their...

Ngày tải lên: 16/02/2014, 07:20

... numbers, 95 Net change with constant rate of change, 712–714 difference between left- and right-hand sums and, 718–722 explanation of, 712 with nonconstant rate of change, 715–718 overview of, 711–712 ... integrals explanation of, 903 infinite interval of integration and, 903–907 method of comparison and, 912–914 methods to approach, 908–912 unbounded and discontinuous integrands and, 907–908 use of, 903 ... analysis of extrema and, 341–348 application of, 361–364 concavity and second derivative and, 356–358 extrema of f and, 348–354 overview of, 341 Order, of differential equations, 988 Order of operations,...

Ngày tải lên: 05/07/2014, 18:20

... without an understanding of its conceptual underpinnings This text grew out of an integrated calculus and precalculus course Three general principles informed the creation of both the course and ... learning deductive and inductive reasoning, learning to use examples and counterexamples, and learning to understand the usefulness of a variety of perspectives in devising an argument Students ... function and its derivative without being formally introduced to the derivative Part II focuses on rates of change and modeling using linear and quadratic functions Linearity and interpretation of...

Ngày tải lên: 05/07/2014, 18:20

... Definitions and Basic Properties 19.2 Modifying the Graphs of Sine and Cosine 603 594 19.3 The Function f (x) = tan x 615 19.4 Angles and Arc Lengths 619 CHAPTER 20 Trigonometry—Circles and Triangles ... Limits—Methods of Inquiry and a Definition 245 Left- and Right-Handed Limits; Sometimes the Approach Is Critical 7.3 7.4 N CHAPTER 226 A Streetwise Approach to Limits 265 Continuity and the Intermediate and ... cases and to use numerical, graphical, and analytic methods to investigate problems We ask that you think about the answers you get, compare them with what you expect, and decide whether your answers...

Ngày tải lên: 05/07/2014, 18:20

... vessel and blood pressure, an economist in the relationship between the quantity of an item purchased and its price, a grant manager in the relationship between funds allocated to a program and ... important and versatile We can attach many different mental pictures and representations to it; our choice of representation will often depend upon context Upon first exposure, the notation and ... temperature and the pressure of a gas, an environmental scientist in the relationship between use of pesticides and mortality rate of songbirds, a physician in the relationship between the radius of a...

Ngày tải lên: 05/07/2014, 18:20

... numbers and are included in the interval We indicate this on a number line by using filled circles at and 5 (2, 5) denotes the set of all numbers greater than and less than but excluding and themselves ... the area of the circle and the function whose input is the radius of a circle and whose output is the area Recall that a “T” sign may sometimes be a landmark indicating a subway station and other ... is the set of all acceptable volumes: [0, B], where B is the volume of the full beaker The volume of a cylinder of height h and radius r is the product of the height and the area of the disk...

Ngày tải lên: 05/07/2014, 18:20

... want to confuse pounds of sugar cane with pounds of panda Question: How many calories does the panda need for one day? C calories · x lbs of panda = Cx calories lbs of panda Question: How many ... so we’ll pause for a moment to clarify the meaning of an “if and only if” statement Language and Logic: An Interlude “A if and only if B” means “A and B are equivalent statements.” Using symbols ... Functioning on a diet of sugar cane Giant pandas eat sugar cane S pounds of sugar cane provide N calories On average, each day a panda needs to take in C calories for every pound of the panda’s weight...

Ngày tải lên: 05/07/2014, 18:20

... rectangular box has a square base Let s denote the length of the sides of the base and let h denote the height of the box, s and h in inches (a) Express the volume of the box in terms of s and ... For instance, suppose you were to calculate the value, V , of the change in your pocket V is a function of q, d, n, and p, where q, d, n, and p are the number of quarters, dimes, nickels, and pennies, ... starting out fresh and tiring at the end First Slice and Tass both run a mile in 1:12 On the same set of axes, graph F (t) and T (t), the distances traveled by First Slice and Tass, respectively,...

Ngày tải lên: 05/07/2014, 18:20

... reader can follow your train of thought easily 52 At the Central Perk coffeehouse in Manhattan, Rachel serves c cups of coffee and d desserts per hour The coffee costs a dollars per cup, and the ... to parts (a) and (b) in terms of any or all of the constants A, X, B, L, and C (a) Express the number of bushels of huckleberries the two bears eat as a function of t, the number of hours they ... of the archway by w and the height of the vertical wall of the rectangle y The width and height are given in meters (a) Express y, the height of the side wall, as a function of w, the width of...

Ngày tải lên: 05/07/2014, 18:20

... EXERCISE 2.5 Look at each of the functions f (x) = x, g(x) = x 2, h(x) = |x|, and j (x) = and answer the following questions x one by one (a) What are the domain and range of the function? (b) Where ... calculator to look at the graph of a function you can set the range and domain so that the scales are very different You should be aware that your choice of domain and range can make the line f (x) = ... introduced at the beginning of this section: f (x) = x, g(x) = x 2, h(x) = |x|, and j (x) = x (a) Which of functions f , g, h, and j are even? (b) Which of functions f , g, h, and j are odd? (c) Describe...

Ngày tải lên: 05/07/2014, 18:20

... calibration of a bottle and discussing how a change in the volume of water changes the height In the case of a cylindrical beaker we saw that the ratio change in height change in volume is constant We ... average rate of change of f on [a, b] is the slope of the secant line through the points (a, f (a)) and (b, f (b)) 76 CHAPTER Characterizing Functions and Introducing Rates of Change f(x) slope ... percent increase in the price of a cup of coffee in Seattle from 1970 to 2000 (c) The average rate of change of the price of a cup of coffee from 1970 to 2000 The graph of a function f is given below...

Ngày tải lên: 05/07/2014, 18:20

... functions and their corresponding rate functions EXERCISE 2.10 Oil is leaking from a point and spreading evenly in a thin, expanding disk We can measure the radius of the disk and want to know ... the exact values of the zeros and turning points of this function (Some calculators can this.) The answers are: √ √ zeros: x = + and x = − √ turning point: x = The exact answers cannot be expressed ... at the graph of g to see what type of information is accessible from 10 its graph Graph this function on the standard viewing window of your calculator (with a domain and range of [−10, 10] )...

Ngày tải lên: 05/07/2014, 18:20

... Functions and Introducing Rates of Change (a) Describe the trip in words Include where the trip started and ended and how fast (and in what direction) we traveled (b) Graph velocity as a function of ... History of Mathematics: An Introduction, by David Burton, McGraw-Hill Companies, Inc 1997 17 Due in part to their methods of record keeping and their hot dry climate, the ancient Egyptians and Babylonians ... looking at an average rate of change of a quantity to inquiring about an instantaneous rate of change; for example, instead of asking about the average velocity of a biker over a five-minute period...

Ngày tải lên: 05/07/2014, 18:20

... heights of the graphs of f and g at x1 An analogous statement can be made for subtraction The domain of h is the set of all x common to the domains of both f and g N EXAMPLE 3.2 Let f (x) = x and ... quotient of the functions I and P If h(x) = f (x) · g(x), then the output of h is the product of the outputs of f and g If j (x) = f (x) , then the output of j is the quotient of the outputs of f and ... sum of functions f and g, h(x) = f (x) + g(x), then the output of h corresponding to an input of x1 is the sum of f (x1) and g(x1) In terms of the graphs, the height of h at x1 is the sum of the...

Ngày tải lên: 05/07/2014, 18:20

... (fg)(x), and domains f g (x), and find their 39 f (x) = ax + b and g(x) = cx + d 40 f (x) = 3x + and g(x) = 5x − 41 f (x) = 2x + and g(x) = x − 42 f (x) = 43 f (x) = x+1 √ and g(x) = x and g(x) ... are the domains of h and j ? 35 f (x) = x + and g(x) = 36 f (x) = x+2 √ x and g(x) = x − 118 CHAPTER Functions Working Together 37 f (x) = x and g(x) = −2x + 38 f (x) = x x−3 and g(x) = x In ... x- and y-intercepts of f (x) and g(x) affect the intercepts of f (x)g(x)? State this as a general rule 17 For what values of x (if any) is f (x) g(x) undefined? 18 How the x- and y-intercepts of...

Ngày tải lên: 05/07/2014, 18:20

... −1, and −1 < k < i What is the effect on the x-intercepts? ii Do the locations of the peaks and valleys change? iii Do the heights of the peaks and valleys change? Alterations to both input and ... with those of your classmates and resolve any discrepancies Modifying the output of f (a) How does the graph of y = kf (x) (where k is a constant) relate to that of y = f (x)? You might want to break ... value of the function at these peaks and valleys? (c) How does the graph of y = cf (x) + k (where c and k are constants) relate to that of y = f (x)? In particular, let f (x) = x On the same set of...

Ngày tải lên: 05/07/2014, 18:20

... with the graph of a familiar function and applying appropriate shifts, flips, and stretches Label all x- and y-intercepts and the coordinates of any vertices and corners Use exact values, not numerical ... Graph the functions on the same set of axes 19 g(x) = (x − 3)2 − and f (g(x)) 20 g(x) = −(x + 2)2 + and f (g(x)) 21 g(x) = |x − 2| − and f (g(x)) 22 Let f (x) = x and g(x) = x Using what you’ve learned ... average rate of change of the function k over the interval [6, + h] (c) Suppose that the average rate of change of the function k over the interval [6, + h] is −5 The functions f , g, and h are...

Ngày tải lên: 05/07/2014, 18:20

... rate of change of D = = 60 miles per hour N Definition f is a linear function of x if f can be written in the form f (x) = mx + b, where m and b are constants The graph of a linear function of ... to use the x- and y-intercepts in order to calculate the slope; any two points will N EXERCISE 4.1 Verify that any equation of the form ax + cy = d, where a, c, and d are constants and c = is a ... to x is m, regardless of our choice of points Since y = mx + b, the points (x1, y1) and (x2, y2) can be written as (x1, mx1 + b) and (x2, mx2 + b) 146 CHAPTER Linearity and Local Linearity (x2,...

Ngày tải lên: 05/07/2014, 18:20

... demand curves to express the relationship between the price of an item and the number of items demanded by consumers Below is a demand curve for a certain good q is the quantity of the good demanded ... the secant line passing through points P and Q, where P and Q are points of the graph of f (x) with the indicated x-coordinates 14 f (x) = x + 2x; the x-coordinates of P and Q are x = and x = ... curve Let R = the number of units of item and S = the number of units of item S c a R (a) Write an equation for the line in terms of S, R, a, and c (b) Interpret the meanings of the intercepts (c)...

Ngày tải lên: 05/07/2014, 18:20