all weather instruments and their functions

Báo cáo hóa học: " A systematic review of mobility instruments and their measurement properties for older acute medical patients" doc

... website [16] and the Australian Physiotherapy Association Neurology Special Group Handbook [17] Two independent reviewers examined hard copies of all included papers and applied inclusion and exclusion ... this review and were summarised under each of the following categories: Minimally clinically important difference The MCID has been defined by Jaeschke, Singer and Guyatt [19] as "the smallest difference ... multiple stands from chair, standing balance, step-up and ambulation Approximately 10 minutes [29] 8.6 minutes (SD = 3.6 minutes) [41] A bed, chair, stop watch, standardised step and gait aid...

A new approach to semantic and syntactic functions of English adjectives – A contrastive analysis with their Vietnamese equivalents

Danh mục: Khoa học xã hội

... The different and similar features between English and Vietnamese adjective in terms of their syntactic functions as well as their orders are pointed out Firstly, in terms of their functions, both ... syntactic and semantic functions According to the survey, the writer would like to introduce classification of English adjectives in terms of usage and their semantic and syntactic functions ... English and Vietnamese adjectives English and Vietnamese are two different languages and have their own features Moreover, because of different culture and communication habit, learners of English and...

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Báo cáo khoa học: Two types of replication protein A in seed plants Characterization of their functions in vitro and in vivo ppt

Danh mục: Báo cáo khoa học

... functionally specialized in all seed plants Here, we report biochemical differences between OsRPA70a and OsRPA70b, and genetic differences between the A thaliana homologs of OsRPA70a and OsRPA70b ... of OsRPA70a and OsRPA70b (AtRPA70a and AtRPA70b) A thaliana was used for genetic analysis of the functions of OsRPA70a and OsRPA70b because it has closely related homologs (AtRPA70a and AtRPA70b, ... and 75 p.p.m MMS (Fig 2D,E), and by 0.1, 1, and mm H2O2 (Fig 2F,G) Compared with the wild-type plants, the growth of atrpa70b and AtRPA70b RNAi mutant seedlings was more inhibited by 10 000 and...

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 116 pdf

Danh mục: Toán học

... change and, 209–211, 711, 983 of inverse trigonometric functions, 703–706 limit deﬁnition of, 190, 191 local linearity and, 279–284 of logarithmic functions, 467–471 meaning and notation and, 208–209 ... basic principles of, 964–965 Comparison Test and, 969–971 Integral Test and, 965–969, 972 Limit Comparison Test and, 971–972 Ratio and Root tests and, 972–976 summary of, 977 transition to, 962 ... 712–714 linear functions and, 143–144, 169 Constant solutions See Equilibrium solutions Continuity deﬁnition of, 270, 273 Extreme Value Theorem and, 271 Intermediate Value Theorem and, 271 Sandwich...

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 1 pps

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... my family, especially my grandmother, Sonia Gottlieb Preface The concepts of calculus are intriguing and powerful Yet for a learner not ﬂuent in the language of functions and their graphs, the ... between a 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 ... learners often bring to their studies may well be lost When all the technical details and theory are laid out in full at the start, students may become lost and, not understanding the subtleties...

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 2 ppsx

Danh mục: Toán học

... Polynomial Functions and Their Graphs N 373 391 EXPLORATORY PROBLEMS FOR CHAPTER 11: Functions and Their Graphs: Tinkering with Polynomials and Rational Functions 404 11.4 Rational Functions and Their ... 406 Inverse Functions: A Case Study of Exponential and Logarithmic Functions 421 Inverse Functions: Can What Is Done Be Undone? 421 12.1 What Does It Mean for f and g to Be Inverse Functions? ... Geometric Sums and Series 579 550 528 Contents PART VII CHAPTER 19 Trigonometric Functions 593 Trigonometry: Introducing Periodic Functions 593 19.1 The Sine and Cosine Functions: Deﬁnitions and Basic...

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 3 ppsx

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... acceptable inputs The range of a function is the set of all possible outputs Functions are typically given short names, like f or g.3 We typically call our generic function f (for function) For each ... mathematical notation and usage may provide lucid relief 4 CHAPTER Functions Are Lurking Everywhere Exploratory Problems for Chapter Calibrating Bottles From The Language of Functions and Graphs: An ... Shell Centre for Mathematical Education 1.2 What Are Functions? Basic Vocabulary and Notation 1.2 WHAT ARE FUNCTIONS? BASIC VOCABULARY AND NOTATION N EXAMPLE 1.1 The following table describes...

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 4 doc

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... undeﬁned; Equality of Functions The functions f and g are equal if: f and g have the same domain, and f (x) = g(x) for every x in the domain −x For example, the functions f (x) = x x and g(x) = x − ... x be the list price of a car and let f and g be the tax functions in states and 2, respectively We can describe the input-output relationship of the functions f and g using formulas f (x) = 500 ... the car entering Gallup iii Half the time it took to reach Gallup 1.2 What Are Functions? Basic Vocabulary and Notation 13 iv v vi vii viii Their speed hours after reaching Gallup The distance...

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 5 pptx

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... between the point on the ladder and the wall 1.3 Representations of Functions 23 wall 13 12 – h 13 ft 12 ft d h ft h ladder against wall Figure 1.9 We must relate d and h We can this by using similar ... 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 we write A ⇔ B Speciﬁcally, “P is a square if and only ... 22 CHAPTER Functions Are Lurking Everywhere wall y ft ft x ft ladder against wall Figure 1.8 The Pythagorean Theorem tells us how x and y are related x + y = 82 y = 64...

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 6 doc

Danh mục: Toán học

... one place, then the function is 1-to-1 Functions: The Grand Scheme In this text we will be looking at functions of one variable—but not all functions are functions of one variable For instance, ... Figures 1.16(a)–(c), 1.17(a) and (b), and 1.18(b) and (d) are, in fact, functions The test for a function is that every input must have only one output assigned to it; graphically, this means if we ... any, of these functions are 1-to-1? 38 CHAPTER Functions Are Lurking Everywhere 13 The graphs of f and g are given below Approximate the following (a) All x such that f (x) = g(x) (b) All x such...

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 7 pps

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... distance between the man and the lamppost 42 Assume that f is a function with domain (−∞, ∞) Which of the following statements is true for every such function f and all p, w, and z in the domain of ... the width 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 ... gas and tolls and I estimate that each day costs C cents in wear and tear on the car I have no other expenses Express my daily proﬁt as a function of h, the number of hours I work (A, w, G, and...

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 9 potx

Danh mục: Toán học

... four functions we 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 ... decreasing on (0, ∞) (d) j is undeﬁned and discontinuous at x = (e) j is 1-to-1 Answers to Exercise 2.8 (a) g and h are even functions (b) f and j are odd functions (c) The graph of an odd function ... 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)...

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 10 pps

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... Characterizing Functions and Introducing Rates of Change T Temperature (°C) (11, 12) 11 t (time) (6, –3) Suppose we want to determine how fast the temperature is increasing between a.m and 11 a.m ... [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 = ∆y ∆x (b, f(b)) ∆y = f(b) ... 60 mph change in time hours He stopped once for gas and began and ended the trip with zero velocity; therefore he wasn’t traveling at 60 mph all the time There must have been some times when his...

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 11 doc

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... amount 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 ... inﬁnite and nonrepeating Some √ √ examples of irrational numbers are π, 2, and 5.14 The set of real numbers is the set of all rational and all irrational numbers The real numbers correspond to all ... graph and some information about relative position from the velocity graph As we proceed, we will develop a deeper understanding of the connections between position and velocity, and, more generally,...

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 12 ppt

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... –20) 94 CHAPTER Characterizing 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 ... Inc 1997 17 Due in part to their methods of record keeping and their hot dry climate, the ancient Egyptians and Babylonians have left modern historians more evidence of their mathematical development ... and Weierstrass put irrational numbers on solid ground As previously mentioned, the set of real numbers is the set of all rational and all irrational numbers; the real numbers correspond to all...

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 13 pdf

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... g undo one another If h(g(x)) = x and g(h(x)) = x, then h and g are called inverse functions (We ﬁrst introduced the topic of inverse functions in Section 1.3 and will discuss it in detail in ... COMPOSITION OF FUNCTIONS Whereas the addition, subtraction, multiplication, and division of functions is simply the addition, subtraction, multiplication, and division of the outputs of these functions, ... 104 CHAPTER Functions Working Together I (t) P (t) This is the 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)...

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 14 ppsx

Danh mục: Toán học

... x−3 and g(x) = x In Problems 39 through 43, ﬁnd (f + g)(x), (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 ... h(x) = f (g(x)) and j (x) = g(f (x)) What 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 ... y-intercepts of f (x) and g(x) affect the intercepts of places where f (x) g(x) f (x) g(x) and the is undeﬁned? 19 Suppose that the functions f , g, and h are deﬁned for all integers At the top...

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 15 docx

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... 122 CHAPTER Functions Working Together Decompose the functions in Problems through by ﬁnding functions f (x) and g(x), f (x) = x and g(x) = x, such that h(x) = f (g(x)) ... Chapter Flipping, Shifting, Shrinking, and Stretching: Exercising Functions In these exercises you will experiment with altering the input and output of functions and draw conclusions about the effects ... graph has turning points (peaks and valleys)? Does it affect the 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...

Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 16 pptx

Danh mục: Toán học

... the pocketful of functions you’ve been introduced to (the identity, squaring, reciprocal, and absolute value functions) , graph the following functions Label any asymptotes and x- and y-intercepts ... –2) Graph the functions in Problems 10 through 18 by starting with the graph of a familiar function and applying appropriate shifts, ﬂips, and stretches Label all x- and y-intercepts and the coordinates ... (x) = |x| 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...

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