iOREGON DEPARTMENT OF TRANSPORTATION GEOMETRONICS 200 Hawthorne Ave., B250 Salem, OR 97310 (503) 986-3103 Ron Singh, PLS Chief of Surveys (503) 986-3033 BASIC SURVEYING - THEORY AND PRACTICE David Artman, PLS Geometronics (503) 986-3017 Ninth Annual Seminar Presented by the Oregon Department of Transportation Geometronics Unit February 15th - 17th, 2000 Bend, Oregon David W. Taylor, PLS Geometronics (503) 986-3034 Dave Brinton, PLS, WRE Survey Operations
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Most of the functions we have studied have been polynomial or rational functions, with a few others involving roots of polynomial or rational functions. Functions that can be expressed in terms of addition, subtraction, multiplication, division, and the taking of roots of variables and constants are called algebraic functions. In exponential & logarithmic functions we introduce and investigate the properties of exponential functions and Logarithmic functions. These functions are not algebraic;
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OfficeLocation VARCHAR(50) not null, Phone VARCHAR(20) not null, Email VARCHAR(60) not null, constraint pk_agent primary key (AgentID) ); GO Use screenimages --Creates the Order table create table Orders ( OrderID INT not null, AgentID INT not null, OrderDate DATE not null, ShipDate DATE not null, constraint pk_orders primary key (OrderID), constraint fk_agent1 foreign key (AgentID) references Agent (AgentID), ); GO Use screenimages --Creates the Products table create table
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a) If a and b are constants, evaluate h→0 trig expression involving b&h A correct answer without detailed reasoning will be given little merit. b) Something involving related rates. Q. Obtain the derivative of the following functions, and simplify as far as possible: … functions not shown…say two different part questions involving log,
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date and time values Entering Multiple Lines of Text Within a Cell * Click the cell in which you want to enter the text * Type the first line of text * For each additional line of text, press the Alt+Enter keys (that is, hold down the Alt key as you press the Enter key), and then type the text Changing Column Width and Row Height * A pixel is a single point on a computer monitor or printout * The default column width is 8.38 standard-sized characters * Row heights are expressed
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DB2 & SQL Concepts 1.2.1 What is SQL? Structured Query Language (SQL) is a standardized language for defining and manipulating data in a relational database. In accordance with the relational model of data, the database is perceived as a set of tables, relationships are represented by values in tables, and data is retrieved by specifying a result table that can be derived from one or more tables. DB2 transforms the specification
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Basic Operations . . . . . . . . . . . . . . . . . . . . . 1.2 Rules of Roots . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3 Rules of Exponents . . . . . . . . . . . . . . . . . . . . . . . . . 1.4 Allowed and Disallowed Calculator Functions During the Exam 1.5 Sequences and Series . . . . . . . . . . . . . . . . . . . . . . . . 1.6 Arithmetic Sequences and Series . . . . . . . . . . . . . . . . . 1.7 Sum of Finite Arithmetic Series (u1 + · · · + un ) . . . . . . . . . 1.8 Partial
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f (a)). The equation of the 1 2 tangent line is y = − 5 x − 25 . Find a, f (a), and the slope of the parabola f (x) at (a, f (a)). 6 (b) Consider the graph of y = x3 . Find the point(s) on the graph where the slope is equal to 11 . (c) The demand function for a commodity with price P is given by the formula D(P ) = a − bP . Find dD(P )/dP . (d) The cost of producing x units of a commodity is given by the formula C(x) = p + qx2 . Find C (x), the marginal cost. Problem 2. (a) Determine the limit limx→0
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Real-valued functions[edit] A real-valued function f is one whose codomain is the set of real numbers or a subset thereof. If, in addition, the domain is also a subset of the reals, f is a real valued function of a real variable. The study of such functions is called real analysis. Affine functions | Quadratic function | Continuous function | Trigonometric function | An affine function | A quadratic function. | The signum function is not continuous, since it "jumps" at 0. | The sine and cosine
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domain of this relation? (b.) What is the range? (c.) Is this a function? Why or why not? (d.) Is this relation one-to-one? Why or why not? (d.) Define g as {(Mindy, Subaru), (Jasmine, Toyota), (Sharon, VW), (Roger, Kia), (Jose, Oldsmobile)}. Is g a one-to-one function? Why or why not? 2. Prove that the function f : R → R given by f (x) = 4x − 3 is surjective. [You may use the Proof Shuffler applet to help you]. 3. Prove that the function f : [0, ∞) → [4, ∞) given by f (x) = x2 + 4 is bijective. [You
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