By John J. Burke
A "makerspace" is a space in a library the place clients can use instruments and kit to layout, construct, and create all types of alternative issues. it can be a devoted room or a multipurpose house within which a suite of uncooked fabrics and assets can be used as wanted. tasks diversity from prototyping product designs with 3D printers, to programming robots, to making artwork out of recycled goods.
This functional consultant might help librarians
• enhance, funds for, and enforce makerspaces;
• write furnish proposals for funding;
• and comprehend the approach in the back of the maker stream for you to meet purchaser needs.
Makerspaces: a realistic advisor for Librarians additionally comprises beneficial case stories, descriptions of apparatus and new applied sciences, and versions for making plans and assessing projects.
Read or Download Makerspaces: A Practical Guide for Librarians (The Practical Guides for Librarians series) PDF
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Additional resources for Makerspaces: A Practical Guide for Librarians (The Practical Guides for Librarians series)
X " 0- x " 0+ 1 From the graph at right, you can see that lim =-1 x"0 and lim f ^ x h =0. qxp 4/1/08 3:22 PM Page 19 1 chapter An Introduction to Limits 2 Notice that since the left-sided and right-sided limits are different, lim f ^ x h does not exist. x"0 ONE-SIDED LIMITS FOR A POLYNOMIAL FUNCTION 3 2 For the function f ^ x h = x - x - 3x, find lim f ^ x h and lim f ^ x h . 4 6 x " -2 x " -2 - + 1 From the graph at the right, you can f(x) 3 23 see that lim f ^ x h =3 2 and 3 x " -2 2 lim f ^ x h =3 3 .
Qxp 4/1/08 3:22 PM Page 34 The Intermediate Value and Extreme Value Theorems (continued) Extreme Value Theorem If a function f is continuous on [a,b], then f has both a maximum value and a minimum value on [a,b]. Case I: f has both a minimum and a maximum value on (a,b). Case II: f has an extreme value at a and another extreme value in (a,b). f(x) f(x) max max min x a b x a b min Case III: f has an extreme value at b and another extreme value in (a,b). Case IV: f has the same maximum and minimum value.
Qxp 4/1/08 3:32 PM Page 36 Direct Substitution f ^ x h by simply substituting c for x and then evaluating Many times, you can find the limit lim x"c the resulting expression. In this section, you will see examples of how to determine the limits of polynomial, radical, and trigonometric functions, as well as how to determine the limit of a quotient of rational expressions. LIMIT OF A POLYNOMIAL FUNCTION Determine lim ^ x 2 + 3x h x"2 1 Begin with the original limit statement. 2 Substitute 2 for x, then simplify.