Download A2 Pure Mathematics (C3 and C4) by Roger Porkess PDF

By Roger Porkess

The highly-acclaimed MEI sequence of textual content books, aiding OCR's MEI based arithmetic specification, has been up to date to check the necessities of the recent requisites, for first educating in 2004.

Show description

Read Online or Download A2 Pure Mathematics (C3 and C4) PDF

Similar schools & teaching books

Policy for Open and Distance Learning (World Review of Distance Education and Open Learning)

Coverage for Open and Distance studying considers the questions that planners and coverage makers in open and distance studying have to tackle at any point of schooling. beginning via analysing the diversity of reasons for which open and distance studying is used, the e-book locations the problems in context and examines event in either the private and non-private area.

Building a Strong Vocabulary: A Twelve-Week Plan for Students

This consultant bargains strong thoughts mom and dad can use to assist their youngsters boost powerful vocabularies. young ones discover the realm of context clues, analogies, synonyms and antonyms, be aware maps, Greek and Latin roots, phrases from different languages, dictionaries, and thesauruses, and masses extra! every week via week plan.

Teaching Sound Film: A Reader

Educating Sound movie: A Reader is a movie analysis-and-criticism textbook that includes 35 essays on 35 geographically assorted, traditionally major sound movies. The international locations represented listed here are France, Italy, England, Belgium, Russia, India, China, Cuba, Germany, Japan, Russia, Romania, Czechoslovakia, Brazil, Taiwan, Austria, Afghanistan, South Korea, Finland, Burkina Faso, Mexico, Iran, Israel, Colombia, and the us.

Additional resources for A2 Pure Mathematics (C3 and C4)

Sample text

The inverse function is given by f –1(x) = x, since the sign means ‘the positive square root of ’. 19 It is often helpful to restrict the domain of a function so that its inverse is also a function. e. sin –1 or arcsin) key on your calculator the answer is restricted to the range –90° to 90°, and is described as the principal value. 5 (…, –330°, –210°, 30°, 150°, …), only one of these, 30°, lies in the restricted range and this is the value your calculator will give you. 4 For each of the following functions, work out the inverse function, and draw the graphs of both the original and the inverse on the same axes, using the same scale on both axes.

0 0 Translate the triangle through and then stretch the image with a scale 3 factor of 2 parallel to the x axis. Stretch the triangle with a scale factor of 2 parallel to the x axis and then 0 . translate the image through 3 0 Translate the triangle through and then stretch the image with a scale 3 factor of 2 parallel to the y axis. Stretch the triangle with a scale factor of 2 parallel to the y axis and then 0 translate the image through . 3 () () () () () () () (v) (a) (b) Stretch the triangle with a scale factor of 2 parallel to the x axis and then stretch the image with a scale factor of 3 parallel to the y axis.

7). 7 (iii) The curve of y = cos (x – 60°) is obtained from that of y = cos x by a 60° translation of 0 . 8). 8 EXERCISE 3B 1 Starting with the graph of y = x 2, state the transformations which can be used to sketch each of the following curves. Specify the transformations in the order in which they are used and, where there is more than one stage in the sketching of the curve, state each stage. State the equation of the line of symmetry. (i) (iii) (v) (vii) 28 y = x2 – 2 y = (x – 2)2 y = (3x – 2)2 y = 2x 2 + 4x – 1 (ii) (iv) (vi) (viii) y = 3x 2 y = 3(x – 2)2 y = x 2 – 4x y = 3x 2 – 6x – 2 2 The diagram shows a sketch of the graph of y = f(x), where f(x) = x 2 + 4x.

Download PDF sample

Rated 4.67 of 5 – based on 47 votes