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7\((((|D(<$.#######$j% (#####rG"TG#@~:UiR"#$0<$"((G#(G#`##g<$(>Z: Last Minute Core 3 (AQA) Revision
What does the n in the mid-ordinate and Simpsons rules stand for?
(1 point)
a) What is the value of e0?
(1 point)
b) Where does the graph of y = lnx intercept the x axis?
(3 points)
Sketch the following graphs with appropriate axes:
sin-1x
(1 point)
cos-1x
(1 point)
tan-1x
(1 point)
What are the seven trigonometrical identities that we have used in Core 3?
(1 point each)
Solve sinx = (((3)/2 giving all values in the intervals:
-180 < x < 180
(1 point)
2( < x < 3(
(3 points)
a) What is a good first step in the process for solving equations such as(x2+3x+2( = 3?
(1 point)
b) For what values of k do the equations y = (2-x2( and y = k, have 0, 2, 3 and 4 roots?
(3 points)
a) Given the composite function gf, how is the range of f related to the function g?
(1 point)
b) In the same composite function gf, what is the range of g restricted by?
(1 point)
c) How is the range of a function g-1 related to the function g?
(1 point)
a) For what type of function (one to one, one to many, many to one, many to many) can an inverse function be found?
(1 point)
b) How can we change a one to many function into a one to one function?
(1 point)
c) What is a self inverse function?
(3 points)
a) What is the integration by parts formula? (But dont worry too much as its on the formula sheets)
(1 point)
b) When using integration by parts is the intention to make the u (on LHS) or the dv (on LHS) simpler?
(3 points)
a) What is the formula for finding a volume of a revolution?
(1 point)
b) What, if anything, are the consequences of a volume revolution rotated around y axis?
(3 points)
a) Name the four geometrical transformations.
(1 point each)
b) For each transformation state each of the parameters.
(3 points)
a) Name the two types of diagram used to illustrate the iteration method?
(1 point)
b) In drawing the diagrams should your lines go up to up to the curve and across to the line or up to the line and across to the curve?
(3 points)
Last Minute Core 3 (AQA) Revision - Answers
What does the n in the mid-ordinate and Simpsons rules stand for?
The number of strips (or number of ordinates - 1) (1 point)
What is the value of e0?
1 (1 point)
Where does the graph of y = lnx intercept the x axis?
At x=1 (3 points)
Sketch the following graphs with appropriate axes:
sin-1x
(1 point)
cos-1x
(1 point)
tan-1x
(1 point)
What are the seven trigonometrical identities that we have used in Core 3?
(1 point each)
Solve sinx = ( ((3)/2 giving all values in the intervals:
-180 < x < 180
(60, (120 (1 point)
2( < x < 3(
20(/9, 23(/9 (3 points)
What is a good first step in the process for solving equations such as(x2+3x+2( = 3?
Usually square both sides, but in this case write two separate equations equal to +3 & -3, to avoid having to deal with x4 (1 point)
For what values of k do the equations y = (2-x2( and y = k, have 0, 2, 3 and 4 roots?
k<0, k=0 and k>2, k=2, 0H
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