Typist Scope Examples
This document provides limited examples of the scope of work you will be expected to complete.
There are two types of examples: Examples of the question you will be assigned (Example Question) and examples of how you are expected to convert them (Example Conversion).
More detailed instructions and examples will be provided once your application is approved.
Example Question 1
Example Conversion 1
Question 11 [E024MET12-S1-16-CA] (7 marks)
The graph below shows the function f(x)=3−e2x−1 .
An estimate is required for the area under the curve between x=0 and x=1 , using the average of inscribed rectangles (shown above) and circumscribed rectangles (not shown).
a) Complete the table below, rounding values to two decimal places.
x 0 0.25 0.5 0.75 1
f (x) 2.00
(2)
b) Use the right-rectangles shown to calculate an under-estimate for the area. (2) c) Use four left-rectangles to calculate an over-estimate for the area. (2) d) Use your over- and under- estimates to calculate an estimate for the area under
the curve between x=0∧x=1 .
(1)
Example Question 2
Example Conversion 2
Question 5 [T023MET12] CA (8 marks)
An isosceles triangle has a perimeter of 80 cm. If the two equal sides are labeled x , the third side y , and the perpendicular height h :
(a) If it is known that y=80−2x , show that h=
√
80x−1600 . (3)(b) Using Calculus, determine the values of x and y if the area of the triangle is maximized.
(5)
Example Question 3
Example Conversion 3
Question 5 [012MET11] (x Marks)
Assume that angles that look like right angles are right angles.
(a)
(i) Find an expression for the area A in terms of x and y. (x) (ii) Find an expression for the perimeter P in terms of x and y. (x) (b)
(i) If P=64cm , find A in terms of x (x)
(ii) Find the allowable values for x. (x)
(iii) Sketch the graph of A against x for these values. (x)
(iv) What is the maximum area? (x)
