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In this task you are required to make use of trigonometric functions, research and use the Monte Carlo method of integration to determine areas under curves and perform calculations on your results.
Note: The scale on the horizontal axis 1radian = 1cm.
Your father has decided to give your mother a belated Valentines gift of a gold and pearl pendant and asked you to design one for her. Your father has the following instructions for the jeweller:
1. The pendant must be between 3 and 4 cm (inclusive) in length and 3 cm wide.
2. The gold should have a thickness of 4 mm.
3. The pearl must have a diameter of 1 cm.
You have experimented with various functions on your calculator and have decided on the following design:
Your father is concerned about the cost of the gold in the pendant and has asked you to estimate the area of gold in the pendant. Using technology accurately graph the functions that match the designs and label the graphs.
tan 2x = 1
1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc
27-81/3
The area of the base of a prism can be expressed as x2 + 4x + 1 and the height of the prism can be expressed as x - 3. What is the volume of this prism in terms of x? Because t
Lindy has 48 chocolate chip cookies and 64 vanilla wafers. How many bags can lindy fill if she puts the chocolate chip cookies and the vanilla wafers in the same bags? She plans
Two circles touching internally at O. OXY, OAB straight lines, the latter passing through the centres. Prove that OX : OY = OA : OB. Given : Two circles touching internally a
1. A rectangular piece of cardboard measuring 26 inches by 42 inches is to be made into a box with an open top by cutting equal size squares from each comer and folding up the side
HOW MANY ZERO ARE THERE AT THE END OF 200
A vertical post stands on a horizontal plane. The angle of elevation of the top is 60 o and that of a point x metre be the height of the post, then prove that x = 2 h/3 .
A story based on profit and loss
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