1)Fluroide-20 is a radio active substance that decays over time. At time 0, the
ID: 2833563 • Letter: 1
Question
1)Fluroide-20 is a radio active substance that decays over time. At time 0, the mass of a sample of the substance is 20 g. The mass decreases to 10 g after 11 s, to 5 g after 22 s, and to 2.5 g after 33s. COMPARE the average rate of change over the 33-s interval with the avergade rate of change over consecutive 11-s intervals.
2)Let f(x)=2x-3 and g(x)=2x^2+1, determine an expression for each case and state the domain for each new function.
3)Simplify cos(3pi/4+x)+sin(3pi/4-x)
4)Prove: sec^2theta+sin^2theta-2=tan^2theta-cos^2theta
Explanation / Answer
4.) taking LHS
sec^2 theta + sin^2 theta -2
= 1+ tan^2 theta + 1 - cos^2 theta - 2
= tan^2theta - cos^2 theta.
Hence proved
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