Write the equation of a curve in the form y=a sin k(x+c)+d that has the followin
ID: 2832250 • Letter: W
Question
Write the equation of a curve in the form y=a sin k(x+c)+d that has the following characteristics:
=an amplitude of 5, a period of 720 degrees, a phase shift of 45 degrees to the right and range -3_<y_<7
2)Prove:
tantheta-1=sin^2theta-cos^2theta/sinthetacostheta+cos^2theta
3)Factor and solve: 2sin^2x+sinx=0 0_<x_<2pi (Round to TWO decimal places)
4)The height of the pedal of a bicycle varies as the bike moves. The height in cm of the pedal above the ground over time, h, is described by the equation h=15 sin (4pi)t+23. Time has been measured in seconds.
A)What is the pedal's maximum height above the ground?
B)How long does it take for the pedal to complete one revolution?
C)When is the pedal at a height of 8cm,?
5)The population of an information technology village is increasing by 8% per year. In 2004, there were 4500 people living in the village.
A)ESTIMATE the population in 2010.
B)The half-life of Radium is 1620 years.
i)If a laboratory initaillay had 5g of radium, DETERMINE how much they would have in 200 years?
ii)How many years would it take until the laboratory had only 4 g of radium?
Explanation / Answer
The wave equation is typically
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