A bug is stuck on a fan blade as it rotates in a counter-clockwise direction The
ID: 3018662 • Letter: A
Question
A bug is stuck on a fan blade as it rotates in a counter-clockwise direction The function f gives the angle measure swept out by the bug (un radians) in terms of the mumber of seconds since he was at the 3 o'clock postion The function g gives the height of the bug (in radi) above the horizonital diameter of the fan in terms of the angle measure swept out by the bug (in radians) from the 3 o'clo position The function h gives the height of the bug (in feet) above the horizontal diameter of the fan in terms of the height of the bug (in radiui) above the horizontal diameter of the fa The function k gives the height of the bug (in feet) above the table in terms of the height of the bug (in feet) above the horizontal diameter of the farn The function m gives the angle measure swept out by the bug (in radians) in terms of the number of feet the bug has traveled along the carcular path traced out by the fan blade Match the following expressions with the appropriate quantity y-1(g-i(z)) aThe angle measure swept out by the bug (in radians) from the 3 o'clock posten b. The number of seconds elapsed since he was at the 3 o'clock position c. The number of feet the bug has traveled along the circular path traced out by the fan blade d. The height of the bug (in radi) above the horizontal diameter of the fan e. The height of the bug (in feet) above the horizontal diameter of the fan f The height of the bug (in feet) above the table g. This expression is not appropriately definedExplanation / Answer
b -f-1(g-1(x))
time elapsed in terms of radii
e-h(g(f(x)))
height in feet in terms of time
d-g(f(x))
height in radii in terms of time
g-g(f(h(x)))
f is function of times,where h(x) is distance in feet
b-f-1(m(x))
time elapsed in terms of number of feet the bug travelled along circular path traced out by the fan blade
c- m-1(x)
number of feet the bug travelled along circular path traced out by the fan blade in terms of angle swept out by bug
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