Provide an appropriate response.Verify the identity using the definitions of hyperbolic functions. coth (-x) = -coth x
What will be an ideal response?
coth (-x) = 
= 
= 
= -coth x
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Solve the equations containing absolute value. 
= -6
A. ? B. {0, 12} C. {0} D. {0, -12}
Some comets, such as Hailey's Comet, are a permanent part of the solar system, traveling in elliptical orbits around the sun. Others pass through the solar system only once, following a hyperbolic path with the sun at a focus. The figure shows the path of such a comet. Find an equation for the path, assuming that the closest the comet comes to the sun is 
mi, and that the path the comet was taking before it neared the solar system is at a right angle to the path it continues on after leaving the solar
system.
?
?
A. 
B. 
C. 
D. 
E. 
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.logb 
A. logbx + logby4 - logbz2 B. logbx + 4logby - 2logbz C. logbx + 4logby + 2logbz D. logbx + logby4 + logbz2
Solve the problem.Given that f(x) = 4x2 - 5x; find all values of a such that f(a) = 6.
A. a = - 
or a = 6
B. a = 
or a = -2
C. a = - 
or a = 2
D. a = - 
or a = 4