Use a graphing calculator to determine which expression completes the identity.The expression   + cot x is to be the left hand side of an equation that is an identity. Which one of the following four expressions can be used as the right hand side of the equation to complete the identity?

A. csc x
B. tan x
C. cos x
D. sec x


Answer: A

Mathematics

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Solve the problem.A pendulum swings though an angle of 40° each second. If the pendulum is 45 inches long, how far does its tip move each second? If necessary, round the answer to two decimal places.

A. 32.71 in. B. 29.57 in. C. 33.85 in. D. 31.42 in.

Mathematics

Provide an appropriate response.A pediatric speech therapist started her own practice in 2004. The function y = 3.2 x + 10.53 models the number of patients she treated each year, where x is the number of years after 2004. The model was found using data for the years between 2004 and 2012. What does the model estimate as the number of patients in 2009? Round to the nearest whole number. Is this interpolation or extrapolation?

A. 29; interpolation B. 27; interpolation C. 25; extrapolation D. 27; extrapolation

Mathematics

Find the domain of the logarithmic function.g(x) = log3(6x)

A. (0, ?) B. (6, ?) C. (3, ?) D. (-?, 0)

Mathematics

A sequence c0, c1, c2, . . . satisfies the recurrence relation ck = 6ck?1 ?9ck?2 with initial conditions c0 = 1 and c1 = 6. Find an explicit formula for the sequence.

What will be an ideal response?

Mathematics