Solve the problem.The average daily temperature T of a city in the United States is approximated by T = 55 - 23 cos 
(t - 30)where t is in days, 1 ? t ? 365, and t = 1 corresponds to January 1. For what range of values of t is the average daily temperature above 70°F? Use a calculator and round answers to the nearest whole number.
Fill in the blank(s) with the appropriate word(s).
163 ? t ? 262
Mathematics
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Use integration by parts to establish a reduction formula for the integral.
, n ? 1
A. 
= secn-2 x tan x + (n - 2) 
B. 
= secn-2 x tan x - (n - 2) 
C. 
= 
secn-2 x tan x + 
D. 
= 
secn x tan x - 
Mathematics
Write the rational expression in simplest form.
?
?
A. 
B. ?
C. ?
D. ?
E. ?
Mathematics
The total number I of items that a factory can produce in an hour is proportional to the number N of employees. ? A: Using x to denote the constant of proportionality, write a formula that expresses the proportionality relationship. ? B: Explain in practical terms what the constant of proportionality x means in this setting.
What will be an ideal response?
Mathematics
Evaluate the integral.
A. 
ln 
B. ln 
C. 
ln 
D. e6/5
Mathematics