Provide an appropriate response.Decide if the statement is true or false. If false, explain.The points (-1, -1) and (1, 1) lie on the graph of f(x) = 
. Therefore, the Mean Value Theorem says that there exists some value x = c on (-1, 1) for which f'(x) = 
= 1.
What will be an ideal response?
False. The function has a non-removable discontinuity at x = 0. The mean value theorem does not apply.
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Find the derivative.y = x14
A. 13x13 B. 14x14 C. 13x14 D. 14x13
Use dimensional analysis to solve the problem.Jarod calculated the speed of a train to be 29 ft/sec. Calculate the speed in miles per hour. Round answers to the nearest whole number.
A. 16 mi/hr B. 23 mi/hr C. 20 mi/hr D. 17 mi/hr
The U.S. population is approximated by the function 
, where P(t) is measured in millions of people and t is measured in 30-year intervals, with t = 0 corresponding to 1930. What is the expected population of the United States in 2020 (t = 3)? Round your answer to one decimal place.
?
__________ million
Fill in the blank(s) with the appropriate word(s).
Solve the triangle.a = 60, b = 11, ? = 105°
A. c = 66.64, ? = 67.4°, ? = 7.6° B. c = 69.54, ? = 63.4°, ? = 11.6° C. c = 63.74, ? = 65.4°, ? = 9.6° D. no triangle