Find the inverse of the function and state its domain and range .{(9, 1), (7, 2), (5, 3), (3, 4)}
A. ; D = { 9, 7, 5, 3}, R =
B. {(2, 1), (4, 5), (9, 5), (2, 3)}; D = {2, 4, 9}; R = {1, 5, 3}
C. {(1, 9), (2, 7), (3, 5), (4, 3)}; D = {1, 2, 3, 4 }; R = {9, 7, 5, 3}
D. {(2, 1), (1, 5), (9, 7), (2, 3)}; D = {(2, 1, 9}; R = {(1, 5 7, 3}
Answer: C
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Identify equilibrium values and determine which are stable and which are unstable.y' = (y - 2)(y - 4)(y - 5)
A. y = 5 is a stable equilibrium value and y = 4 and y = 2 are unstable equilibria. B. y = 4 is a stable equilibrium value and y = 2 and y = 5 are unstable equilibria. C. y = 5, y = 2 and y = 5 are unstable equilibria. D. y = 2 is a stable equilibrium value and y = 4 and y = 5 are unstable equilibria.
Planets travel in elliptical orbits with the sun at one focus. Assume that the focus is at the pole, the major axis lies on the polar axis, and the length of the major axis is 2a (see figure). The polar equation of the orbit of a planet is given below, where e is the eccentricity. If miles and
find the perihelion distance (the minimum distance from the sun to the planet). Round your answer to the nearest mile.
A) 86,596,392 miles
B) 91,219,608 miles
C) 8,659,639 miles
D) 9,121,961 miles
E) 865,963,920 miles
Solve the problem.Use the formula L = 10 ? log , where the loudness of a sound in decibels is determined by I, the number of watts per square meter produced by the soundwave, and
A certain noise produces 6.35 × 10-4 W/m2 of power. What is the decibel level of this noise?
A. 203 dB B. 78 dB C. 88 dB D. 9 dB
Solve. Write a mixed numeral for the answer.A road acceleration test measures the time in seconds required to go from 0 mph to 60 mph. The results for five cars were as follows: 6 sec, 7
sec, 8
sec, 6
sec, and 7
sec. What was the average time?
A. 7 sec
B. 7 sec
C. 7 sec
D. 7 sec