Solve the problem. Round your answer to one decimal place.The number of hours of darkness in a coastal town is given by the function
, where n is the month and
corresponds to January. Approximate the number of hours of darkness in April.
A. 17.5 hours
B. 18.3 hours
C. 22.9 hours
D. 15.2 hours
Answer: D
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Consider the differential equation. A detailed direction field is not needed. Find the solutions that are constant, for all (the equilibrium solutions). In what regions are solutions increasing? Decreasing?y'(t) = y(y + 2)(6 - y)
A. y = -2, y = 6; increasing for -2 < y < 6; decreasing for y < -2, y > 6 B. y = 0, y = -2, y = 6; increasing for -2 < y < 0; decreasing for y < -2, y > 0 C. y = 0, y = -2, y = 6; increasing for y < -2, 0 < y < 6; decreasing for -2 < y < 0, y > 6 D. y = -2, y = 6; increasing for y < -2, 0 < y < 6; decreasing for -2 < y < 0, y > 6
Solve the differential equation.y ' + y tan x = cos x, -?/2 < x < ?/2
A. y = x sin x + C sin x, -?/2 < x < ?/2 B. y = x cos x + C cos x, -?/2 < x < ?/2 C. y = x sin x + C cos x, -?/2 < x < ?/2 D. y = x cos x + C sin x, -?/2 < x < ?/2
Decide if the set is finite.{whole numbers divisible by 41 and 55}
A. Finite B. Infinite
Solve the equation or inequality.|5x - 4| + 5 < -2
A.
B. ?
C.
D.