Mathematics, 02.12.2021 04:40 anahitrejo1
An empty bathtub is filled at a constant rate of 8 gallons per minute. The bathtub will hold 36
gallons of water when full. The volume, V. of water in the bathtub is a function of t, the time
in minutes.
Which is the best description for the domain of the function V?
O all values between 8 and 36
all values between 0 and 36
all values between 0 and 8
O all values 0 and greater
all values between 0 and 4.5
Answers: 3
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Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .
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Which expression is equivalent to (4 +6i)^2? ? -20 + 48i 8 + 12i 16 - 36i 20 + 48i
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An empty bathtub is filled at a constant rate of 8 gallons per minute. The bathtub will hold 36
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