Solve the problem.Suppose that the salinity S of ocean water at a given depth d is modeled by the equation
where S is measured in grams salt per kilogram water and d is measured in meters. What is the salinity when the depth is 688 m? Round your answer to the nearest hundredth.
A. -29.93 g salt/kg water
B. 37.87 g salt/kg water
C. 94.82 g salt/kg water
D. 97.62 g salt/kg water
Answer: B
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Solve the problem.A heat engine is a device that converts thermal energy into other forms. The thermal efficiency, e, of a heat engine is defined by where Qh is the heat absorbed in one cycle and Qc, the heat released into a reservoir in one cycle, is a constant. Find
.
A. = -
B. = Qh - Qc
C. =
D. =
Find the exact value of the expression if ? = 30°. Do not use a calculator.g(?) = cos ?Find g(2?).
A.
B.
C. 1
D.
Find the domain of the function.f(x) = x -
A. (-?, 5) ? (5, ?) B. (-?, ?) C. (-?, 8) ? (8, ?) D. (-?, 5) ? (5, 8) ? (8, ?)
Find the Taylor series at 0. State the interval of convergence for the series.f"(x) for f(x) = sin xThe Taylor series at 0 for the sine and cosine functions are given below.sin x = x - x3 +
x5 - ... +
x2n + 1 + ...; -? < x < ?cos x = 1 -
x2 +
x4 - ...
+ x2n + ...; -? < x < ?
A. -x + x3 -
x5 + ... +
x2n + 1 + ...; -? < x < ?
B. 1 - x2 +
x4 - ... +
x2n + ...; -? < x < ?
C. x - x3 +
x5 - ... +
x2n + 1 + ...; -? < x < ?
D. -1 + x2 -
x4 + ... +
x2n + ...; -? < x < ?