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

Mathematics

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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.  = 

Mathematics

Find the exact value of the expression if ? = 30°. Do not use a calculator.g(?) = cos ?Find g(2?).

A.
B.
C. 1
D.

Mathematics

Find the domain of the function.f(x) = x - 

A. (-?, 5) ? (5, ?) B. (-?, ?) C. (-?, 8) ? (8, ?) D. (-?, 5) ? (5, 8) ? (8, ?)

Mathematics

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 < ?

Mathematics