Find an equation in the form y = Acos x or y = Asin x that represents the given graph.

A. y = -2sin x
B. y = -2cos x
C. y = 2sin x
D. y = 2cos x


Answer: B

Mathematics

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Solve the differential equation.dy + 8y dx = e-8x  dx

A. y = e-8x (x + c) B. y = e8x (x + c) C. y = x e-8x  D. y = 8x + ce-8x

Mathematics

Determine the domain and range of the function and graph it.f(x) =  + 3

A. domain: [3, ?), range: [0, ?)

B. domain: [-3, ?), range: [0, ?)

C. domain: [0, ?), range: [3, ?)

D. domain: [0, ?), range: [3, ?)

Mathematics

Solve the problem.Suppose economists use as a model of a country's economy the equation  C = 0.6716D + 5.9845where C represents the consumption of products in billions of dollars and D represents disposable income in billions of dollars. Solve the equation for D and use the result to determine the disposable income D if the consumption C is $8.42 billion. Round your answer to the nearest tenth of a billion.

A. $3.6 billion B. $3.5 billion C. $11.6 billion D. $6.6 billion

Mathematics

Give the equation of the horizontal asymptote, if any, of the function.f(x) = 

A. y = -7, y = 7 B. y = 0 C. y = 1 D. none

Mathematics