Solve the problem.A lens can be used to create an image of an object on the opposite side of the lens, such as the image created on a movie screen. Every lens has a measurement called its focal length, f. The distance s1 of the object to the lens is related to the distance s2 of the lens to the image by the function s1 = .For a lens with f = 0.3 m, what are the asymptotes of this function?

What will be an ideal response?


vertical asymptote: s2 = 0.3; horizontal asymptote: s1 = 0.3

Mathematics

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Solve.(x - 7)(x + 3) ? 0

A. (-?, -3] ? [7, ?) B. (7, ?) C. (-?, -7] ? [3, ?) D. (7, -3)

Mathematics

Determine the indefinite integral., x < ln 2

A. -  csch-1  + C
B.  tanh-1  + C
C. sinh-1  + C
D. -  sech-1  + C

Mathematics

Use the properties of logarithms to rewrite the logarithm if possible. Assume that all variables represent positive real numbers.log3  

A.  log3 5 - 2 log3 y - 2 log3 x
B. 2 log3 5 - 2 log3 y - log3 2
C.  log3 5 - 2 log3 y - log3 x
D. log3 5 - log3 y - log3 x

Mathematics

Find the derivative of the function. ? 

A.
B.
C.
D.
E.

Mathematics