An object with mass m is dropped from rest and we assume that the air resistance is proportional to the speed of the object. If s (t) is the distance dropped after t seconds, then the speed is v = s(t) and the acceleration is a = v'(t). If g is the acceleration due to gravity, then the downward force on the object is mg - cv, where c is a positive constant, and Newton's Second Law gives

Find the limiting velocity.


v = mg/c

Mathematics

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Multiply the complex numbers and simplify powers of i.(6 + ) (3 + )

A. (18 -  )+ (6 + 3 )i
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Provide an appropriate response.What values of a and b maximize the value of dx?

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the problem.The manufacturer's cost, C, in dollars, can be found using the formula  where n is he number of parts produced. Find the cost when 729 parts are produced.

A. $3950 B. $56 C. $6200 D. $15,200

Mathematics