Barrons AP Calculus

(Marvins-Underground-K-12) #1
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3.02

Air  is  escaping    from    a   balloon     at  a   rate    of  cubic   feet    per
minute, where t is measured in minutes. How much air, in cubic feet,
escapes during the first minute?
15π
30
45
30 ln 2

If  y   =   sin^3   (1  −   2x),    then        is
3 sin^2 (1 − 2x)
−2 cos^3 (1 − 2x)
−6 sin^2 (1 − 2x)
−6 sin^2 (1 − 2x) cos (1 − 2x)

If  y   =   x^2 e1/x    (x  ≠   0), then        is
xe1/x (x + 2)
e1/x (2x − 1)

e−x (2x −   x^2 )

A   point   moves   along   the curve   y    =  x^2 +    1   so  that    the    x-coordinate    is
increasing at the constant rate of units per second. The rate, in units per
second, at which the distance from the origin is changing when the point
has coordinates (1, 2) is equal to

=   0
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