Barrons AP Calculus

(Marvins-Underground-K-12) #1
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29.

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30.

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31.

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32.

(A)

y   =   x^3 +   2

y   =   ln  (x  −   2)  (where  x   >   2)

Suppose that    f(x)    =   ln  x   for all positive    x   and g(x)    =   9   −   x^2     for all real    x.
The domain of f(g(x)) is
{x | x 3}
{x | |x| 3}
{x | |x| > 3}
{x | |x| < 3}
{x | 0 < x < 3}
Suppose (as in Question 29) that f(x) = ln x for all positive x and g(x) = 9
− x^2 for all real x. The range of y = f(g(x)) is
{y | y > 0}
{y | 0 < y ln 9}
{y | y ln 9}
{y | y < 0}
none of these

BC ONLY QUESTIONS 31–35


The curve   defined parametrically  by  x(t)    =   t^2 +   3   and y(t)    =   t^2 +   4   is  part
of a(n)
line
circle
parabola
ellipse
hyperbola

Which   equation    includes    the curve   defined parametrically  by  x(t)    =   cos^2
(t) and y(t) = 2 sin (t)?
x^2 + y^2 = 4
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