Barrons AP Calculus

(Marvins-Underground-K-12) #1




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The minimum value   of  the slope   of  the curve   y   =   x^5 + x^3   −   2x  is
0
2
6
−2
−6

The equation    of  the tangent to  the hyperbola   x^2     −   y^2     =   12  at  the point   (4,
2) on the curve is
x − 2y + 6 = 0
y = 2x
y = 2x − 6

x +     2 y =   6

The tangent to  the curve   y^2     −   xy +    9   =   0   is  vertical    when
y = 0
y = ±
y =
y = ±3
none of these
The best approximation, in cubic inches, to the increase in volume of a
sphere when the radius is increased from 3 to 3.1 in. is

0.04π
1.2π
3.6π
36 π

When    x   =   3,  the equation    2x^2    −   y^3     =   10  has the solution    y   =   2.  When    x   =
3.04, y
1.6
1.96
2.04
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