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2004 AP CALCULUS AB FREE-RESPONSE oussno'ns
CALCULUS AB
9 I. SECTION 11, Part B
t Time45 minutes
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.; No calculator ls allowed for these problems.
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Consider the di'écntial equittion g: = x (y -- 2). s
{a} Gill-the axes fovided, sketch a slope field for the given diffemnal equation at the twelxe points indicated-
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(b) While the 519p: el
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I, Find the area of the region enclosed by the lines and curves.
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(a) x=r2_yz, x=0: A; I; GD-rCr) elk ((9-3 2: M l
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secant line?
(A) 0.248
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; xzr and y = 2 is rotated nd the y-axis.
,f. (A) 0.296 0.592 (C) 2.42?
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6. If f is differentiable, We can use the line tangent to f at x = a to approximate values ~
f near 3': = a. Suppose this method always underestimates the corigect value???
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