Unit Five (Part 1) Ap Calculus Take-Home Packet 5 Optimization Math Worksheet Page 4
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8Unit Five (Part 1)
AP Calculus Take-Home Packet
Optimization
CLUES:
1.
All students are located at integral coordinates in the xy-plane. The x-coordinates belong to the set
{−2, −1, 0, 1, 2}, and the y-coordinates belong to the set {−1, 0, 1, 2, 3}.
2
2
4
2.
Wallis is seated on the line which is normal to the curve
at its minimum
f x
x
x
point.
32
2
4
3.
Newton is seated at a point of inflection of
.
f x
x
x
2
2
2
4.
Euler sits at the point on the curve
which is nearest to Boole.
y
x
3
2
3
9
4
5.
MacLaurin is located at the relative maximum point of the function
.
f x
x
x
x
2
4
1
6.
Saccheri is seated at the absolute maximum point of the function
.
f x
x
x
4
x
3
2
1
7.
Riemann’s seat is one of the critical points of the curve
f x
x
x
..
4
k
x
2
1
8.
The function
has a point of inflection at
. Zeno sits at this point.
f x
x
x
2
2
2
1
9.
Boole is seated at the absolute maximum point on the curve
.
x
y
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