Unit Five (Part 1) Ap Calculus Take-Home Packet 5 Optimization Math Worksheet Page 5
ADVERTISEMENT
1
2
3
4
5
6
7
8Unit Five (Part 1)
AP Calculus Take-Home Packet
Optimization
10.
Archimedes is located at one of the vertices of the rectangle with the largest area that can be drawn
y
2
1
2
with its upper vertices on the line
and its lower vertices on the parabola
y
x
.
3
2
2
6
43
11.
Thales sits at a point on the curve
where the slope is 48.
f x
x
x
cos
th
12.
Leibniz sits at a point on the curve
where the 99
derivative of that
y
x
curve is 0.
2
4
22
35
13.
Kronecker sits on the line which is tangent to the curve
at the point (3, 5).
y
x
x
3
2
6
33
51
14.
Fermat is seated at the point of inflection of the curve
y
x
x
x
.
4
2
3
6
15.
Descartes is located at one of the critical points of the curve
.
y
x
x
2
10
25
16.
Cantor is located on the line tangent to the curve
at its maximum point.
y
x
x
3
2
4
2
3
7
17.
Gauss sits at the absolute maximum point on the curve
over the interval
y
x
x
[−1, 2].
18.
Viete’s seat is collinear with those of Gauss and Kronecker.
3
2
3
3
1
19.
Heron is located at the point of inflection of the curve
f x
x
x
x
.
2
3
12
16 6
20.
Pascal lies on the line tangent to the curve
at its point of inflection.
y
x
x
Page 5 of 8
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education