MATH 2413 weekly review week of 10/17
Topics:
1.
Linear Approximation and Diﬀerentials
2.
Maximum and Minimum Values
3.
Mean Value Theorem
1.
Use diﬀerentials to approximate the quantity
√
101
2.
Use diﬀerentials to approximate the quantity
3
√
124
2
3.
Use diﬀerentials to approximate the quantity 1
.
1
3
ln(1
.
1)
4.
The radius of a sphere is measured to be 10 in. with maximum possible
error of 1/2 in. Use diﬀerentials to approximate the maximum possible error in
measuring the volume and surface area of the sphere.
5.
The included angle of an isosceles triangle is measured to be 30
◦
with possible
error of 1
◦
. If the sides are correctly measured to be 10 in. what is the maximum
possible error in measuring the area of the triangle.
6.
A person is standing 100 feet from a tall building. If the person measures the
angle of elevation to the top of the building to be 60
◦
with maximum possible
error of 1
◦
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '11
 .
 Math, Approximation, Linear Approximation, Mean Value Theorem, absolute max

Click to edit the document details