Name _
MAT 2290
Homework Section 15.3
*Support answers with work in order to receive full credit.*
1. Evaluate the iterated integral.
)
a. (
b.
c.
2. Evaluate the double integral.
cfw_(
)|
a.
b.
c
Name _
MAT 2290
Homework Section 14.4
*Support answers by showing work in order to receive full credit.*
1. Find an equation of the tangent plane to the given surface at the specified
point.
a. z = 3(
Name _
MAT 2290
Homework Section 16.6
*Support answers by showing work in order to receive full credit.*
1. Determine whether the points P and Q lie on the given surface.
, = + , ! , + ! P(3, -1, 5),
Name _
MAT 2290
Homework 15.10
*Support answers by showing work in order to receive full credit.*
1. Find the Jacobian of the transformation.
a. x = e s + t, y = e s t
b. x = v + w2, y = w + u2, z = u
Name _
MAT 2290
Homework Section 15.2
*Support answers by showing work in order to receive full credit.*
1. Calculate the iterated integral.
)
a. (
b.
c.
d.
e.
2. Calculate the double integral.
a.
NAME: _
LAST NAME / FIRST NAME
ECONOMICS H200
PRINCIPLE OF MICROECONOMICS
Hajime Miyazaki, Professor
THE OHIO STATE UNIVERSITY
Answers to
MID-TERM EXAMINATION II
3:55PM-5:15PM, October 31, 2013
SUPPLY
Name _
MAT 2290
Homework Section 14.5
*Support answers by showing work in order to receive full credit.*
1. Use the Chain Rule to find dz/dt or dw/dt.
a. z = cos(x + 4y), x = 5t4, y = 1/t
b. z = tan-1