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.
cfw_(
)|
3. Set up the iterated integrals for both order
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(x 1)2 + 2(y + 3)2 + 7, (2, -2, 12)
b. z = xexy, (2, 0,
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), Q(-1, 3, 4)
2. Identify the surface with the given vec
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 + v2
2. Find the image of the set S under the given tr
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.
R = cfw_(x, y)| 0 < x < 1, 0 < y < 1
b. (
)
R = cfw_(
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, DEMAND AND MARKET EQUILIBRIUM
This is a closed book
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(y/x), x = et, y = 1 e-t
c.
x = sin t, y = cos t, z = t