MATH 1100: QUANTITATIVE ANALYSIS
TEST #4 (VERSION A)
Name:
This test has 5 pages and 5 problems.
No calculators are allowed. You are permitted only a pencil or pen. Work out
everything as far as you can before making decimal approximations.
1. Find the general solution to
dy
4x
=
.
dx
y−3
Date: October 30, 2001.
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MATH 1100: QUANTITATIVE ANALYSIS
TEST #4 (VERSION A)
2. If consumption is $5 billion when disposable income is 0, and the marginal
propensity to consume is
dC
1
=1+ √
y
dy
find the national consumption function.
MATH 1100: QUANTITATIVE ANALYSIS
TEST #4 (VERSION A)
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3. Suppose that world population P in billions never exceeds 100 billion and
has rate of grow
dP
= K(100 − P ).
dt
Suppose that at time t = 0 there are 1 billion people, and the rate of growth
is
dP
= 90.
dt
Find P as a function of t.
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MATH 1100: QUANTITATIVE ANALYSIS
TEST #4 (VERSION A)
4. Calculate the integral
Z
100
x2 + 1
x dx
MATH 1100: QUANTITATIVE ANALYSIS
TEST #4 (VERSION A)
5
5. If the marginal revenue for a month is M R = x2 + 1, find the total revenue
from sales of 10 units.