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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. 1 2 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) 3 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. 4 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.