sample-second-midterm-Fall2010

sample-second-midterm-Fall2010 - may use the backs of these...

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The following is a sample of the second midterm for math 16A. The actually midterm will be very similar to this sample. In particular: The actual midterm will consist of 5 problems each worth 20 points. Problem 1 will be an optimization problem involving a linear demand function. Problem 2 will be about the chain rule. Problem 3 will be about implicit differentiation. Problem 4 will be about solving simple equations involving e and ln Problem 5 will be about logarithmic differentiation. The actual exam will be formatted the same as the sample exam. In particular, you will be asked to write your answers on the exam itself. At the start of the exam, you will be asked to write: your name the name of your GSI the number of your section (or the time and room of your section) Please be sure to do all three of these. Thank you. CALCULATORS ARE NOT ALLOWED DURING THE EXAM
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Math 16A; Sample Second Midterm (do not write here) Name: 1 2 GSI: 3 Section number: 4 or time and room: 5 Please show all your work and exhibit your final answers clearly. You
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Unformatted text preview: may use the backs of these pages for your extra work. You have 50 minutes. Problem 1 (20 points) A company makes a product. It costs 10 dollars to make one item. If it charges 30 dollars per item it will sell exactly 1 , 000 items; but if it charges 20 per item it will sell exactly 2 , 000 items. Assuming a linear demand function, how many items should the company make to maximize its prot. Problem 2 (20 points) f ( x ) is a function whose derivative is x 2 + 1. What is the derivative of f (3 x + 2). Problem 3 (20 points) y and z are functions of x with the property z 3 y 5 + z 5 y 7 = 2. Also, when x = 3 we have y = 1 and z = 1. Also, when x = 3, we have dy dx = 5. Find dz dx when x = 3. Problem 4 (20 points) Solve for x . (your answers can involve e and/or ln) (a) (10 points) e (3 x +2) = 5 (b) (10 points) ln (3 x 2 ) = 5 Problem 5 (20 points) Find the derivative of ( x 2 + 1) x...
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This note was uploaded on 01/30/2012 for the course CHEMISTRY 1a taught by Professor Nitsche during the Fall '11 term at Southwestern.

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sample-second-midterm-Fall2010 - may use the backs of these...

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