03_Midterm2-Sample

# 03_Midterm2-Sample - 3 The cost function in thousands of...

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University of California, Riverside Department of Mathematics Midterm 2 Mathematics 9A - First Year of Calculus Sample 3 Instructions: This exam has a total of 100 points. You have 50 minutes. You must show all your work to receive full credit You may use any result done in class. The points attached to each problem are indicated beside the problem. You are not allowed to use books, notes, or calculators. Answers should be written as p 2 as opposed to 1 : 4142135 ::: . 1. Find f 0 ( x ) , if (a) (6 points) f ( x ) = q x 1 x +1 (b) (7 points f ( x ) = x sin 1 x ± (c) (7 points) f ( x ) = (2 x + 1) p 2 cos x 1 2. (20 points) Find an equation of the tangent line to the curve ( x 2 + y 2 ) 2 = ( x y ) 2 at the point (1 ; 0) .

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Unformatted text preview: 3. The cost function, in thousands of dollars, of producing x items of a commodity is C ( x ) = x 3 & 6 x 2 + 15 x: (a) (10 points) Find the marginal cost function. (b) (10 points) Find C (100) and explain its meaning. What does it predict? 1 4. (20 points) A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 12 ft from the house, the base is moving at the rate of 5 ft/sec. How fast is the top of the ladder sliding down the wall then? 5. (20 points) Use a linear approximation to estimate the given number. (8 : 06) 2 = 3 2...
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## This note was uploaded on 01/11/2010 for the course MAT 9a taught by Professor Nouh during the Spring '09 term at UC Riverside.

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03_Midterm2-Sample - 3 The cost function in thousands of...

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The text appears to be a sample midterm exam for a first-year calculus course, containing several mathematical questions and no provided answers.
multiple_questions
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
03_Midterm2-Sample

# 03_Midterm2-Sample - 3 The cost function in thousands of...

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University of California, Riverside Department of Mathematics Midterm 2 Mathematics 9A - First Year of Calculus Sample 3 Instructions: This exam has a total of 100 points. You have 50 minutes. You must show all your work to receive full credit You may use any result done in class. The points attached to each problem are indicated beside the problem. You are not allowed to use books, notes, or calculators. Answers should be written as p 2 as opposed to 1 : 4142135 ::: . 1. Find f 0 ( x ) , if (a) (6 points) f ( x ) = q x 1 x +1 (b) (7 points f ( x ) = x sin 1 x ± (c) (7 points) f ( x ) = (2 x + 1) p 2 cos x 1 2. (20 points) Find an equation of the tangent line to the curve ( x 2 + y 2 ) 2 = ( x y ) 2 at the point (1 ; 0) .

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Unformatted text preview: 3. The cost function, in thousands of dollars, of producing x items of a commodity is C ( x ) = x 3 & 6 x 2 + 15 x: (a) (10 points) Find the marginal cost function. (b) (10 points) Find C (100) and explain its meaning. What does it predict? 1 4. (20 points) A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 12 ft from the house, the base is moving at the rate of 5 ft/sec. How fast is the top of the ladder sliding down the wall then? 5. (20 points) Use a linear approximation to estimate the given number. (8 : 06) 2 = 3 2...
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## This note was uploaded on 01/11/2010 for the course MAT 9a taught by Professor Nouh during the Spring '09 term at UC Riverside.

### Page1 / 2

03_Midterm2-Sample - 3 The cost function in thousands of...

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The text appears to be a sample midterm exam for a first-year calculus course, containing several mathematical questions and no provided answers.

TYPE: MULTIPLE_QUESTIONS