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Unformatted text preview: MthSc 207 Sections 6.1 – 6.5 Test 1 – Version A  key 1 General Directions: • Show work where possible. Answers without supporting work (where work is appropriate) may receive little credit. • Do not round intermediate calculations. • Answers in context ALWAYS require units. • Round your answers to 3 decimal places UNLESS the answer needs to be rounded differently to make sense in the context of the problem OR the directions specify another type rounding OR the complete answer has less than 3 decimal places. • When you are asked to write a model, include all components of a model: an equation, a description of the input and units, a description of the output and units, and the input interval when known. • When asked to write a sentence of practical interpretation, answer the questions: when?, what?, how? and how much? using ordinary, conversational language. Do not use math words, terms, or unnecessary phrases. • Always use a ruler when estimating values off of a graph. Statement of Academic Integrity: I have not and will not give or receive improper aid on this test. Signature: _________________________________________________________________ MthSc 207 Sections 6.1 – 6.5 Test 1 – Version A  key 2 The first part of this test consists of multiple choice questions. Each question has one correct answer. Using a #2 pencil, bubble in the letter of the response that best answers each question on your scantron. For your own record, circle your responses, and note that on this portion, only the scantron answers will be graded. This section will account for 49% of the test grade. 1. Which of the following is equal to 4 2 ( ) x t d e t dt dx + ∫ ? (4 pts) a. 4 x e x C + + b. 4 x e x + c. 4 t e t dt + d. 5 5 t t e C + + 2. Which of the following statements is incorrect ? (3 pts) a. 1 2 1 1 x dx = ∫ b. 3 2 3 3 3 3 1 1 2 x dx x dx x dx = + ∫ ∫ ∫ . c. 4 4 5 5 2 2 3 3 4 4 dx x dx x = ∫ ∫ d. 2 2 5 5 1 1 3 3 x dx x dx = ∫ ∫ 3. The rate of change of the mouse population in the subways of a certain city can be modeled by the function =207.87(1.04 ) x p'(x) mice per month at the end of the x th month of the year ( x = 1 at the end of January, x = 2 at the end of February, etc.). [Check: =216.1848 p'(1) ] Find the change in the number of mice in the subways from the end of March until the end of June. (4 pts) a. 497 mice b. 29 mice c. 744 mice d. 29 mice per month MthSc 207 Sections 6.1 – 6.5 Test 1 – Version A  key 3 Consider the graph of f(x) and g(x) shown below. 4. Which of the following expression represents the total area trapped between f(x) and g(x) ? (3 pts) a. [ ] [ ] 25 10 ( ) ( ) ( ) ( ) c c g x f x dx f x g x dx + + + ∫ ∫ b....
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 Fall '07
 Newman
 Derivative, pts, Convex function

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