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Section 3.1-problems-1

Section 3.1-problems-1 - 7 2 √ 7 a 5 to(aqt73 – Section...

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to (aqt73) – Section 3.1 – isaacson – (55826) 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points Consider the slope oF the given curve at the fve points shown. A C E B D List the fve slopes in decreasing order. 1. C, A, E, D, B 2. D, B, A, E, C 3. B, D, E, A, C 4. D, A, C, E, B 5. C, B, A, D, E 6. B, D, C, A, E 002 10.0 points ±ind an equation For the tangent line at the point P (1 ,f (1)) on the graph oF f ( x ) = 2 x 2 + 3 x + 1 . 1. y - 7 x - 3 = 0 2. y - 7 x + 1 = 0 3. y + 7 x - 1 = 0 4. y + 7 x + 1 = 0 5. y + 7 x + 3 = 0 6. y - 7 x + 3 = 0 003 10.0 points The displacement (in Feet) oF a particle moving in a straight line is given by the equa- tion oF motion s = 3 t 3 + 2 t + 6 , where t is measured in seconds. ±ind the velocity, v (1), oF the particle aFter 1 second. 1. v (1) = 8 Ft/sec 2. v (1) = 11 Ft/sec 3. v (1) = 9 Ft/sec 4. v (1) = 12 Ft/sec 5. v (1) = 10 Ft/sec 004 10.0 points ±ind the value oF f ( a ) when f ( x ) = 7 x + 5 . 1. f ( a ) = 7 7 a + 5 2. f ( a ) = - 7 7 a + 5 3. f ( a ) = - 7 7 a + 5 4. f ( a ) = - 7 2 7 a + 5 5. f ( a ) = 7 7 a + 5 2 6. f ( a ) =

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Unformatted text preview: 7 2 √ 7 a + 5 to (aqt73) – Section 3.1 – isaacson – (55826) 2 005 10.0 points For which of the following functions f and corresponding numbers a is the limit lim h → (1 + h ) 8-1 h the value of f ′ ( a )? 1. f ( x ) = x 8 , a = 1 2. f ( x ) = ( x + 1) 8 , a = 1 3. f ( x ) = x 8 , a = 8 4. f ( x ) = x 8 , a = 0 5. f ( x ) = ( x-1) 8 , a = 1 6. f ( x ) = ( x + 1) 8 , a = 8 006 10.0 points What is the signi±cance of the expression f (1 + h )-f (1) h in the following graph of f when h = 7 2 ? 1 2 3 4 5 1 2 3 4 5 P Q R S T U 1. length of line segment PU 2. length of line segment PR 3. equation of line through P and R 4. equation of line through P and U 5. slope of line through P and T 6. slope of tangent line at P 7. slope of line through P and R 8. equation of line through P and T 9. slope of line through P and U 10. length of line segment PT...
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Section 3.1-problems-1 - 7 2 √ 7 a 5 to(aqt73 – Section...

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