7dot7 - 3. How many rectangles ( n ) should we take in...

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Calculus II: In Class Examples for Section 7.7 1. Use left handed endpoints and the trapezoid rule with 6 = n rectangles to solve the following problem: Snow is falling over a 3 hour period with the following rate data taken at ½ hour intervals. Approximate the total amount of snow that fell: t 0 0.5 1 1.5 2 2.5 3 r (in/hr) 0.7 1.2 2.3 1.7 1.1 0.5 0.2 2. Approximate ( 29 2 0 2 sin dt t using the Trapezoid Rule, the Midpoint Rule and the Simpson’s Rule and 4 rectangles.
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Unformatted text preview: 3. How many rectangles ( n ) should we take in order to guarantee that the Simpson’s Rule approximation for ∫ 2 1 1 dx x is accurate to within 0.0001? Hint: 5 4 24 ) ( x x f = 4. Same question as #3, except for Trapezoid Rule. Hint: 3 2 ) ( x x f = ′ ′ 5. Same question as #3, except for Midpoint Rule. Hint: 3 2 ) ( x x f = ′ ′...
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This note was uploaded on 04/12/2011 for the course CALC 215 taught by Professor Williamson during the Spring '10 term at Grand Valley State.

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