Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 12, Problem 8SP
To determine
Tosketch the region of
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7. Perform Romberg integration of (sin(4x) + cos(3r))dx to determine the yellow boxes
in the given table. Use ho = 0.5, r = 2, and units in radians. You can use Excel to
complete.
TO, O(h^2)
T1, O(h^4)
T2, O(h^6)
T3, O(h^8)
h
0.5
0.25
0.125
0.0625
2. Evaluate the definte integral
S
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Chapter 12 Solutions
Calculus
Ch. 12.1 - Prob. 1PSCh. 12.1 - Prob. 2PSCh. 12.1 - Prob. 3PSCh. 12.1 - Prob. 4PSCh. 12.1 - Prob. 5PSCh. 12.1 - Prob. 6PSCh. 12.1 - Prob. 7PSCh. 12.1 - Prob. 8PSCh. 12.1 - Prob. 9PSCh. 12.1 - Prob. 10PS
Ch. 12.1 - Prob. 11PSCh. 12.1 - Prob. 12PSCh. 12.1 - Prob. 13PSCh. 12.1 - Prob. 14PSCh. 12.1 - Prob. 15PSCh. 12.1 - Prob. 16PSCh. 12.1 - Prob. 17PSCh. 12.1 - Prob. 18PSCh. 12.1 - Prob. 19PSCh. 12.1 - Prob. 20PSCh. 12.1 - Prob. 21PSCh. 12.1 - Prob. 22PSCh. 12.1 - Prob. 23PSCh. 12.1 - Prob. 24PSCh. 12.1 - Prob. 25PSCh. 12.1 - Prob. 26PSCh. 12.1 - Prob. 27PSCh. 12.1 - Prob. 28PSCh. 12.1 - Prob. 29PSCh. 12.1 - Prob. 30PSCh. 12.1 - Prob. 31PSCh. 12.1 - Prob. 32PSCh. 12.1 - Prob. 33PSCh. 12.1 - Prob. 34PSCh. 12.1 - Prob. 35PSCh. 12.1 - Prob. 36PSCh. 12.1 - Prob. 37PSCh. 12.1 - Prob. 38PSCh. 12.1 - Prob. 39PSCh. 12.1 - Prob. 40PSCh. 12.1 - Prob. 41PSCh. 12.1 - Prob. 42PSCh. 12.1 - Prob. 43PSCh. 12.1 - Prob. 44PSCh. 12.1 - Prob. 45PSCh. 12.1 - Prob. 46PSCh. 12.1 - Prob. 47PSCh. 12.1 - Prob. 48PSCh. 12.1 - Prob. 49PSCh. 12.1 - Prob. 50PSCh. 12.1 - Prob. 51PSCh. 12.1 - Prob. 52PSCh. 12.1 - Prob. 53PSCh. 12.1 - Prob. 54PSCh. 12.1 - Prob. 55PSCh. 12.1 - Prob. 56PSCh. 12.1 - Prob. 57PSCh. 12.1 - Prob. 58PSCh. 12.1 - Prob. 59PSCh. 12.1 - Prob. 60PSCh. 12.2 - Prob. 1PSCh. 12.2 - Prob. 2PSCh. 12.2 - Prob. 3PSCh. 12.2 - Prob. 4PSCh. 12.2 - Prob. 5PSCh. 12.2 - Prob. 6PSCh. 12.2 - Prob. 7PSCh. 12.2 - Prob. 8PSCh. 12.2 - Prob. 9PSCh. 12.2 - Prob. 10PSCh. 12.2 - Prob. 11PSCh. 12.2 - Prob. 12PSCh. 12.2 - Prob. 13PSCh. 12.2 - Prob. 14PSCh. 12.2 - Prob. 15PSCh. 12.2 - Prob. 16PSCh. 12.2 - Prob. 17PSCh. 12.2 - Prob. 18PSCh. 12.2 - Prob. 19PSCh. 12.2 - Prob. 20PSCh. 12.2 - Prob. 21PSCh. 12.2 - Prob. 22PSCh. 12.2 - Prob. 23PSCh. 12.2 - Prob. 24PSCh. 12.2 - Prob. 25PSCh. 12.2 - Prob. 26PSCh. 12.2 - Prob. 27PSCh. 12.2 - Prob. 28PSCh. 12.2 - Prob. 29PSCh. 12.2 - Prob. 30PSCh. 12.2 - Prob. 31PSCh. 12.2 - Prob. 32PSCh. 12.2 - Prob. 33PSCh. 12.2 - Prob. 34PSCh. 12.2 - Prob. 35PSCh. 12.2 - Prob. 36PSCh. 12.2 - Prob. 37PSCh. 12.2 - Prob. 38PSCh. 12.2 - Prob. 39PSCh. 12.2 - Prob. 40PSCh. 12.2 - Prob. 41PSCh. 12.2 - Prob. 42PSCh. 12.2 - Prob. 43PSCh. 12.2 - Prob. 44PSCh. 12.2 - Prob. 45PSCh. 12.2 - Prob. 46PSCh. 12.2 - Prob. 47PSCh. 12.2 - 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Prob. 37PSCh. 12.3 - Prob. 38PSCh. 12.3 - Prob. 39PSCh. 12.3 - Prob. 40PSCh. 12.3 - Prob. 41PSCh. 12.3 - Prob. 42PSCh. 12.3 - Prob. 43PSCh. 12.3 - Prob. 44PSCh. 12.3 - Prob. 45PSCh. 12.3 - Prob. 46PSCh. 12.3 - Prob. 47PSCh. 12.3 - Prob. 48PSCh. 12.3 - Prob. 49PSCh. 12.3 - Prob. 50PSCh. 12.3 - Prob. 51PSCh. 12.3 - Prob. 52PSCh. 12.3 - Prob. 53PSCh. 12.3 - Prob. 54PSCh. 12.3 - Prob. 55PSCh. 12.3 - Prob. 56PSCh. 12.3 - Prob. 57PSCh. 12.3 - Prob. 58PSCh. 12.3 - Prob. 59PSCh. 12.3 - Prob. 60PSCh. 12.4 - Prob. 1PSCh. 12.4 - Prob. 2PSCh. 12.4 - Prob. 3PSCh. 12.4 - Prob. 4PSCh. 12.4 - Prob. 5PSCh. 12.4 - Prob. 6PSCh. 12.4 - Prob. 7PSCh. 12.4 - Prob. 8PSCh. 12.4 - Prob. 9PSCh. 12.4 - Prob. 10PSCh. 12.4 - Prob. 11PSCh. 12.4 - Prob. 12PSCh. 12.4 - Prob. 13PSCh. 12.4 - Prob. 14PSCh. 12.4 - Prob. 15PSCh. 12.4 - Prob. 16PSCh. 12.4 - Prob. 17PSCh. 12.4 - Prob. 18PSCh. 12.4 - Prob. 19PSCh. 12.4 - Prob. 20PSCh. 12.4 - Prob. 21PSCh. 12.4 - Prob. 22PSCh. 12.4 - Prob. 23PSCh. 12.4 - Prob. 24PSCh. 12.4 - Prob. 25PSCh. 12.4 - 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Prob. 15PSCh. 12.5 - Prob. 16PSCh. 12.5 - Prob. 17PSCh. 12.5 - Prob. 18PSCh. 12.5 - Prob. 19PSCh. 12.5 - Prob. 20PSCh. 12.5 - Prob. 21PSCh. 12.5 - Prob. 22PSCh. 12.5 - Prob. 23PSCh. 12.5 - Prob. 24PSCh. 12.5 - Prob. 25PSCh. 12.5 - Prob. 26PSCh. 12.5 - Prob. 27PSCh. 12.5 - Prob. 28PSCh. 12.5 - Prob. 29PSCh. 12.5 - Prob. 30PSCh. 12.5 - Prob. 31PSCh. 12.5 - Prob. 32PSCh. 12.5 - Prob. 33PSCh. 12.5 - Prob. 34PSCh. 12.5 - Prob. 35PSCh. 12.5 - Prob. 36PSCh. 12.5 - Prob. 37PSCh. 12.5 - Prob. 38PSCh. 12.5 - Prob. 39PSCh. 12.5 - Prob. 40PSCh. 12.5 - Prob. 41PSCh. 12.5 - Prob. 42PSCh. 12.5 - Prob. 43PSCh. 12.5 - Prob. 44PSCh. 12.5 - Prob. 45PSCh. 12.5 - Prob. 46PSCh. 12.5 - Prob. 47PSCh. 12.5 - Prob. 48PSCh. 12.5 - Prob. 49PSCh. 12.5 - Prob. 50PSCh. 12.5 - Prob. 51PSCh. 12.5 - Prob. 52PSCh. 12.5 - Prob. 53PSCh. 12.5 - Prob. 54PSCh. 12.5 - Prob. 55PSCh. 12.5 - Prob. 56PSCh. 12.5 - Prob. 57PSCh. 12.5 - Prob. 58PSCh. 12.5 - Prob. 59PSCh. 12.5 - Prob. 60PSCh. 12.6 - Prob. 1PSCh. 12.6 - Prob. 2PSCh. 12.6 - Prob. 3PSCh. 12.6 - Prob. 4PSCh. 12.6 - Prob. 5PSCh. 12.6 - Prob. 6PSCh. 12.6 - Prob. 7PSCh. 12.6 - Prob. 8PSCh. 12.6 - Prob. 9PSCh. 12.6 - Prob. 10PSCh. 12.6 - Prob. 11PSCh. 12.6 - Prob. 12PSCh. 12.6 - Prob. 13PSCh. 12.6 - Prob. 14PSCh. 12.6 - Prob. 15PSCh. 12.6 - Prob. 16PSCh. 12.6 - Prob. 17PSCh. 12.6 - Prob. 18PSCh. 12.6 - Prob. 19PSCh. 12.6 - Prob. 20PSCh. 12.6 - Prob. 21PSCh. 12.6 - Prob. 22PSCh. 12.6 - Prob. 23PSCh. 12.6 - Prob. 24PSCh. 12.6 - Prob. 25PSCh. 12.6 - Prob. 26PSCh. 12.6 - Prob. 27PSCh. 12.6 - Prob. 28PSCh. 12.6 - Prob. 29PSCh. 12.6 - Prob. 30PSCh. 12.6 - Prob. 31PSCh. 12.6 - Prob. 32PSCh. 12.6 - Prob. 33PSCh. 12.6 - Prob. 34PSCh. 12.6 - Prob. 35PSCh. 12.6 - Prob. 36PSCh. 12.6 - Prob. 37PSCh. 12.6 - Prob. 38PSCh. 12.6 - Prob. 39PSCh. 12.6 - Prob. 40PSCh. 12.6 - Prob. 41PSCh. 12.6 - Prob. 42PSCh. 12.6 - Prob. 43PSCh. 12.6 - Prob. 44PSCh. 12.6 - Prob. 45PSCh. 12.6 - Prob. 46PSCh. 12.6 - Prob. 47PSCh. 12.6 - Prob. 48PSCh. 12.6 - Prob. 49PSCh. 12.6 - Prob. 50PSCh. 12.6 - Prob. 51PSCh. 12.6 - Prob. 52PSCh. 12.6 - Prob. 53PSCh. 12.6 - Prob. 54PSCh. 12.6 - Prob. 55PSCh. 12.6 - Prob. 56PSCh. 12.6 - Prob. 57PSCh. 12.6 - Prob. 58PSCh. 12.6 - Prob. 59PSCh. 12.6 - Prob. 60PSCh. 12.7 - Prob. 1PSCh. 12.7 - Prob. 2PSCh. 12.7 - Prob. 3PSCh. 12.7 - Prob. 4PSCh. 12.7 - Prob. 5PSCh. 12.7 - Prob. 6PSCh. 12.7 - Prob. 7PSCh. 12.7 - Prob. 8PSCh. 12.7 - Prob. 9PSCh. 12.7 - Prob. 10PSCh. 12.7 - Prob. 11PSCh. 12.7 - Prob. 12PSCh. 12.7 - Prob. 13PSCh. 12.7 - Prob. 14PSCh. 12.7 - Prob. 15PSCh. 12.7 - Prob. 16PSCh. 12.7 - Prob. 17PSCh. 12.7 - Prob. 18PSCh. 12.7 - Prob. 19PSCh. 12.7 - Prob. 20PSCh. 12.7 - Prob. 21PSCh. 12.7 - Prob. 22PSCh. 12.7 - Prob. 23PSCh. 12.7 - Prob. 24PSCh. 12.7 - Prob. 25PSCh. 12.7 - Prob. 26PSCh. 12.7 - Prob. 27PSCh. 12.7 - Prob. 28PSCh. 12.7 - Prob. 29PSCh. 12.7 - Prob. 30PSCh. 12.7 - Prob. 31PSCh. 12.7 - Prob. 32PSCh. 12.7 - Prob. 33PSCh. 12.7 - Prob. 34PSCh. 12.7 - Prob. 35PSCh. 12.7 - Prob. 36PSCh. 12.7 - Prob. 37PSCh. 12.7 - Prob. 38PSCh. 12.7 - Prob. 39PSCh. 12.7 - Prob. 40PSCh. 12.7 - Prob. 41PSCh. 12.7 - Prob. 42PSCh. 12.7 - Prob. 43PSCh. 12.7 - Prob. 44PSCh. 12.7 - Prob. 45PSCh. 12.7 - Prob. 46PSCh. 12.7 - Prob. 47PSCh. 12.7 - Prob. 48PSCh. 12.7 - Prob. 49PSCh. 12.7 - Prob. 50PSCh. 12.7 - Prob. 51PSCh. 12.7 - Prob. 52PSCh. 12.7 - Prob. 53PSCh. 12.7 - Prob. 54PSCh. 12.7 - Prob. 55PSCh. 12.7 - Prob. 56PSCh. 12.7 - Prob. 57PSCh. 12.7 - Prob. 58PSCh. 12.7 - Prob. 59PSCh. 12.7 - Prob. 60PSCh. 12.8 - Prob. 1PSCh. 12.8 - Prob. 2PSCh. 12.8 - Prob. 3PSCh. 12.8 - Prob. 4PSCh. 12.8 - Prob. 5PSCh. 12.8 - Prob. 6PSCh. 12.8 - Prob. 7PSCh. 12.8 - Prob. 8PSCh. 12.8 - Prob. 9PSCh. 12.8 - Prob. 10PSCh. 12.8 - Prob. 11PSCh. 12.8 - Prob. 12PSCh. 12.8 - Prob. 13PSCh. 12.8 - Prob. 14PSCh. 12.8 - Prob. 15PSCh. 12.8 - Prob. 16PSCh. 12.8 - Prob. 17PSCh. 12.8 - Prob. 18PSCh. 12.8 - Prob. 19PSCh. 12.8 - Prob. 20PSCh. 12.8 - Prob. 21PSCh. 12.8 - Prob. 22PSCh. 12.8 - Prob. 23PSCh. 12.8 - Prob. 24PSCh. 12.8 - Prob. 25PSCh. 12.8 - Prob. 26PSCh. 12.8 - Prob. 27PSCh. 12.8 - Prob. 28PSCh. 12.8 - Prob. 29PSCh. 12.8 - Prob. 30PSCh. 12.8 - Prob. 31PSCh. 12.8 - Prob. 32PSCh. 12.8 - Prob. 33PSCh. 12.8 - Prob. 34PSCh. 12.8 - Prob. 35PSCh. 12.8 - Prob. 36PSCh. 12.8 - Prob. 37PSCh. 12.8 - Prob. 38PSCh. 12.8 - Prob. 39PSCh. 12.8 - Prob. 40PSCh. 12.8 - Prob. 41PSCh. 12.8 - Prob. 42PSCh. 12.8 - Prob. 43PSCh. 12.8 - Prob. 44PSCh. 12.8 - Prob. 45PSCh. 12.8 - Prob. 46PSCh. 12.8 - Prob. 47PSCh. 12.8 - Prob. 48PSCh. 12.8 - Prob. 49PSCh. 12.8 - Prob. 50PSCh. 12.8 - Prob. 51PSCh. 12.8 - Prob. 52PSCh. 12.8 - Prob. 53PSCh. 12.8 - Prob. 54PSCh. 12.8 - Prob. 55PSCh. 12.8 - Prob. 56PSCh. 12.8 - Prob. 57PSCh. 12.8 - Prob. 58PSCh. 12.8 - Prob. 59PSCh. 12.8 - Prob. 60PSCh. 12 - Prob. 1PECh. 12 - Prob. 2PECh. 12 - Prob. 3PECh. 12 - Prob. 4PECh. 12 - Prob. 5PECh. 12 - Prob. 6PECh. 12 - Prob. 7PECh. 12 - Prob. 8PECh. 12 - Prob. 9PECh. 12 - Prob. 10PECh. 12 - Prob. 11PECh. 12 - Prob. 12PECh. 12 - Prob. 13PECh. 12 - Prob. 14PECh. 12 - Prob. 15PECh. 12 - Prob. 16PECh. 12 - Prob. 17PECh. 12 - Prob. 18PECh. 12 - Prob. 19PECh. 12 - Prob. 20PECh. 12 - Prob. 21PECh. 12 - Prob. 22PECh. 12 - Prob. 23PECh. 12 - Prob. 24PECh. 12 - Prob. 25PECh. 12 - Prob. 26PECh. 12 - Prob. 27PECh. 12 - Prob. 28PECh. 12 - Prob. 29PECh. 12 - Prob. 30PECh. 12 - Prob. 1SPCh. 12 - Prob. 2SPCh. 12 - Prob. 3SPCh. 12 - Prob. 4SPCh. 12 - Prob. 5SPCh. 12 - Prob. 6SPCh. 12 - Prob. 7SPCh. 12 - Prob. 8SPCh. 12 - Prob. 9SPCh. 12 - Prob. 10SPCh. 12 - Prob. 11SPCh. 12 - Prob. 12SPCh. 12 - Prob. 13SPCh. 12 - Prob. 14SPCh. 12 - Prob. 15SPCh. 12 - Prob. 16SPCh. 12 - Prob. 17SPCh. 12 - Prob. 18SPCh. 12 - Prob. 19SPCh. 12 - Prob. 20SPCh. 12 - Prob. 21SPCh. 12 - Prob. 22SPCh. 12 - Prob. 23SPCh. 12 - Prob. 24SPCh. 12 - Prob. 25SPCh. 12 - Prob. 26SPCh. 12 - Prob. 27SPCh. 12 - Prob. 28SPCh. 12 - Prob. 29SPCh. 12 - Prob. 30SPCh. 12 - Prob. 31SPCh. 12 - Prob. 32SPCh. 12 - Prob. 33SPCh. 12 - Prob. 34SPCh. 12 - Prob. 35SPCh. 12 - Prob. 36SPCh. 12 - Prob. 37SPCh. 12 - Prob. 38SPCh. 12 - Prob. 39SPCh. 12 - Prob. 40SPCh. 12 - Prob. 41SPCh. 12 - Prob. 42SPCh. 12 - 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- OA. 0 Evaluate the integral by reversing the order of integration. OB. 0(e-6-1) O C. -2(e-³-1) O D. 12(e-³-1) ○ E. (e-6 - 1) 1 ST Y 12e -31² dx dyarrow_forward8. Let S = x – 2x + 2 dx. (a) Using Simpson's Rule with 4 intervals, find the approximate value of S to three decimal places. (b) Using the Trapezoidal (Trapezium) Rule with 4 intervals, find the approximate value of S to three decimal places. (c) Find the exact value of S by performing the integration.arrow_forward5. Integrate: 3+(x+1) u= 2x-5 - dx We will begin this problem by "adding zero" (Note the +2-2 in the numerator): du= 2x+2-2-5 3+(x+1)² From here, please split the integral into two integrals in a manner similar to Example 3 from the 5.8 Lecture Notes. Integral #1: dx State your final answer: + u= Integral #2: du= a= 2arrow_forward
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