APPLIED CALCULUS-PRINT COMPANION (LL)
6th Edition
ISBN: 9781119275565
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 6.3, Problem 20P
To determine
To evaluate the definite
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Each of the following statements is an attempt to show that a given series is convergent or
divergent using the Comparison Test (NOT the Limit Comparison Test.) For each statement, enter C
(for "correct") if the argument is valid, or enter | (for "incorrect") if any part of the argument is
flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter I.)
☐ 1. For all n > 1,
seriesΣ In(n)
In(n)
converges.
2, 1,
arctan(n)
the series arctan(n)
n³
☐ 4. For all n > 1,
123
converges.
1
n ln(n)
series In(n) diverges.
2n
.
and the seriesΣconverges, so by the Comparison Test,
2, 3, and the series converges, so by the Comparison Test, the
series-3
1
converges.
☐ 6. For all n > 2, In(n) >, and the series Σ converges, so by the Comparison Test, the
seriesΣ
In(n) converges.
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Chapter 6 Solutions
APPLIED CALCULUS-PRINT COMPANION (LL)
Ch. 6.1 - Prob. 1PCh. 6.1 - Prob. 2PCh. 6.1 - Prob. 3PCh. 6.1 - Prob. 4PCh. 6.1 - Prob. 5PCh. 6.1 - Prob. 6PCh. 6.1 - Prob. 7PCh. 6.1 - Prob. 8PCh. 6.1 - Prob. 9PCh. 6.1 - Prob. 10P
Ch. 6.1 - Prob. 11PCh. 6.1 - Prob. 12PCh. 6.1 - Prob. 13PCh. 6.1 - Prob. 14PCh. 6.1 - Prob. 15PCh. 6.1 - Prob. 16PCh. 6.1 - Prob. 17PCh. 6.1 - Prob. 18PCh. 6.1 - Prob. 19PCh. 6.1 - Prob. 20PCh. 6.1 - Prob. 21PCh. 6.1 - Prob. 22PCh. 6.1 - Prob. 23PCh. 6.1 - Prob. 24PCh. 6.1 - Prob. 25PCh. 6.1 - Prob. 26PCh. 6.1 - Prob. 27PCh. 6.1 - Prob. 28PCh. 6.1 - Prob. 29PCh. 6.1 - Prob. 30PCh. 6.1 - Prob. 31PCh. 6.1 - Prob. 32PCh. 6.1 - Prob. 33PCh. 6.1 - Prob. 34PCh. 6.1 - Prob. 35PCh. 6.1 - Prob. 36PCh. 6.1 - Prob. 37PCh. 6.1 - Prob. 38PCh. 6.1 - Prob. 39PCh. 6.1 - Prob. 40PCh. 6.1 - Prob. 41PCh. 6.1 - Prob. 42PCh. 6.1 - Prob. 43PCh. 6.1 - Prob. 44PCh. 6.2 - Prob. 1PCh. 6.2 - Prob. 2PCh. 6.2 - Prob. 3PCh. 6.2 - Prob. 4PCh. 6.2 - Prob. 5PCh. 6.2 - Prob. 6PCh. 6.2 - Prob. 7PCh. 6.2 - Prob. 8PCh. 6.2 - Prob. 9PCh. 6.2 - Prob. 10PCh. 6.2 - Prob. 11PCh. 6.2 - Prob. 12PCh. 6.2 - Prob. 13PCh. 6.2 - Prob. 14PCh. 6.2 - Prob. 15PCh. 6.2 - Prob. 16PCh. 6.2 - Prob. 17PCh. 6.2 - Prob. 18PCh. 6.2 - Prob. 19PCh. 6.2 - Prob. 20PCh. 6.2 - Prob. 21PCh. 6.2 - Prob. 22PCh. 6.2 - Prob. 23PCh. 6.2 - Prob. 24PCh. 6.2 - Prob. 25PCh. 6.2 - Prob. 26PCh. 6.2 - Prob. 27PCh. 6.2 - Prob. 28PCh. 6.2 - Prob. 29PCh. 6.2 - Prob. 30PCh. 6.2 - Prob. 31PCh. 6.2 - Prob. 32PCh. 6.2 - Prob. 33PCh. 6.2 - Prob. 34PCh. 6.2 - Prob. 35PCh. 6.2 - Prob. 36PCh. 6.2 - Prob. 37PCh. 6.2 - Prob. 38PCh. 6.2 - Prob. 39PCh. 6.2 - Prob. 40PCh. 6.2 - Prob. 41PCh. 6.2 - Prob. 42PCh. 6.2 - Prob. 43PCh. 6.2 - Prob. 44PCh. 6.2 - Prob. 45PCh. 6.2 - Prob. 46PCh. 6.2 - Prob. 47PCh. 6.2 - Prob. 48PCh. 6.2 - Prob. 49PCh. 6.2 - Prob. 50PCh. 6.2 - Prob. 51PCh. 6.2 - Prob. 52PCh. 6.2 - Prob. 53PCh. 6.2 - Prob. 54PCh. 6.2 - Prob. 55PCh. 6.2 - Prob. 56PCh. 6.2 - Prob. 57PCh. 6.2 - Prob. 58PCh. 6.2 - Prob. 59PCh. 6.2 - Prob. 60PCh. 6.2 - Prob. 61PCh. 6.2 - Prob. 62PCh. 6.2 - Prob. 63PCh. 6.2 - Prob. 64PCh. 6.2 - Prob. 65PCh. 6.2 - Prob. 66PCh. 6.2 - Prob. 67PCh. 6.2 - Prob. 68PCh. 6.2 - Prob. 69PCh. 6.2 - Prob. 70PCh. 6.2 - Prob. 71PCh. 6.2 - Prob. 72PCh. 6.2 - Prob. 73PCh. 6.2 - Prob. 74PCh. 6.2 - Prob. 75PCh. 6.2 - Prob. 76PCh. 6.2 - Prob. 77PCh. 6.2 - Prob. 78PCh. 6.2 - Prob. 79PCh. 6.2 - Prob. 80PCh. 6.2 - Prob. 81PCh. 6.2 - Prob. 82PCh. 6.2 - Prob. 83PCh. 6.2 - Prob. 84PCh. 6.2 - Prob. 85PCh. 6.2 - Prob. 86PCh. 6.2 - Prob. 87PCh. 6.2 - Prob. 88PCh. 6.2 - Prob. 89PCh. 6.2 - Prob. 90PCh. 6.2 - Prob. 91PCh. 6.2 - Prob. 92PCh. 6.2 - Prob. 93PCh. 6.2 - Prob. 94PCh. 6.2 - Prob. 95PCh. 6.3 - Prob. 1PCh. 6.3 - Prob. 2PCh. 6.3 - Prob. 3PCh. 6.3 - Prob. 4PCh. 6.3 - Prob. 5PCh. 6.3 - Prob. 6PCh. 6.3 - Prob. 7PCh. 6.3 - Prob. 8PCh. 6.3 - Prob. 9PCh. 6.3 - Prob. 10PCh. 6.3 - Prob. 11PCh. 6.3 - Prob. 12PCh. 6.3 - Prob. 13PCh. 6.3 - Prob. 14PCh. 6.3 - Prob. 15PCh. 6.3 - Prob. 16PCh. 6.3 - Prob. 17PCh. 6.3 - Prob. 18PCh. 6.3 - Prob. 19PCh. 6.3 - Prob. 20PCh. 6.3 - Prob. 21PCh. 6.3 - Prob. 22PCh. 6.3 - Prob. 23PCh. 6.3 - Prob. 24PCh. 6.3 - Prob. 25PCh. 6.3 - Prob. 26PCh. 6.3 - Prob. 27PCh. 6.3 - Prob. 28PCh. 6.3 - Prob. 29PCh. 6.3 - Prob. 30PCh. 6.3 - Prob. 31PCh. 6.3 - Prob. 32PCh. 6.3 - Prob. 33PCh. 6.3 - Prob. 34PCh. 6.3 - Prob. 35PCh. 6.3 - Prob. 36PCh. 6.3 - Prob. 37PCh. 6.3 - Prob. 38PCh. 6.3 - Prob. 39PCh. 6.3 - Prob. 40PCh. 6.3 - Prob. 41PCh. 6.4 - Prob. 1PCh. 6.4 - Prob. 2PCh. 6.4 - Prob. 3PCh. 6.4 - Prob. 4PCh. 6.4 - Prob. 5PCh. 6.4 - Prob. 6PCh. 6.4 - Prob. 7PCh. 6.4 - Prob. 8PCh. 6.4 - Prob. 9PCh. 6.4 - Prob. 10PCh. 6.4 - Prob. 11PCh. 6.4 - Prob. 12PCh. 6.4 - Prob. 13PCh. 6.4 - Prob. 14PCh. 6.4 - Prob. 15PCh. 6.4 - Prob. 16PCh. 6.4 - Prob. 17PCh. 6.4 - Prob. 18PCh. 6.4 - Prob. 19PCh. 6.5 - Prob. 1PCh. 6.5 - Prob. 2PCh. 6.5 - Prob. 3PCh. 6.5 - Prob. 4PCh. 6.5 - Prob. 5PCh. 6.5 - Prob. 6PCh. 6.5 - Prob. 7PCh. 6.5 - Prob. 8PCh. 6.5 - Prob. 9PCh. 6.5 - Prob. 10PCh. 6.5 - Prob. 11PCh. 6.5 - Prob. 12PCh. 6.5 - Prob. 13PCh. 6.5 - Prob. 14PCh. 6.5 - Prob. 15PCh. 6.5 - Prob. 16PCh. 6.5 - Prob. 17PCh. 6.5 - Prob. 18PCh. 6.5 - Prob. 19PCh. 6.5 - Prob. 20PCh. 6.5 - Prob. 21PCh. 6.5 - Prob. 22PCh. 6.5 - Prob. 23PCh. 6.5 - Prob. 24PCh. 6.6 - Prob. 1PCh. 6.6 - Prob. 2PCh. 6.6 - Prob. 3PCh. 6.6 - Prob. 4PCh. 6.6 - Prob. 5PCh. 6.6 - Prob. 6PCh. 6.6 - Prob. 7PCh. 6.6 - Prob. 8PCh. 6.6 - Prob. 9PCh. 6.6 - Prob. 10PCh. 6.6 - Prob. 11PCh. 6.6 - Prob. 12PCh. 6.6 - Prob. 13PCh. 6.6 - Prob. 14PCh. 6.6 - Prob. 15PCh. 6.6 - Prob. 16PCh. 6.6 - Prob. 17PCh. 6.6 - Prob. 18PCh. 6.6 - Prob. 19PCh. 6.6 - Prob. 20PCh. 6.6 - Prob. 21PCh. 6.6 - Prob. 22PCh. 6.6 - Prob. 23PCh. 6.6 - Prob. 24PCh. 6.6 - Prob. 25PCh. 6.6 - Prob. 26PCh. 6.6 - Prob. 27PCh. 6.6 - Prob. 28PCh. 6.6 - Prob. 29PCh. 6.6 - Prob. 30PCh. 6.6 - Prob. 31PCh. 6.6 - Prob. 32PCh. 6.6 - Prob. 33PCh. 6.6 - Prob. 34PCh. 6.6 - Prob. 35PCh. 6.6 - Prob. 36PCh. 6.6 - Prob. 37PCh. 6.6 - Prob. 38PCh. 6.6 - Prob. 39PCh. 6.6 - Prob. 40PCh. 6.6 - Prob. 41PCh. 6.6 - Prob. 42PCh. 6.6 - Prob. 43PCh. 6.6 - Prob. 44PCh. 6.6 - Prob. 45PCh. 6.6 - Prob. 46PCh. 6.6 - Prob. 47PCh. 6.6 - Prob. 48PCh. 6.6 - Prob. 49PCh. 6.6 - Prob. 50PCh. 6.6 - Prob. 51PCh. 6.6 - Prob. 52PCh. 6.6 - Prob. 53PCh. 6.6 - Prob. 54PCh. 6.6 - Prob. 55PCh. 6.6 - Prob. 56PCh. 6.6 - Prob. 57PCh. 6.6 - Prob. 58PCh. 6.6 - Prob. 59PCh. 6.6 - Prob. 60PCh. 6.6 - Prob. 61PCh. 6.6 - Prob. 62PCh. 6.6 - Prob. 63PCh. 6.6 - Prob. 64PCh. 6.6 - Prob. 65PCh. 6.6 - Prob. 66PCh. 6.6 - Prob. 67PCh. 6.6 - Prob. 68PCh. 6.7 - Prob. 1PCh. 6.7 - Prob. 2PCh. 6.7 - Prob. 3PCh. 6.7 - Prob. 4PCh. 6.7 - Prob. 5PCh. 6.7 - Prob. 6PCh. 6.7 - Prob. 7PCh. 6.7 - Prob. 8PCh. 6.7 - Prob. 9PCh. 6.7 - Prob. 10PCh. 6.7 - Prob. 11PCh. 6.7 - Prob. 12PCh. 6.7 - Prob. 13PCh. 6.7 - Prob. 14PCh. 6.7 - Prob. 15PCh. 6.7 - Prob. 16PCh. 6.7 - Prob. 17PCh. 6.7 - Prob. 18PCh. 6.7 - Prob. 19PCh. 6.7 - Prob. 20PCh. 6.7 - Prob. 21PCh. 6.7 - Prob. 22PCh. 6.7 - Prob. 23PCh. 6.7 - Prob. 24PCh. 6.7 - Prob. 25PCh. 6.7 - Prob. 26PCh. 6.7 - Prob. 27PCh. 6.7 - Prob. 28PCh. 6.7 - Prob. 29PCh. 6 - Prob. 1SYUCh. 6 - Prob. 2SYUCh. 6 - Prob. 3SYUCh. 6 - Prob. 4SYUCh. 6 - Prob. 5SYUCh. 6 - Prob. 6SYUCh. 6 - Prob. 7SYUCh. 6 - Prob. 8SYUCh. 6 - Prob. 9SYUCh. 6 - Prob. 10SYUCh. 6 - Prob. 11SYUCh. 6 - Prob. 12SYUCh. 6 - Prob. 13SYUCh. 6 - Prob. 14SYUCh. 6 - Prob. 15SYUCh. 6 - Prob. 16SYUCh. 6 - Prob. 17SYUCh. 6 - Prob. 18SYUCh. 6 - Prob. 19SYUCh. 6 - Prob. 20SYUCh. 6 - Prob. 21SYUCh. 6 - Prob. 22SYUCh. 6 - Prob. 23SYUCh. 6 - Prob. 24SYUCh. 6 - Prob. 25SYUCh. 6 - Prob. 26SYUCh. 6 - Prob. 27SYUCh. 6 - Prob. 28SYUCh. 6 - Prob. 29SYUCh. 6 - Prob. 30SYUCh. 6 - Prob. 31SYUCh. 6 - Prob. 32SYUCh. 6 - Prob. 33SYUCh. 6 - Prob. 34SYUCh. 6 - Prob. 35SYUCh. 6 - Prob. 36SYUCh. 6 - Prob. 37SYUCh. 6 - Prob. 38SYUCh. 6 - Prob. 39SYUCh. 6 - Prob. 40SYUCh. 6 - Prob. 41SYUCh. 6 - Prob. 42SYUCh. 6 - Prob. 43SYUCh. 6 - Prob. 44SYUCh. 6 - Prob. 45SYUCh. 6 - Prob. 46SYUCh. 6 - Prob. 47SYUCh. 6 - Prob. 48SYUCh. 6 - Prob. 49SYUCh. 6 - Prob. 50SYUCh. 6 - Prob. 51SYUCh. 6 - Prob. 52SYUCh. 6 - Prob. 53SYUCh. 6 - Prob. 54SYUCh. 6 - Prob. 55SYUCh. 6 - Prob. 56SYUCh. 6 - Prob. 57SYUCh. 6 - Prob. 58SYUCh. 6 - Prob. 59SYUCh. 6 - Prob. 60SYUCh. 6 - Prob. 61SYUCh. 6 - Prob. 62SYUCh. 6 - Prob. 63SYUCh. 6 - Prob. 64SYUCh. 6 - Prob. 65SYUCh. 6 - Prob. 66SYUCh. 6 - Prob. 67SYUCh. 6 - Prob. 68SYUCh. 6 - Prob. 69SYUCh. 6 - Prob. 70SYUCh. 6 - Prob. 1FOPCh. 6 - Prob. 2FOPCh. 6 - Prob. 3FOPCh. 6 - Prob. 4FOPCh. 6 - Prob. 5FOPCh. 6 - Prob. 6FOPCh. 6 - Prob. 7FOPCh. 6 - Prob. 8FOPCh. 6 - Prob. 9FOPCh. 6 - Prob. 10FOPCh. 6 - Prob. 11FOPCh. 6 - Prob. 12FOPCh. 6 - Prob. 13FOPCh. 6 - Prob. 14FOPCh. 6 - Prob. 15FOPCh. 6 - Prob. 16FOPCh. 6 - Prob. 17FOPCh. 6 - Prob. 18FOPCh. 6 - Prob. 19FOPCh. 6 - Prob. 20FOPCh. 6 - Prob. 21FOPCh. 6 - Prob. 22FOPCh. 6 - Prob. 23FOPCh. 6 - Prob. 24FOPCh. 6 - Prob. 25FOPCh. 6 - Prob. 26FOPCh. 6 - Prob. 27FOPCh. 6 - Prob. 28FOPCh. 6 - Prob. 29FOPCh. 6 - Prob. 30FOPCh. 6 - Prob. 31FOPCh. 6 - Prob. 32FOPCh. 6 - Prob. 33FOPCh. 6 - Prob. 34FOPCh. 6 - Prob. 35FOPCh. 6 - Prob. 36FOPCh. 6 - Prob. 37FOPCh. 6 - Prob. 38FOPCh. 6 - Prob. 39FOPCh. 6 - Prob. 40FOPCh. 6 - Prob. 41FOPCh. 6 - Prob. 42FOPCh. 6 - Prob. 43FOPCh. 6 - Prob. 44FOPCh. 6 - Prob. 45FOPCh. 6 - Prob. 46FOPCh. 6 - Prob. 47FOP
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- 3.12 (B). A horizontal beam AB is 4 m long and of constant flexural rigidity. It is rigidly built-in at the left-hand end A and simply supported on a non-yielding support at the right-hand end B. The beam carries Uniformly distributed vertical loading of 18 kN/m over its whole length, together with a vertical downward load of 10KN at 2.5 m from the end A. Sketch the S.F. and B.M. diagrams for the beam, indicating all main values. Cl. Struct. E.] CS.F. 45,10,376 KN, B.M. 186, +36.15 kNm.7arrow_forwardQize f(x) = x + 2x2 - 2 x² + 4x²² - Solve the equation using Newton Raphsonarrow_forward-b±√√b2-4ac 2a @4x²-12x+9=0 27 de febrero de 2025 -b±√√b2-4ac 2a ⑥2x²-4x-1=0 a = 4 b=-12 c=9 a = 2 b = 9 c = \ x=-42±√(2-4 (4) (9) 2(4)) X = (12) ±√44)-(360) 2(108) x = ±√ X = =±√√²-4(2) (1) 2() X = ±√ + X = X = + X₁ = = X₁ = X₁ = + X₁ = = =arrow_forward
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