Calculus
Calculus
5th Edition
ISBN: 9781429241861
Author: Laura Taalman, Peter Kohn
Publisher: W. H. Freeman
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Chapter 6.4, Problem 1C

a.

To determine

Whether the statement, “Mass and weight are the same.” is true or false.

b.

To determine

Whether the statement, “A large object can have less mass than smaller object.” is true or false.

c.

To determine

Whether the statement, “An object can have one mass on Earth and another mass on the moon.” is true or false.

d.

To determine

Whether the statement, “An object can have one weight on Earth and another weight on the moon.” is true or false.

e.

To determine

Whether the statement, “Water has a weight-density of 62.4 foot-pounds.” is true or false.

f.

To determine

Whether the statement, “It always takes more work to lift a heavy object than a light object for the same distance.” is true or false.

g.

To determine

Whether the statement, “Hydrostatic force can be measured only on horizontal walls.” is true or false.

h.

To determine

Whether the statement, “Hydrostatic force is stronger at greater depths that it is lesser depths.” is true or false.

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For each of the following series, determine whether the absolute convergence series test determines absolute convergence or fails. For the ¿th series, if the test is inconclusive then let Mi = 4, while if the test determines absolute convergence let Mi 1 : 2: ∞ Σ(−1)"+¹ sin(2n); n=1 Σ n=1 Σ ((−1)”. COS n² 3+2n4 3: (+ 4: 5 : n=1 ∞ n 2+5n3 ПП n² 2 5+2n3 пп n² Σ(+)+ n=1 ∞ n=1 COS 4 2 3+8n3 П ηπ n- (−1)+1 sin (+727) 5 + 2m³ 4 = 8. Then the value of cos(M₁) + cos(2M2) + cos(3M3) + sin(2M) + sin(M5) is -0.027 -0.621 -1.794 -1.132 -1.498 -4.355 -2.000 2.716
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