Calculus
Calculus
5th Edition
ISBN: 9781429241861
Author: Laura Taalman, Peter Kohn
Publisher: W. H. Freeman
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Chapter 5.5, Problem 1TB

(a)

To determine

To Find: The domain and range of fx=sin1x along with the sketch and a labelled graph. Also, the domain and range of fx=sin1x in the context of the unit circle.

(b)

To determine

To Find: The domain and range of fx=tan1x along with the sketch and a labelled graph. Also, the domain and range of fx=tan1x in the context of the unit circle.

(c)

To determine

To Find: The domain and range of fx=sec1x along with the sketch and a labelled graph. Also, the domain and range of fx=sec1x in the context of the unit circle.

(d)

To determine

To Find: The domain and range of fx=sin1x3 along with the sketch and a labelled graph. Also, the domain and range of fx=sin1x3 in the context of the unit circle.

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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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