6.sin x (1 + sin x cos x) dxy csc² ( tan (v²))7.dycos²(y²)8.sec (11w) tan (11w)(2 – sec (11w))" dw9.x²3/2+ 17x*dx1+ cot (x-1 + 1) csc² (x¬' + 1)x² csc (x-1+ 1)10.dx

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Answered: 6. sin x (1 + sin x cos x) dx y csc² (…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Find dy/dx 1. y = x^2(sin^−1 x)^3 2. y = e^tanh x/x^2 − sechx 3. y = tan^−1 (sechx) + sech(tan^−1 x)
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a) Use the hyperbolic identity sech^2(x) = 1 - tanh^2(x) to solve 4tanh^2 (x) + sech^2(x) =3 b) use implicit differentiation to find dy/dx for sec^-1(2x^2)= tanh(x^2y) c) evaluate integrals 3/√25x^2 -16 dx
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6. sin x (1 + sin x cos x) dx y csc² ( tan (y²)) dy 7. cos²(y²) sec (11w) tan (11w) V (2 – sec (11w))’ dw 8.