Unit 6 top 5 - 5 Given: =-- + y 12sin3x 4 5 . Find: a)...

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1 0 ENGR 101 Unit 6 Top 5 Questions: 1 Use the definition of the derivative to prove that = ddxsinx cosx Hint: = , - = limh 0sinhh 1 limh 01 coshh 0 2 Using = ddxsinx cosx and =- ddxcosx sinx derive the formula for ddxtanx Hint: change = tanx sinxcosx 3 Evaluate - sin 112π without a calculator Hint: - = - sin 112π sin14π 13π 4 Find the limits of: a) limx 0sin7xsin2x b) + + + + limx 0sinx4 x sinxs4 x sinx
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Unformatted text preview: 5 Given: =-- + y 12sin3x 4 5 . Find: a) amplitude b) period c) horizontal shift ENGR 101 Unit 6 Top 5 Answers: 1 lim + -= h 0sinx h sinxh + ( )-( ) limh 0sinxcosh cosxsin h sin x h = (- ) + ( ) limh 0sinx cosh 1 h limh 0cos x sinhh = * + * = ( ) sinx 0 cosx 1 cos x 2 sec2x 3-1 322 4 ) , ) a 72 b 1 5 ) , ) ) a 12 b 23 c 43...
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Unit 6 top 5 - 5 Given: =-- + y 12sin3x 4 5 . Find: a)...

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