Find the function r that satisfies the following conditions. Bold r prime left parenthesis t right parenthesisequalsStartFraction t Superscript 5 Over t Superscript 6 Baseline plus 1 EndFraction iplust Superscript 5 Baseline e Superscript negative t Super Superscript 6jnegative StartFraction 5 t Superscript 4 Over StartRoot t Superscript 5 Baseline plus 16 EndRoot EndFraction k; Bold r left parenthesis 0 right parenthesisequalsnegative 2 Bold i plus StartFraction 17 Over 6 EndFraction Bold j minus 6 Bold k Question content area bottom Part 1 Bold r left parenthesis t right parenthesisequalsleft parenthesis nothing right parenthesis Bold i plus left parenthesis nothing right parenthesis Bold j plus left parenthesis nothing right parenthesis Bold k
Find the function r that satisfies the following conditions. Bold r prime left parenthesis t right parenthesisequalsStartFraction t Superscript 5 Over t Superscript 6 Baseline plus 1 EndFraction iplust Superscript 5 Baseline e Superscript negative t Super Superscript 6jnegative StartFraction 5 t Superscript 4 Over StartRoot t Superscript 5 Baseline plus 16 EndRoot EndFraction k; Bold r left parenthesis 0 right parenthesisequalsnegative 2 Bold i plus StartFraction 17 Over 6 EndFraction Bold j minus 6 Bold k Question content area bottom Part 1 Bold r left parenthesis t right parenthesisequalsleft parenthesis nothing right parenthesis Bold i plus left parenthesis nothing right parenthesis Bold j plus left parenthesis nothing right parenthesis Bold k
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Question
Find the function r that satisfies the following conditions.
Bold r prime left parenthesis t right parenthesisequalsStartFraction t Superscript 5 Over t Superscript 6 Baseline plus 1 EndFraction
iplust Superscript 5 Baseline e Superscript negative t Super Superscript 6jnegative StartFraction 5 t Superscript 4 Over StartRoot t Superscript 5 Baseline plus 16 EndRoot EndFraction
k; Bold r left parenthesis 0 right parenthesisequalsnegative 2 Bold i plus StartFraction 17 Over 6 EndFraction Bold j minus 6 Bold k
Question content area bottom
Part 1
Bold r left parenthesis t right parenthesisequalsleft parenthesis nothing right parenthesis Bold i plus left parenthesis nothing right parenthesis Bold j plus left parenthesis nothing right parenthesis Bold k
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