Let 13 20 x 20+ y = 2 be the equation of a curve in the xy-plane. Find the equation y = T(x) of the tangent line at (1, 1), then evaluate T(21). T(21) = _.
Let 13 20 x 20+ y = 2 be the equation of a curve in the xy-plane. Find the equation y = T(x) of the tangent line at (1, 1), then evaluate T(21). T(21) = _.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let
\[
\frac{x^{\frac{13}{20}}}{\frac{13}{20}} + \frac{y^{\frac{20}{13}}}{\frac{20}{13}} = 2
\]
be the equation of a curve in the \(xy\)-plane. Find the equation \(y = T(x)\) of the tangent line at \((1, 1)\), then evaluate \(T(21)\).
\(T(21) = \_\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1467f162-7185-45ab-925a-2589d3c8cce7%2F82e2cd66-75e5-4050-80d7-bcc49be005dd%2Fczookf_processed.png&w=3840&q=75)
Transcribed Image Text:Let
\[
\frac{x^{\frac{13}{20}}}{\frac{13}{20}} + \frac{y^{\frac{20}{13}}}{\frac{20}{13}} = 2
\]
be the equation of a curve in the \(xy\)-plane. Find the equation \(y = T(x)\) of the tangent line at \((1, 1)\), then evaluate \(T(21)\).
\(T(21) = \_\).
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