Find the lines that are (a) tangential and (b) normal to each curve at the given point. 2 y = 1, 25 V15 16 equation of the tangent line to the point 1,-V15 is The
Find the lines that are (a) tangential and (b) normal to each curve at the given point. 2 y = 1, 25 V15 16 equation of the tangent line to the point 1,-V15 is The
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Please also calculate the equation of the normal line to the point
![**Problem Description:**
Find the lines that are (a) tangential and (b) normal to each curve at the given point.
Equation of the curve:
\[
\frac{x^2}{16} + \frac{y^2}{25} = 1
\]
Given point on the curve:
\[
\left( 1, \frac{5}{4} \sqrt{15} \right)
\]
**Task:**
Determine the equation of the tangent line to the curve at the point \(\left( 1, \frac{5}{4} \sqrt{15} \right)\).
**Answer Section:**
The equation of the tangent line to the point \(\left( 1, \frac{5}{4} \sqrt{15} \right)\) is \( y = \_\_\_ \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59261ac9-63fd-4d3f-99b4-4fb2494d440c%2F1d33bd74-1e02-400f-b860-303358f954bc%2Fsruc2dn_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
Find the lines that are (a) tangential and (b) normal to each curve at the given point.
Equation of the curve:
\[
\frac{x^2}{16} + \frac{y^2}{25} = 1
\]
Given point on the curve:
\[
\left( 1, \frac{5}{4} \sqrt{15} \right)
\]
**Task:**
Determine the equation of the tangent line to the curve at the point \(\left( 1, \frac{5}{4} \sqrt{15} \right)\).
**Answer Section:**
The equation of the tangent line to the point \(\left( 1, \frac{5}{4} \sqrt{15} \right)\) is \( y = \_\_\_ \).
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