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 = \_\_\_ $.

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Description: 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

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Math

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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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Question

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 = \_\_\_ $.

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