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Tangent lines Find an equation of the line

Chapter 8, Problem 30RE

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QUESTION:

Tangent lines Find an equation of the line tangent to the following curves at the given point. Check your work with a graphing utility.

\(x^{2}=5 y \); \(\left(-2, \frac{4}{5}\right)\)

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QUESTION:

Tangent lines Find an equation of the line tangent to the following curves at the given point. Check your work with a graphing utility.

\(x^{2}=5 y \); \(\left(-2, \frac{4}{5}\right)\)

ANSWER:

Solution 30REStep 1:In this problem we have to find the equation of the line tangent to , at the point ( - , ). First let us find the slope of Differentiate both sides with respect to x, () 2x = 5 (y), , since 2x = 5 = Therefore , slope of is ; .

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