What is the value of the slope of the tangent line to the x²+4xy + y=13 passing through the point with curve coordinates (-1,– 2)?Write the answer in its exact form as an integer or a fraction in lowest terms. Blank 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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What is the value of the slope of the tangent line to the
x²+4xy +y=13 passing through the point with
%3D
curve
coordinates (-1,– 2)?Write the answer in its exact form
as an integer or a fraction in lowest terms. Blank 1
Transcribed Image Text:What is the value of the slope of the tangent line to the x²+4xy +y=13 passing through the point with %3D curve coordinates (-1,– 2)?Write the answer in its exact form as an integer or a fraction in lowest terms. Blank 1
One leg of a right triangle is always 6 centimeters long,
and the other leg is increasing at a rate of 2 centimeters
per second. Find the rate of change of hypotenuse when it
is 10 centimeters long. Write the answer in its exact form
as an integer or a fraction in lowest terms.
The measure of the hypotenuse is increasing by Blank 1
centimeters per second, at an instant.
Transcribed Image Text:One leg of a right triangle is always 6 centimeters long, and the other leg is increasing at a rate of 2 centimeters per second. Find the rate of change of hypotenuse when it is 10 centimeters long. Write the answer in its exact form as an integer or a fraction in lowest terms. The measure of the hypotenuse is increasing by Blank 1 centimeters per second, at an instant.
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