a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to the curve at the given point. x? + xy + Sy? = 5: (2.3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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a. Verify that the given point lies on the curve.
b. Determine an equation of the line tangent to the curve at the given point.
Ay
8-
x2 + xy + 5y2 = 55; (2,3)
X
-8
-8-
a. How do you know that the point is on the given curve?
O A. The point (2,3) is in the domain of the implicit function.
O B. The point (2,3) is in the first quadrant.
O C. The value of x2 + xy + 5y² is less than 55 when x is 2 and y is 3.
O D. The value of x² + xy +
5y2 is 55 when x is 2 and y is 3.
b. Write the equation for the tangent line in slope-intercept form.
y =O
%3D
(Use integers or fractions for any numbers in the equation.)
of
Transcribed Image Text:a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to the curve at the given point. Ay 8- x2 + xy + 5y2 = 55; (2,3) X -8 -8- a. How do you know that the point is on the given curve? O A. The point (2,3) is in the domain of the implicit function. O B. The point (2,3) is in the first quadrant. O C. The value of x2 + xy + 5y² is less than 55 when x is 2 and y is 3. O D. The value of x² + xy + 5y2 is 55 when x is 2 and y is 3. b. Write the equation for the tangent line in slope-intercept form. y =O %3D (Use integers or fractions for any numbers in the equation.) of
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