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. x3+ y³ = 30xy; (15,15) a. Verify that the point is on the given curve. Evaluate x3 + y³ for x = 15 and y = 15. Evaluate 30xy for x = 15 and y = 15. Does the point lie on the curve x3 + y³ = 30xy? Yes No b. Write the equation for the tangent line at the point (15,15). Select the correct answer below and, if necessary, fill in the answer box to complete your choice. ○ A. y= OB. The point (15,15) does not lie on the curve. 22-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Question
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.
x3+ y³ = 30xy; (15,15)
a. Verify that the point is on the given curve. Evaluate x3 + y³ for x = 15 and y = 15.
Evaluate 30xy for x = 15 and y = 15.
Does the point lie on the curve x3 + y³ = 30xy?
Yes
No
b. Write the equation for the tangent line at the point (15,15). Select the correct answer below and, if necessary, fill in the answer box to complete your choice.
○ A. y=
OB. The point (15,15) does not lie on the curve.
22-
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. x3+ y³ = 30xy; (15,15) a. Verify that the point is on the given curve. Evaluate x3 + y³ for x = 15 and y = 15. Evaluate 30xy for x = 15 and y = 15. Does the point lie on the curve x3 + y³ = 30xy? Yes No b. Write the equation for the tangent line at the point (15,15). Select the correct answer below and, if necessary, fill in the answer box to complete your choice. ○ A. y= OB. The point (15,15) does not lie on the curve. 22-
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