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 = 28xy; (14,14) 20 a. Verify that the point is on the given curve. Evaluate x3 + y³ for x = 14 and y = 14. Evaluate 28xy for x = 14 and y = 14. Does the point lie on the curve x3 + y³ = 28xy? No Yes b. Write the equation for the tangent line at the point (14,14). Select the correct answer below and, if necessary, fill in the answer box to complete your choice. OA. y= B. The point (14,14) does not lie on the curve. G

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 = 28xy; (14,14)
20-
a. Verify that the point is on the given curve. Evaluate x³ + y³ for x = 14 and y = 14.
Evaluate 28xy for x = 14 and y = 14.
Does the point lie on the curve x3 + y³ = 28xy?
No
Yes
b. Write the equation for the tangent line at the point (14,14). Select the correct answer below and, if necessary, fill in the answer box to complete your choice.
OA. y=
OB. The point (14,14) does not lie on the curve.
✓
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 = 28xy; (14,14) 20- a. Verify that the point is on the given curve. Evaluate x³ + y³ for x = 14 and y = 14. Evaluate 28xy for x = 14 and y = 14. Does the point lie on the curve x3 + y³ = 28xy? No Yes b. Write the equation for the tangent line at the point (14,14). Select the correct answer below and, if necessary, fill in the answer box to complete your choice. OA. y= OB. The point (14,14) does not lie on the curve. ✓
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