Khushi S.
asked • 06/23/22find an equation tangent to the line x^4 + 3x^2 y -7y^2 = -21, at the point (1,2)
i would know what to do for this, but the y's are confusing me.
More
2 Answers By Expert Tutors
Tom N. answered • 06/23/22
Tutor
4.9
(503)
Strong proficiency in elementary and advanced mathematics
Take the derivative: 3x3 +6xy +3x2y' -14yy' = 0 plug in the values for x and y gives 3 + 12 + 3y' - 28y' = 0 so y' = 15/ 25 which is 3/5 so now using the equation for a straight line y=mx + b for the tangent where m=3/5 so y=3x/5 +b and using the point in question 2= 3/5 + b and b= 7/5 so the equation of the line is y-3x/5 + 7/5.
Still looking for help? Get the right answer, fast.
Ask a question for free
Get a free answer to a quick problem.
Most questions answered within 4 hours.
OR
Find an Online Tutor Now
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
Tom N.
06/23/22