Find an equation for the line tangent to the curve at the point defined by the…
The following solution is suggested to handle the subject “Find an equation for the line tangent to the curve at the point defined by the…“. Let’s keep an eye on the content below!
Question “Find an equation for the line tangent to the curve at the point defined by the…”
Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point x=16 cost, y = 4 sint,t= The equation represents the line tangent to the curve at t= (Type an exact answer, using radicals as needed.) d²y The value of dx2 (Type an exact answer, using radicals as needed.) att =
Answer
sos) Given, = usint z=1/4 x=16 cost; de Ciscost] =-16sint dy z = 2 1 [usint}= 4cost – slope m2 dyldt duldt 4 cost -16 sint I h cot(t) – 1 cot (1/6) 2 ot ald yo Now 2=16 cos (1/4) = 16 v2 (214) =( 16 ) m = – – – – = 48 sint = 5 m=-52 4 equation is g- u (x-16 / Vz 4 >> y – 4 / 2x 4 + 4 4 > y = 4+ . 2x ola 4 y + 2x 4+ V2
tangent -ot equation y + 2x – 4 4 b Now du d dy dt dx dt du dan 16 sint & [ (606) =cosce” (t), 4 losint cosec 3 (t) at t=1/4 64 (12) 64 dy da2 v2 32
Conclusion
Above is the solution for “Find an equation for the line tangent to the curve at the point defined by the…“. We hope that you find a good answer and gain the knowledge about this topic of math.