SlytherinPrincess8 SlytherinPrincess8
  • 12-05-2020
  • Mathematics
contestada

What is the slope of the tangent line to the parametric curve x = t2 + 2t, y = t2 + 1 at t = 1?

I tried to solve before and got 2, which was incorrect.

Thank you in advance!

Respuesta :

MathPhys
MathPhys MathPhys
  • 12-05-2020

Answer:

1/2

Step-by-step explanation:

x = t² + 2t

dx/dt = 2t + 2

y = t² + 1

dy/dt = 2t

dy/dx = (dy/dt) / (dx/dt)

dy/dx = 2t / (2t + 2)

dy/dx = t / (t + 1)

At t = 1, dy/dx = 1/2.

Answer Link

Otras preguntas

Who were the 'KKK' and what were there intentions? (Teacher didn't tell me)
how do you say I want a bowl of soup in spanish
Name two things found in a plant cell that are not found in an animal cell.
Why were the steel plow in the mechanical Reaper important inventions?
how do you simplify fractoins
Any facts on string art? I can't find any!
How many electrons are in a carbon 13 (13c) atom?
A rectangle whose perimeter is 80 m has an area of 384 m^2. Find the dimensions of the rectangle.
If the circumference of a baseball is 24 cm what is the volume of the object
11. Consider the elements neon, bromine, and phosphorus. Which has five electrons in its 4p sublevel?