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

A horse began running due east and covered 25 km in 4.0 hr. What is the average velocity of the horse? A) 0.16 km/hr due east B) 6.25 km/hr due east C) 16 km/
The beat your doctor listens to through a stethoscope is the sound of the four valves opening and closing. TRUE OR FALSE
What is best for strep throat- hot or cold?
26. Of all the kinds of life exchanged when the Old and New Worlds met, which of the following had the greatest impact? (Points : 3) domesticated animals
Gamma rays and X–rays are similar because they both have
Which option best describes how Islam, Christianity, and Judaism are similar. A. Although they use different books for guidance, all three religions use the Ten
What are three ways industrialization changed American lives?
Effie ate 4 peaches. this represents 25% of the bag of peaches. how many peaches were originally in the bag
which statement is true about the concept of ethnicity?
Which of the following makes a resource reference within an informational text? (A) Summary (B) Paraphrase (C) Internal citation (D) Works Cited page