fernandobarajas284 fernandobarajas284
  • 04-05-2020
  • Mathematics
contestada

Consider the parametric curve:

x = 3 tant

y = 4 sect

find d y / d x at t = π.

Respuesta :

LammettHash
LammettHash LammettHash
  • 06-05-2020

By the chain rule,

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}=\dfrac{4\sec t\tan t}{3\sec^2t}=\dfrac43\sin t[/tex]

When [tex]t=\pi[/tex], we have

[tex]\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{t=\pi}=\dfrac43\sin\pi=0[/tex]

Answer Link

Otras preguntas

why does a good conductor melt ice quickly? A. A good conductor transfers heat slowly into the ice cube, causing it to melt B. A good conductor transfers heat
All of the following are examples of harmony EXCEPT: A. An effective window treatment should follow the line and theme of the room. B. A general feeling of them
The Monarch Division of Allgood Corporation has a current ROI of 13 percent. The company target ROI is 9 percent. The Monarch Division has an opportunity to inv
please help thanks srry for the horrible picture​
f(x) = x^2. What is g(x)?
A bag contains 36 marbles either red or green in color. The ratio of red marbles to green marbles is 3 to 1. How many green marbles are there?
Complementary angles are 2 angles with a sum of 90.
Use personification to describe a mountain.
when an atom gains a valence electron, it become a (n)_____ion.
Which type of weather might you expect to find if cumulonimbus clouds are present? light rain or snow thunderstorms no precipitation heavy rain or snow