Question

Find the slope of the tangent line to the parametric curve indicated by the equations below:

LaTeX: = square root t 2 + 2 t

LaTeX: x= 2/5 e t + t

LaTeX: t = 2 Round your answer to 2 decimal places.

Answer 1

we are given

Firstly, we will find derivative

we can use chain rule

now, we can plug t=2

we are given

we can find derivative

now, we can plug t=2

now, we can find slope

so, we get

............Answer