calculus question (1 Viewer)

saltshaker

Member
Joined
Feb 13, 2021
Messages
94
Gender
Male
HSC
2023
Q15 (b)
should be easy enough
Screen Shot 2021-07-01 at 3.24.48 pm.png
dx/dt = t
dy/dt = 1/t
dy/dx = 1/t^2

but the answer sheet says -1/t^2 ? Where did they get a bloody negative?
 

saltshaker

Member
Joined
Feb 13, 2021
Messages
94
Gender
Male
HSC
2023
right after posting this just realised all tangents on your standard hyperbola will be of a negative gradient

but how was I meant to get that through calculus/algebraic manipulation?
 

saltshaker

Member
Joined
Feb 13, 2021
Messages
94
Gender
Male
HSC
2023
dx/dt = c
dy/dt = -c/t^2

.: dy/dx = dy/dt / dx/dt = -c/t^2 / c = - 1/t^2

As you can see, you've got so many things wrong.
what 'no parametrics in scope and sequence for yr11' does to a man
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top