Ask Singapore Homework?
Upload a photo of a Singapore homework and someone will email you the solution for free.
Question
secondary 4 | A Maths
One Answer Below
Anyone can contribute an answer, even non-tutors.
Application of differentiation question. Been struggling with this question pls help
Date Posted: 1 year ago
Views: 387
See 1 Answer
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
the confusing thing about this question is that it uses ‘r’ to represent the increase in radius from base radius of 350 ft ('r' is not radius of cavern!)
to avoid confusion, we have to use a different letter ‘R’ to represent the radius of the spherical cavern.
for rate of change of surface area, can also consider as
dA/dt = (dA/dR) x (dR/dt), since we already know dR/dt from the first part.
note that for dA/dV, it is easier to consider as ...
dA/dV = (dA/dR)/(dV/dR), rather than to try to express A in terms of V, then differentiate A with respect to V!
please do check for calculation errors.
to avoid confusion, we have to use a different letter ‘R’ to represent the radius of the spherical cavern.
for rate of change of surface area, can also consider as
dA/dt = (dA/dR) x (dR/dt), since we already know dR/dt from the first part.
note that for dA/dV, it is easier to consider as ...
dA/dV = (dA/dR)/(dV/dR), rather than to try to express A in terms of V, then differentiate A with respect to V!
please do check for calculation errors.
Date Posted:
1 year ago
Okie will do thank you!!
360 Tutoring Program