Practice Sprint Leaderboard Browse

Loading topic…

Mathletic — HSC, IB, AP & A-Level practice·Privacy Terms

Applications of Calculus (Advanced)

HSC · Past exam questions

Filters:

HSC·2021 · HSC Mathematics Advanced·Medium

The area

A

of a circle is increasing at a rate of

2\pi \text{ cm}^2/\text{s}

. At what rate is the radius increasing when

r = 3

cm?

HSC·2017 · HSC Mathematics Advanced·Hard

Let

f(x) = x^3 - 12x

. Find the stationary points of

f

and determine their nature.

Your answer

HSC·2018 · HSC Mathematics Advanced·Medium

Find the area enclosed between the curve

y = 6x^2

, the

x

-axis, and the lines

x = 0

and

x = 3

.

Your answer

HSC·2019 · HSC Mathematics Advanced·Easy

Find the slope of the tangent line to

y = x^2

at the point where

x = 2

.