Mathematical Methods — Question 3

QCAA 2022, Paper 1 · 1 mark

Q3 · 2022 · Technology-freeSimple familiar1 mark

QUESTION 3

The area between the curve

y=9-x^2

and the

x

-axis is

(A)

12 units²

(B)

18 units²

(C)

36 units²

(D)

54 units²

ABCD

WORKED SOLUTION

1 mark

ANSWER

C — 36 units²

Worked solution

The curve meets the

x

-axis at

x=\pm3

. Thus the area is

\int_{-3}^{3}(9-x^2)\,dx=36

square units, so C.

Selects option C.

[1 mark]

Worked explanation by QCE Vault; correct option verified against the QCAA answer key.