# Band 4/5 Response 2

The response demonstrates sound knowledge and skills relevant to integration and trigonometric ratios. It uses appropriate methods and mathematical notation to communicate solutions. Correct application of differentiation rules would have enhanced the response.

#### Other responses in this band

#### Items in this component

Written Paper
Section I
Question 3 - 2001 HSC
Written Paper
Section I
Question 1 - 2010 HSC
Written Paper
Section I
Question 10 - 2010 HSC
Written Paper
Section I
Question 2 - 2010 HSC
Written Paper
Section I
Question 3 - 2010 HSC
Written Paper
Section I
Question 4 - 2010 HSC
Written Paper
Section I
Question 5 - 2010 HSC
Written Paper
Section I
Question 9 - 2010 HSC
Written Paper
Section I
Question 1 - 2002 HSC
Written Paper
Section I
Question 2 - 2002 HSC
Written Paper
Section I
Question 4 - 2002 HSC
Written Paper
Section I
Question 6 - 2002 HSC
Written Paper
Section I
Question 7 - 2002 HSC
Written Paper
Section I
Question 9 - 2002 HSC
Written Paper
Section I
Question 1 - 2001 HSC
Written Paper
Section I
Question 10 - 2001 HSC
Written Paper
Section I
Question 2 - 2001 HSC
Written Paper
Section I
Question 5 - 2001 HSC
Written Paper
Section I
Question 7 - 2001 HSC
Written Paper
Section I
Question 9 - 2001 HSC

#### Support Material

- About the Standards
- Marking Guidelines (including Mapping Grid plus Notes from the Marking Centre)
- Performance Band Descriptions
- Syllabus
- This Exam Paper

#### Component

- Basic arithmetic and algebra
- Real functions
- Trigonometric ratios
- Linear functions
- The quadratic polynomial and the parabola
- Plane geometry
- Tangent to a curve and derivative of a function
- Geometrical applications of differentiation
- Integration
- Trigonometric functions
- Logarithmic and exponential functions
- Applications of calculus to the physical world
- Probability
- Series and applications