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(i) (ii) (iii) When Back to June Revision Exercise 3

When When Back to June Revision Exercise 3

(a) (b) (c) (i) (ii) (iii) Back to June Revision Exercise 3

(a)(i) Consider is a circle with centre Origin and radius . Thus, required area is the area of a quadrant with radius (ii) (b) Back to June Revision Exercise 3

(i) When Hence

(a) (b) Back to June Revision Exercise 3

(i) (ii) Area of R As Back to June Revision Exercise 3

(a)(i) Let (a)(ii) *Students are expected to prove that gives the maximum area. (b)(i) latex xlatex \Rightarrow \frac{dy}{dx}=0latex y=-x^2latex y=-x^2latex x^3 + 2y^3 +3xy=klatex x^3 + 2(-x^2)^3 [...]

(i) When Equation of tangent: Equation of normal: (ii) Hence, tangent cuts curve again at (iii) At Q, At R, Back to June Revision Exercise 3

(i) For tangents to be parallel to the -axis, Sub into Thus, equations of tangents which are parallel to -axis are (ii) units per second. Back to June Revision Exercise 3