### June Revision Exercise 3 Q5

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

(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

Please do check through the solutions on your own, especially for questions that we did not have chance to properly discuss during class. You may whatsapp me too if you have a burning question. [...]

This question was sent in by a student, which I think is rather interesting given 2015 A’levels P1 Q3 had something similar. Use a definite integral to evaluate , given your answer correct [...]

I came across the integral a few days ago. Pretty interesting, many ways to solve this integral, be it graphically or by substitution. ? Answer: Hint: Consider the graph of , it should give a [...]

Many students seem to struggle when they see an integral with modulus as they do not know where to begin with. The first thing they should note is that, we cannot evaluate an integral with [...]

This is question that was tested in ACJC H2 Math Prelim P1 2015. A few of my students know how to answer it but were uncertain how to express it. Most students were concerned with (ii) of the [...]

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