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How can I improve my score?

Maths is all about practise. Once you have covered a topic, you should do as many practise questions as possible to help you understand the topic. Always show your working out on your exam paper to gain maximum marks.

Answered by Samah L. • Maths tutor

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Differentiate the function f(x) = x*sin(x)

What are the advantages of using numerical integration (Trapezium rule, Simpson's rule and so on) over direct integration?

Consider the functions f(x) = −x^3 + 2x^2 + 3x and g(x) = −x^3 + 3x^2 − x + 3. (a) Find df/dx (x) and hence show that f(x) has turning points at when x = 2 /3 ± √ 13/ 3 . [5] (b) Find the points where f(x) and g(x) intersect. [4]

How can I improve my score?

Related Maths A Level answers

Differentiate the function f(x) = x*sin(x)

What are the advantages of using numerical integration (Trapezium rule, Simpson's rule and so on) over direct integration?

Consider the functions f(x) = −x^3 + 2x^2 + 3x and g(x) = −x^3 + 3x^2 − x + 3. (a) Find df/dx (x) and hence show that f(x) has turning points at when x = 2 /3 ± √ 13/ 3 . [5] (b) Find the points where f(x) and g(x) intersect. [4]

Find the integral of (2(3x+2))/(3x^2+4x+9).

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