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Senior Secondary

Further Mathematics

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1,045 prompts matching "Explain the difference between differentiation and integration"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Solve the logarithmic equation log3(x^2) - log3(x+2) = 1

Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)

Solve the logarithmic equation log5(x+3) + log5(2) = 2

Act as my SS2 Further Maths tutor. Show me step by step how to solve log5(x+3) + log5(2) =

Simplify the surd expression sqrt(72) + sqrt(18)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(72) + sqrt(18

Simplify the surd expression sqrt(50) - sqrt(8)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(50) - sqrt(8)

Simplify the surd expression (3+sqrt2)(3-sqrt2)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)

Simplify the surd expression 5/(1+sqrt3)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify 5/(1+sqrt3), extra

Simplify the surd expression (2+sqrt5)^2

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra

Worked example: find the gradient of y = x^3 - 4x at the point where x = 2

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

Give me a 5-minute recap of completing the square

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of completing the square

Give me a 5-minute recap of the quadratic formula

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the quadratic formula

Give me a 5-minute recap of the remainder theorem

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the remainder theorem

Give me a 5-minute recap of the factor theorem

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the factor theorem, c

Give me a 5-minute recap of propositions and compound statements

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of propositions and comp

Give me a 5-minute recap of converse and inverse propositions

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of converse and inverse

Give me a 5-minute recap of the binomial theorem

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the binomial theorem,

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