889 prompts matching "Show that command word: a function is its own inverse"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Explain trigonometric identities back to me
Act as my SS2 Further Maths tutor. I'll explain the Pythagorean trigonometric identity and
Explain arithmetic and geometric progressions back to me
Act as my SS2 Further Maths tutor. I'll explain the difference between an arithmetic progr
Teach me the basics of differentiation
Act as my SS2 Further Maths tutor. Teach me the basic rules of differentiation for polynom
Worked example: finding the gradient of a curve at a point
Act as my SS2 Further Maths tutor. Show me a full worked example of differentiating a poly
Worked example: finding and classifying a stationary point
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the stationary
Worked example: solving a quadratic with complex roots
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq
Worked example: plotting a complex number on an Argand diagram
Act as my SS2 Further Maths tutor. Show me a full worked example of plotting a complex num
Explain vectors back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to add vectors and fin
Solve the logarithmic equation log2(x) + log2(x-2) = 3
Act as my SS2 Further Maths tutor. Show me step by step how to solve log2(x) + log2(x-2) =
Solve the logarithmic equation log(x+1) - log(x-1) = 2
Act as my SS2 Further Maths tutor. Show me step by step how to solve log(x+1) - log(x-1) =
Solve the logarithmic equation 2log(x) = log(x+6) + log(4)
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +
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: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se
Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se