883 prompts matching "Proving that a quadratic expression is positive for every real x"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Final Revision: A word problem about seating at a round table
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Final Revision: A word problem about choosing a delegation
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Final Revision: A word problem about a lottery draw
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Quiz me on completing the square to find a turning point
Act as my SS2 Further Maths tutor. Quiz me with four quadratic equations that I must solve
Teach me changing the base of a logarithm
Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and
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
Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se
Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
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 stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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: differentiate y = (2x-1)(x+3) after expanding it first
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: simplify (3+2i) + (1-5i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: simplify (2+i)(3-4i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: simplify (4+3i)/(1-2i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: find the modulus and argument of 3+4i
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
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 the determinant of [[5,2],[3,4]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem