218 prompts matching "A body dropped from a rising balloon"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Teach me finding the determinant of a two by two matrix
You are my SS2 Further Mathematics tutor. Teach me the determinant of a two by two matrix,
Quiz me on the whole term's Further Maths topics
Act as my SS2 Further Maths tutor. Quiz me with one question from each major topic I've co
Create flashcard questions for Further Maths topics
Act as my SS2 Further Maths tutor. Create ten flashcard-style question-and-answer pairs co
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
Cambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
Non-calculator paper: subtract polynomials and state the degree
Set me a non-calculator question where I subtract one polynomial from another, simplify, a
Teach me composite functions
Teach me what a composite function fg(x) means and how to find it, using function notation
Learn: Making the coefficient of x squared equal to one first
You are my personal SS2 Further Mathematics tutor. Teach me making the coefficient of x sq
Quiz: Completing the square on x squared plus 6x
Act as my SS2 Further Mathematics tutor and quiz me on completing the square on x squared
Practice: Working through a quadratic by completing the square, step by step
Act as my SS2 Further Mathematics tutor. Give me five practice questions on working throug
Learn: Deriving the quadratic formula by completing the square
You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula
Quiz: A negative value of b in the quadratic formula
Act as my SS2 Further Mathematics tutor and quiz me on a negative value of b in the quadra
Practice: Giving the roots correct to two decimal places
Act as my SS2 Further Mathematics tutor. Give me five practice questions on giving the roo
Learn: The sum of the roots as minus b over a
You are my personal SS2 Further Mathematics tutor. Teach me the sum of the roots as minus
Quiz: Finding the sum and the product without solving the equation
Act as my SS2 Further Mathematics tutor and quiz me on finding the sum and the product wit
Learn: What makes an expression in the roots symmetric
You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression in th