1,334 prompts matching "find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1"
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Structured question: find k so a cubic has a repeated root
I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must
Structured question: binomial expansion coefficient equation
I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien
WAEC exam question: forming a quadratic equation from a word problem
I am in SS 3. Give me a WAEC-style Further Maths word problem, such as one about two numbe
Worked Example: Finding a particular term of a binomial expansion
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Solve a 3x3 system using the inverse matrix method #1
Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding
Solve a 3x3 system using the inverse matrix method #2
I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it
Explain the triangle of forces method
Explain how the triangle of forces method finds a resultant, and compare it with the paral
Find and classify stationary points #2
I am in SS 3. Give me a calculus problem where y = 2x^3 - 15x^2 + 24x, find the stationary
Worked example: solving simultaneous equations with matrices
I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve
Simplifying algebraic fractions that need factorising a quadratic first
I am in SS 3. Quiz me with 4 short Additional Maths questions on simplifying an algebraic
Solving an equation formed by equating two algebraic fractions
I am in SS 3. I'm going to explain solving an equation where two algebraic fractions are s
Testing whether a relation is a function
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on test
Showing that fg(x) is not the same as gf(x)
I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec
Function notation applied to a real-world formula
I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a fu
Function machines as an introduction to function notation
I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to
Structured question: solve an exponential equation using indices
I am in SS 3. Give me a structured Additional Maths question where I solve an equation lik
Show that command word: laws of indices
I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr
WAEC exam question: solving an equation involving surds
I am in SS 3. Give me a WAEC-style Further Maths question where I solve an equation contai
Structured question: solve a logarithmic equation with two conditions
I am in SS 3. Give me a structured question where I solve a logarithmic equation and must
Structured question: solve a trig equation for all solutions in range
I am in SS 3. Give me a structured question asking me to solve a trigonometric equation an