1,327 prompts matching "Real-life application of the condition for a line to be tangent to a curve"
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Explain-back: my understanding of Cramer's rule
I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the
Explain-back: the chain rule in calculus
I am in SS 3. Let me explain the chain rule for differentiation in my own words with my ow
Worked example: differentiating using the quotient rule
I am in SS 3. Show me one fully worked example of differentiating a quotient of two functi
Worked example: projectile range and time of flight
I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl
Worked example: finding the argument in the correct quadrant
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Quiz me: forces and equilibrium mixed
I am in SS 3. Quiz me with one resultant-of-forces question and one moments/equilibrium qu
WAEC Further Mathematics: vectors and geometry combined question
I am in SS 3. Give me a WAEC Further Mathematics style question combining position vectors
Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
You are my personal SS3 Further Mathematics tutor. Teach me reading a binary operation def
Worked Example: Testing whether a binary operation is closed on a given set
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on testin
Quiz: Testing a binary operation for commutativity
Act as my SS3 Further Mathematics tutor and quiz me on testing a binary operation for comm
Practice: Testing a binary operation for associativity
Act as my SS3 Further Mathematics tutor. Give me five practice questions on testing a bina
WAEC Prep: Completing a Cayley table for an operation on a small set
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Learn: Simplifying a surd by extracting the largest perfect square
You are my personal SS3 Further Mathematics tutor. Teach me simplifying a surd by extracti
Quiz: Multiplying two surds and simplifying the result
Act as my SS3 Further Mathematics tutor and quiz me on multiplying two surds and simplifyi
Common Mistakes: Solving an equation in which the unknown sits under a root
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
Quiz: Solving an index equation by writing both sides to the same base
Act as my SS3 Further Mathematics tutor and quiz me on solving an index equation by writin
Practice: Converting between index form and logarithm form
Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting bet
Quiz: Forming a quadratic equation whose roots are given
Act as my SS3 Further Mathematics tutor and quiz me on forming a quadratic equation whose
Learn: Finding alpha squared plus beta squared from the sum and product
You are my personal SS3 Further Mathematics tutor. Teach me finding alpha squared plus bet
Practice: Finding alpha minus beta from the sum and the product
Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding alpha