1,245 prompts matching "Practice: Polynomial notation such as P of x"
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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
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: finding the argument in the correct quadrant
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Spot my mistake in a Cramer's rule solution
I am in SS 3. I solved a pair of simultaneous equations using Cramer's rule but I'm not su
Spot my mistake finding a resultant force
I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used
Spot my mistake finding a vector cross product
I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about
Show all working: vectors and forces combined question
I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force
Show all working: complex numbers and quadratics combined
I am in SS 3. Give me a Cambridge Additional Mathematics style question that starts with a
Show all working: calculus and stationary points multi-part
I am in SS 3. Give me a multi-part Cambridge Additional Mathematics style question: part (
Teach me Cramer's rule from first principles
I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de
Final revision: my three hardest Further Maths topics
Ask me which three SS3 Further Mathematics topics I find hardest, then set me one focused
Teach me the Poisson distribution from scratch
I am in SS 3. Teach me what the Poisson distribution is, when we use it instead of binomia
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
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
Worked Example: Collecting like surds in a single sum
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on collec
Quiz: Multiplying two surds and simplifying the result
Act as my SS3 Further Mathematics tutor and quiz me on multiplying two surds and simplifyi
Spot My Mistake: Squaring a bracket that contains a surd
Act as my SS3 Further Mathematics tutor. Work a question on squaring a bracket that contai
Worked Example: Simplifying an expression carrying both a negative and a fractional index
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on simpli
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