1,322 prompts matching "The middle term when n is even"
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Quiz me: calculus differentiation rules
I am in SS 3. Quiz me with three short differentiation questions, one needing the product
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
Practice: Testing a binary operation for associativity
Act as my SS3 Further Mathematics tutor. Give me five practice questions on testing a bina
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
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
Practice: Converting between index form and logarithm form
Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting bet
Worked Example: Finding one over alpha plus one over beta
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Explain Back: Finding alpha squared beta plus alpha beta squared
I have just studied finding alpha squared beta plus alpha beta squared in my SS3 Further M
Worked Example: Evaluating a polynomial by substitution
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on evalua
Explain Back: Forming a cubic equation whose three roots are given
I have just studied forming a cubic equation whose three roots are given in my SS3 Further
Explain Back: Solving an inequality that involves a modulus
I have just studied solving an inequality that involves a modulus in my SS3 Further Mathem
Practice: Choosing a committee that must contain one particular person
Act as my SS3 Further Mathematics tutor. Give me five practice questions on choosing a com
Explain Back: Choosing a committee with a stated number from each of two groups
I have just studied choosing a committee with a stated number from each of two groups in m
Worked Example: Solving cos x equals a negative value, and finding both solutions
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on solvin
Explain Back: Solving a quadratic in sin x
I have just studied solving a quadratic in sin x in my SS3 Further Mathematics class. Let
Practice: A uniform beam resting on two supports
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a uniform beam
Practice: A particle on a smooth table connected to a hanging particle
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a particle on
Explain Back: A particle on a rough table connected to a hanging particle
I have just studied a particle on a rough table connected to a hanging particle in my SS3