1,322 prompts matching "Why the logarithm of a negative number does not exist"
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Worked Example: The tension in a stretched elastic string
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the te
Practice: The difference between an elastic string and a spring in compression
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the difference
Explain Back: The elastic potential energy stored in a stretched string
I have just studied the elastic potential energy stored in a stretched string in my SS3 Fu
Spot my mistake: Assuming AB and BA give the same matrix
Act as my SS3 Further Mathematics tutor. Write a short answer on assuming AB and BA give t
Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix
Act as my SS3 Further Mathematics tutor. Write a short answer on negating the leading diag
Spot my mistake: Treating the kilogram and the kilogram weight as the same unit
Act as my SS3 Further Mathematics tutor. Write a short answer on treating the kilogram and
Quiz me on 2x2 and 3x3 determinants together
Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te
Show all working: evaluate a 3x3 determinant
Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show
Explain-back: complex conjugates
I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di
Simplifying an expression before solving an equation
I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful
Evaluating a function at an algebraic input
I am in SS 3. Quiz me with 3 short Additional Maths questions on evaluating a function at
Reviewing all function skills before a test
I am in SS 3. Quiz me with 5 short Additional Maths questions on a structured review of ev
Structured question: use binomial expansion to approximate a value
I am in SS 3. Give me a structured question where I expand a binomial expression and then
Structured question: permutations with repeated letters
I am in SS 3. Set me a structured question asking for the number of distinct arrangements
Structured question: probability using combinations, exam style
I am in SS 3. Give me a structured question where I must find a probability by dividing th
Explain back: difference between permutations and combinations
I am in SS 3. Let me explain in my own words why order matters for permutations but not fo
Solve 2sin(x) + 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x
Worked example: seat 4 boys and 3 girls alternately in a row
I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and
Structured word problem: market trader's geometric savings
I am in SS 3. Give me a structured geometric progression word problem where a market trade
Quiz me on equilibrium conditions
I am in SS 3. Quiz me with two short problems testing whether a set of forces is in equili