1,310 prompts matching "Practice: An operation that is not commutative, with a counter-example"
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Practice: The argument of a complex number in the second or third quadrant
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the argument o
Practice: The addition of complex numbers shown on an Argand diagram
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the addition o
Explain Back: The locus of a complex number at a fixed distance from a point
I have just studied the locus of a complex number at a fixed distance from a point in my S
Spot My Mistake: Deriving a multiple angle formula from de Moivre's theorem
Act as my SS3 Further Mathematics tutor. Work a question on deriving a multiple angle form
Practice: Differentiating sin x and cos x
Act as my SS3 Further Mathematics tutor. Give me five practice questions on differentiatin
Spot My Mistake: Finding the constant of integration from a given point
Act as my SS3 Further Mathematics tutor. Work a question on finding the constant of integr
Worked Example: The area between a curve and the x-axis
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the ar
Quiz: A rate of change problem about a vessel filling with water
Act as my SS3 Further Mathematics tutor and quiz me on a rate of change problem about a ve
Practice: The range of a projectile on level ground
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the range of a
Spot My Mistake: The sum of the first n terms of an arithmetic progression
Act as my SS3 Further Mathematics tutor. Work a question on the sum of the first n terms o
Practice: The rank correlation coefficient
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the rank corre
Spot my mistake in a matrix transpose
I am in SS 3. I found the transpose of A=[[1,2,3],[4,5,6]] as [[1,4],[2,5],[3,6]] — please
Solve simultaneous equations with Cramer's rule (order 2) #2
I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien
Solve simultaneous equations with Cramer's rule (order 2) #4
Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan
Solve a 3x3 simultaneous equation system with Cramer's rule #2
I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2
WAEC past-question practice: determinants #2
I am in SS 3. Set me a WAEC-style question that uses Cramer's rule to solve a pair of simu
WAEC past-question practice: determinants #4
I am in SS 3. Test me with a timed WAEC-style determinant question — give it to me cold, l
Define mass, force and weight with correct units
I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl
WAEC past-question practice: coplanar forces #4
I am in SS 3. Test me with a timed WAEC-style coplanar forces question, give it to me cold
Explain the meaning of a probability distribution
I am in SS 3. Explain what a probability distribution is and how it differs from a single