1,334 prompts matching "Universal set and its role in set problems"
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Practice: The sign convention for displacement, velocity and acceleration
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sign conve
Quiz: Impulse as the change in momentum
Act as my SS3 Further Mathematics tutor and quiz me on impulse as the change in momentum.
Practice: The conservation of momentum in a collision
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the conservati
Worked Example: Power as the rate of doing work
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on power
Learn: The kinetic energy of a moving body
You are my personal SS3 Further Mathematics tutor. Teach me the kinetic energy of a moving
Spot My Mistake: Finding the common ratio from two given terms
Act as my SS3 Further Mathematics tutor. Work a question on finding the common ratio from
Practice: The sum to infinity of a convergent geometric series
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Quiz: The general term of a binomial expansion
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Practice: Finding a remainder without carrying out the division
Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding a rema
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
Explain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Order of matrices before multiplying
I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m
Explain the rule of signs for determinants
Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3
Spot my mistake in a determinant expansion
I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si
Show all working: evaluate a 3x3 determinant
Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show
WAEC past-question practice: determinants #1
I am in SS 3. Give me a WAEC Further Mathematics past-question on evaluating a 3x3 determi
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 #3
I am in SS 3. Give me a WAEC Further Mathematics exam-style question applying Cramer's rul
Show all working: the determinant of a three by three matrix
You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat
Solve simultaneous equations using an inverse matrix #1
I am in SS 3. Show me how to write 2x + 3y = 7 and x - y = 1 as a matrix equation, find th