1,301 prompts matching "An arithmetic progression with a negative common difference"
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Spot My Mistake: Partial fractions with an irreducible quadratic factor
Act as my SS3 Further Mathematics tutor. Work a question on partial fractions with an irre
Solve simultaneous equations with Cramer's rule (order 2) #1
I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient
Solve a 3x3 simultaneous equation system with Cramer's rule #1
I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y
Explain why a matrix with zero determinant has no inverse
I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi
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
Explain the difference between scalar and vector product
I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros
Explain the difference between speed and velocity in mechanics
I am in SS 3. Explain the difference between speed and velocity, and between distance and
Common Mistakes: A binary operation defined by arithmetic modulo n
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
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
Common Mistakes: Three roots in geometric progression in a cubic
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
Practice: Solving an inequality with the unknown in the denominator
Act as my SS3 Further Mathematics tutor. Give me five practice questions on solving an ine
Worked Example: The difference between a permutation and a combination
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the di
Final Revision: Combinations used with the addition and multiplication principles
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
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
Worked Example: The equation of a circle with a given centre and radius
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the eq
Learn: The parabola y squared equals 4ax, with its focus and directrix
You are my personal SS3 Further Mathematics tutor. Teach me the parabola y squared equals
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
Spot my mistake: Treating any vector with small components as a unit vector
Act as my SS3 Further Mathematics tutor. Write a short answer on treating any vector with
WAEC exam question: arranging books on a shelf with a rule
I am in SS 3. Give me a WAEC-style permutations question about arranging books on a shelf
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