1,301 prompts matching "Verifying an index law with numbers"
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Practice: Converting between index form and logarithm form
Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting bet
Explain Back: The laws of logarithms for a product and for a quotient
I have just studied the laws of logarithms for a product and for a quotient in my SS3 Furt
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 number of arrangements of n different objects in a row
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the nu
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
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: 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
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
Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all
Act as my SS3 Further Mathematics tutor. Write a short answer on assuming a quadratic 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
Structured question: binomial expansion with a negative term
I am in SS 3. Give me a structured question expanding a binomial like (x - 2y)^n, checking
AP with 3rd term 11 and 8th term 31: find a and d
I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1
GP with 3rd term 18 and 6th term 486: find a and r
I am in SS 3. Give me a structured geometric progression question where the 3rd term is 18
Structured question: trig equation with a coefficient inside the angle
I am in SS 3. Give me a structured trigonometric equation question where the angle inside
Structured question: stationary point on a curve with an unknown constant
I am in SS 3. Give me a structured differentiation question where a curve contains an unkn
Structured question: quadratic formula question with a negative discriminant
I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati
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) #3
Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a
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