1,206 prompts matching "Explaining why sum to infinity only works for |r| < 1"
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Practice: Equating real and imaginary parts to find two unknowns
Act as my SS3 Further Mathematics tutor. Give me five practice questions on equating real
Worked Example: Squaring a complex number
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on squari
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
Worked Example: Classifying a stationary point by the sign of the gradient either side
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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
Practice: The sign convention for displacement, velocity and acceleration
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Learn: Newton's second law written as F equals ma
You are my personal SS3 Further Mathematics tutor. Teach me Newton's second law written as
Worked Example: Power as the rate of doing work
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Worked Example: Finding the first term and the common difference from two given terms
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
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
Show all working: adding three matrices in one question
Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C
Show all working: evaluate a 3x3 determinant
Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show
Find the inverse of a 3x3 matrix using cofactors #3
Give me a 3x3 matrix like A=[[1,-1,2],[0,2,1],[3,0,1]] and guide me through finding its in
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
Find the resultant of two forces #1
I am in SS 3. Give me a problem with two forces of 8N and 6N acting at 60 degrees to each
Find the resultant of two forces #2
Give me a problem with two forces of 10N and 12N acting at 90 degrees and ask me to find t
Find the resultant of two forces #3
Give me a problem with two forces of 5N and 9N acting at 45 degrees and ask me to find the
Find the resultant of two forces #4
I am in SS 3. Give me a problem with two forces of 15N and 7N acting at 120 degrees and as
Find the resultant of two forces #5
I am in SS 3. Give me a problem with forces of 20N due east and 14N due north and ask me t