1,213 prompts matching "Find alpha squared plus beta squared using sum and product"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
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: Assuming AB and BA give the same matrix
Act as my SS3 Further Mathematics tutor. Write a short answer on assuming AB and BA give t
Spot my mistake: Assuming moments may only be taken about the pivot and never about another point
Act as my SS3 Further Mathematics tutor. Write a short answer on assuming moments may only
Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1
I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/
Explain finding area under a curve using integration
I am in SS 3. Explain how definite integration gives the area under a curve between two li
Worked example: finding the matrix of cofactors and the adjugate
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the ma
Structured question: equation of a circle from centre and a point
I am in SS 3. Set me a structured question where I am given the centre of a circle and a p
Show that command word: stationary point classification
I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a
Structured question: line through (1,4) and (5,-2)
I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and
Structured question: perpendicular bisector of (2,1) and (-4,7)
I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi
Structured question: find k so a cubic has a repeated root
I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must
Structured question: circle and line with an unknown intercept
I am in SS 3. Give me a structured coordinate geometry question where a line with an unkno
Find the inverse of a 2x2 matrix #1
Give me a 2x2 matrix like A=[[2,3],[1,4]] and ask me to find its inverse using the determi
Find the inverse of a 2x2 matrix #2
I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us
Find the inverse of a 2x2 matrix #3
I am in SS 3. Give me a 2x2 matrix like A=[[4,1],[2,3]] and ask me to find its inverse usi
Find the inverse of a 2x2 matrix #4
Give me a 2x2 matrix like A=[[6,-1],[2,4]] and ask me to find its inverse using the determ
Find the inverse of a 2x2 matrix #5
Give me a 2x2 matrix like A=[[3,2],[5,4]] and ask me to find its inverse using the determi
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