1,334 prompts matching "Teach me conditions for a line and a curve to intersect"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Quiz: Choosing which equation of motion to use
Act as my SS3 Further Mathematics tutor and quiz me on choosing which equation of motion t
Quiz: The time of flight of a projectile
Act as my SS3 Further Mathematics tutor and quiz me on the time of flight of a projectile.
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
Spot My Mistake: The sum of the first n terms of an arithmetic progression
Act as my SS3 Further Mathematics tutor. Work a question on the sum of the first n terms o
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
Quiz: The remainder theorem, and the remainder on dividing by x minus a
Act as my SS3 Further Mathematics tutor and quiz me on the remainder theorem, and the rema
Explain pre-multiplication and post-multiplication
I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and
Identify symmetric matrices practice
Give me three different 3x3 matrices and ask me to test each one for symmetry using A = A^
Explain the rule of signs for determinants
Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3
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
Solve a 3x3 simultaneous equation system with Cramer's rule #3
Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh
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
Solve a 3x3 system using the inverse matrix method #1
Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding
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