1,323 prompts matching "Applying the sum to infinity formula when the ratio lies between minus one and o"
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Quiz: Why the power rule fails for the integral of one over x
Act as my SS3 Further Mathematics tutor and quiz me on why the power rule fails for the in
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.
Quiz: The general term of a binomial expansion
Act as my SS3 Further Mathematics tutor and quiz me on the general term of a binomial expa
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
Quiz: The modal class of a grouped frequency distribution
Act as my SS3 Further Mathematics tutor and quiz me on the modal class of a grouped freque
Explain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
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 #5
Give me a 2x2 matrix like A=[[3,2],[5,4]] and ask me to find its inverse using the determi
Explain the adjoint of a matrix
Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi
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 #3
Give me a problem with two forces of 5N and 9N acting at 45 degrees and ask me to find the
Resolve a force into horizontal and vertical components #2
Give me a resolution of forces problem with a force of 25N acting at 50 degrees above the
Find the resultant of several concurrent forces #1
Give me a problem with three coplanar forces of 5N, 7N and 9N acting at different angles a
Find the resultant of several concurrent forces #3
I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po
Explain the triangle of forces method
Explain how the triangle of forces method finds a resultant, and compare it with the paral
Explain the conditions for equilibrium of a rigid body
I am in SS 3. Explain the principal conditions needed for a rigid body to be in equilibriu
Scalar (dot) and vector (cross) product practice #1
I am in SS 3. Give me a vector problem where a = 2i + 3j and b = 4i - j, find a . b and th