757 prompts matching "Show that, hence find: Leaving an answer in exact surd form rather than rounding"
Teach me: What dy by dx means as a rate of change
You are my personal SS3 Mathematics tutor. Teach me what dy by dx means as a rate of chang
Worked example: A ladder sliding down a wall as a related-rate problem
Act as my SS3 Mathematics tutor. Take me through one full worked example on a ladder slidi
Teach me: Integration as the reverse of differentiation
You are my personal SS3 Mathematics tutor. Teach me integration as the reverse of differen
Worked example: Integrating a polynomial term by term
Act as my SS3 Mathematics tutor. Take me through one full worked example on integrating a
Exam timing: A timed set of polynomial integrations
Act as my SS3 Mathematics tutor. Set me a timed run of questions on a timed set of polynom
Worked example: The area between a curve and the x-axis
Act as my SS3 Mathematics tutor. Take me through one full worked example on the area betwe
Exam timing: A timed set of definite integral evaluations
Act as my SS3 Mathematics tutor. Set me a timed run of questions on a timed set of definit
Teach me: The position vector of a point relative to the origin
You are my personal SS3 Mathematics tutor. Teach me the position vector of a point relativ
Worked example: Proving three points are collinear with vectors
Act as my SS3 Mathematics tutor. Take me through one full worked example on proving three
Teach me: A translation described by a column vector
You are my personal SS3 Mathematics tutor. Teach me a translation described by a column ve
Teach me: Rotation, and its centre, angle and direction
You are my personal SS3 Mathematics tutor. Teach me rotation, and its centre, angle and di
Teach me: Enlargement, and its centre and scale factor
You are my personal SS3 Mathematics tutor. Teach me enlargement, and its centre and scale
Teach me: A matrix, and what its order means
You are my personal SS3 Mathematics tutor. Teach me a matrix, and what its order means, wo
Worked example: Multiplying a 2 by 3 matrix by a 3 by 2 matrix
Act as my SS3 Mathematics tutor. Take me through one full worked example on multiplying a
Worked example: Solving a 2 by 2 system by the matrix method
Act as my SS3 Mathematics tutor. Take me through one full worked example on solving a 2 by
Teach me: The shape of a quadratic graph, and what the sign of a does to it
You are my personal SS3 Mathematics tutor. Teach me the shape of a quadratic graph, and wh
Worked example: Sketching a quadratic from its factorised form
Act as my SS3 Mathematics tutor. Take me through one full worked example on sketching a qu
Worked example: Solving a quadratic graphically by adding a straight line
Act as my SS3 Mathematics tutor. Take me through one full worked example on solving a quad
Teach me: What linear programming sets out to optimise
You are my personal SS3 Mathematics tutor. Teach me what linear programming sets out to op
Worked example: Testing the vertices of the feasible region
Act as my SS3 Mathematics tutor. Take me through one full worked example on testing the ve