751 prompts matching "A Pythagoras problem set in three dimensions"
Teach me: Stationary points, and where the derivative is zero
You are my personal SS3 Mathematics tutor. Teach me stationary points, and where the deriv
Quiz me: Solving the derivative equal to zero to locate stationary points
Act as my SS3 Mathematics tutor and quiz me on solving the derivative equal to zero to loc
Explain back: The second derivative test for a maximum or a minimum
I have just studied the second derivative test for a maximum or a minimum in my SS3 Mathem
Spot my mistake: Calling every stationary point a maximum
Act as my SS3 Mathematics tutor. Work a question on calling every stationary point a maxim
Quiz me: Relating the rate of change of volume to that of radius
Act as my SS3 Mathematics tutor and quiz me on relating the rate of change of volume to th
Explain back: The chain rule connecting two related rates
I have just studied the chain rule connecting two related rates in my SS3 Mathematics clas
Spot my mistake: Differentiating with respect to the wrong variable
Act as my SS3 Mathematics tutor. Work a question on differentiating with respect to the wr
Teach me: Integration as the reverse of differentiation
You are my personal SS3 Mathematics tutor. Teach me integration as the reverse of differen
Quiz me: The rule for integrating a power of x
Act as my SS3 Mathematics tutor and quiz me on the rule for integrating a power of x. Ask
Explain back: Why the constant of integration is needed
I have just studied why the constant of integration is needed in my SS3 Mathematics class.
Spot my mistake: Forgetting the constant of integration in an indefinite integral
Act as my SS3 Mathematics tutor. Work a question on forgetting the constant of integration
Teach me: The definite integral and its limits
You are my personal SS3 Mathematics tutor. Teach me the definite integral and its limits,
Quiz me: Evaluating a definite integral between two limits
Act as my SS3 Mathematics tutor and quiz me on evaluating a definite integral between two
Explain back: Why the constant of integration cancels in a definite integral
I have just studied why the constant of integration cancels in a definite integral in my S
Spot my mistake: Subtracting the limits in the wrong order
Act as my SS3 Mathematics tutor. Work a question on subtracting the limits in the wrong or
Practice set: The area between two curves
Act as my SS3 Mathematics tutor. Give me five practice questions on the area between two c
Quiz me: Writing a vector in component form
Act as my SS3 Mathematics tutor and quiz me on writing a vector in component form. Ask fiv
Explain back: Adding and subtracting vectors by components
I have just studied adding and subtracting vectors by components in my SS3 Mathematics cla
Spot my mistake: Adding vectors by adding their magnitudes
Act as my SS3 Mathematics tutor. Work a question on adding vectors by adding their magnitu
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