757 prompts matching "Carrying as though the base were ten"
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
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
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
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
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
Word problem: The area of a described plot bounded by a curve
Act as my SS3 Mathematics tutor. Give me three word problems on the area of a described pl
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
Practice set: The area between two curves
Act as my SS3 Mathematics tutor. Give me five practice questions on the area between two c
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
Worked example: Finding the magnitude and direction of a vector
Act as my SS3 Mathematics tutor. Take me through one full worked example on finding the ma
Real-life Nigeria: The resultant velocity of a boat crossing a river
Act as my SS3 Mathematics tutor. Show me where the resultant velocity of a boat crossing a
Quiz me: The vector joining two points, found from their position vectors
Act as my SS3 Mathematics tutor and quiz me on the vector joining two points, found from t
Explain back: The midpoint of a line segment in vector form
I have just studied the midpoint of a line segment in vector form in my SS3 Mathematics cl
Spot my mistake: Subtracting the position vectors in the wrong order
Act as my SS3 Mathematics tutor. Work a question on subtracting the position vectors in th
Real-life Nigeria: The centroid of a triangle found from its vertices
Act as my SS3 Mathematics tutor. Show me where the centroid of a triangle found from its v