750 prompts matching "Increasing a quantity in a given ratio"
Word problem: Maximising the area of a rectangular plot with fixed fencing
Act as my SS3 Mathematics tutor. Give me three word problems on maximising the area of a r
Worked example: Sketching a cubic using its stationary points
Act as my SS3 Mathematics tutor. Take me through one full worked example on sketching a cu
WAEC pitfalls: Omitting to test the nature of a stationary point
Act as my SS3 Mathematics tutor. Show me the mistake candidates most often make on omittin
Practice set: Finding the maximum value a function reaches
Act as my SS3 Mathematics tutor. Give me five practice questions on finding the maximum va
Real-life Nigeria: Minimising the cost of a described Nigerian container
Act as my SS3 Mathematics tutor. Show me where minimising the cost of a described Nigerian
Exam timing: A timed set of maximum and minimum problems
Act as my SS3 Mathematics tutor. Set me a timed run of questions on a timed set of maximum
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
Word problem: A tank filling problem solved with related rates
Act as my SS3 Mathematics tutor. Give me three word problems on a tank filling problem sol
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
WAEC pitfalls: Substituting the numbers before differentiating
Act as my SS3 Mathematics tutor. Show me the mistake candidates most often make on substit
Practice set: Practice on two rates of change linked by a chain rule
Act as my SS3 Mathematics tutor. Give me five practice questions on practice on two rates
Real-life Nigeria: A rate of change problem taken from Nigerian manufacturing
Act as my SS3 Mathematics tutor. Show me where a rate of change problem taken from Nigeria
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
Word problem: Recovering a distance function from a velocity function
Act as my SS3 Mathematics tutor. Give me three word problems on recovering a distance func
Worked example: Integrating a polynomial term by term
Act as my SS3 Mathematics tutor. Take me through one full worked example on integrating a
WAEC pitfalls: Dividing by the original index instead of the new one
Act as my SS3 Mathematics tutor. Show me the mistake candidates most often make on dividin
Practice set: Integrating expressions with negative and fractional indices
Act as my SS3 Mathematics tutor. Give me five practice questions on integrating expression
Real-life Nigeria: Finding a curve from its gradient function and one point on it
Act as my SS3 Mathematics tutor. Show me where finding a curve from its gradient function