1,252 prompts matching "Multi-part index exam question with a real context"
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Explain Back: Differentiating tan x
I have just studied differentiating tan x in my SS3 Further Mathematics class. Let me expl
Learn: Choosing between the product rule and the quotient rule
You are my personal SS3 Further Mathematics tutor. Teach me choosing between the product r
Spot My Mistake: Classifying a stationary point by the second derivative
Act as my SS3 Further Mathematics tutor. Work a question on classifying a stationary point
Explain Back: The constant of integration, and why it appears
I have just studied the constant of integration, and why it appears in my SS3 Further Math
Spot My Mistake: Finding the constant of integration from a given point
Act as my SS3 Further Mathematics tutor. Work a question on finding the constant of integr
Learn: Integrating a polynomial term by term
You are my personal SS3 Further Mathematics tutor. Teach me integrating a polynomial term
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
Learn: An area lying below the x-axis, and its sign
You are my personal SS3 Further Mathematics tutor. Teach me an area lying below the x-axis
Learn: Finding displacement by integrating velocity
You are my personal SS3 Further Mathematics tutor. Teach me finding displacement by integr
Quiz: Using the initial conditions to fix the constants in a kinematics problem
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Learn: Connected rates of change through the chain rule
You are my personal SS3 Further Mathematics tutor. Teach me connected rates of change thro
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
Explain Back: The greatest height reached by a body thrown upwards
I have just studied the greatest height reached by a body thrown upwards in my SS3 Further
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
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Learn: Newton's second law written as F equals ma
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Quiz: Newton's third law, and identifying the pair of forces
Act as my SS3 Further Mathematics tutor and quiz me on Newton's third law, and identifying
Learn: The kinetic energy of a moving body
You are my personal SS3 Further Mathematics tutor. Teach me the kinetic energy of a moving
Spot My Mistake: The sum of the first n terms of an arithmetic progression
Act as my SS3 Further Mathematics tutor. Work a question on the sum of the first n terms o
Explain Back: The sum of the first n terms of a geometric progression
I have just studied the sum of the first n terms of a geometric progression in my SS3 Furt