1,227 prompts matching "Common mistakes with composite and inverse functions"
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Explain the difference between differentiation and integration
I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro
Show all working: differentiation and stationary points question
I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring differen
Explain the difference between speed and velocity in mechanics
I am in SS 3. Explain the difference between speed and velocity, and between distance and
Spot my mistake in a projectile motion question
I am in SS 3. I split an initial velocity into horizontal and vertical components for a pr
Show all working: the range and the greatest height of a projectile
I am in SS 3. Give me a Cambridge Additional Mathematics style the range and the greatest
Explain time of flight and range in projectile motion
I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o
WAEC Further Mathematics command words explained
I am in SS 3. Explain what WAEC command words like 'evaluate', 'hence', 'show that' and 'd
Explain-back: my understanding of Cramer's rule
I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the
Worked example: solving simultaneous equations with matrices
I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve
Worked example: finding the matrix of cofactors and the adjugate
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the ma
Worked example: projectile range and time of flight
I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl
Spot my mistake in a Poisson probability calculation
I am in SS 3. I calculated a Poisson probability but I'm not confident about my factorial
Spot my mistake finding a vector cross product
I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about
Spot my mistake solving a moments problem
I am in SS 3. I set up a moments equation about a pivot but I think I forgot to use a perp
Show all working: vectors and forces combined question
I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force
WAEC Further Mathematics: complex numbers and Argand diagram question
I am in SS 3. Give me a WAEC Further Mathematics style question requiring me to plot a com
Worked Example: Simplifying an expression carrying both a negative and a fractional index
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on simpli
Practice: Converting between index form and logarithm form
Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting bet
Explain Back: The laws of logarithms for a product and for a quotient
I have just studied the laws of logarithms for a product and for a quotient in my SS3 Furt
Show All Working: Solving a logarithmic equation and rejecting the invalid root
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a