1,112 prompts matching "Sum of a geometric series with a negative common ratio"
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Explain the conditions for equilibrium of a rigid body
I am in SS 3. Explain the principal conditions needed for a rigid body to be in equilibriu
Explain the polygon of forces
I am in SS 3. Explain what the polygon of forces method is and how it shows several concur
Solve a friction and forces of equilibrium problem #1
I am in SS 3. Give me a problem where a block of mass 5kg on a rough horizontal surface wi
Solve a quadratic equation with complex roots #1
I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 + 4 = 0 for c
Solve a quadratic equation with complex roots #2
I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0
Solve a quadratic equation with complex roots #3
I am in SS 3. Give me a quadratic equation problem where I need to solve 2x^2 + x + 3 = 0
Quiz me on modulus and argument of complex numbers
I am in SS 3. Quiz me with two complex numbers in different quadrants and ask me to find t
Integration practice question #3
I am in SS 3. Give me an integration problem where I must find the definite integral of x^
Explain the difference between differentiation and integration
I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro
Quiz me on rates of change problems
I am in SS 3. Quiz me with a short rates-of-change word problem involving calculus, such a
Kinematics: equations of motion practice #1
I am in SS 3. Give me a kinematics problem where a car accelerates from 5 m/s to 20 m/s in
Kinematics: equations of motion practice #4
I am in SS 3. Give me a kinematics problem where a train decelerates from 30 m/s to rest i
Learn: The union of two sets written in set-builder notation
You are my personal SS3 Further Mathematics tutor. Teach me the union of two sets written
Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements
Act as my SS3 Further Mathematics tutor. Work a question on de Morgan's law that the compl
WAEC Prep: The number of elements in the union of two sets
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Final Revision: The power set, and how many subsets a set of n elements has
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
You are my personal SS3 Further Mathematics tutor. Teach me reading a binary operation def
Quiz: Testing a binary operation for commutativity
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WAEC Prep: Completing a Cayley table for an operation on a small set
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Learn: The multiplication and division laws of indices used together
You are my personal SS3 Further Mathematics tutor. Teach me the multiplication and divisio