1,308 prompts matching "Proving a logarithmic identity from the laws"
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Practice: Differentiating sin x and cos x
Act as my SS3 Further Mathematics tutor. Give me five practice questions on differentiatin
Quiz: A rate of change problem about a vessel filling with water
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Quiz: Choosing which equation of motion to use
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Practice: A body thrown vertically upwards
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Quiz me on units of force
Quiz me on the SI unit of force and how it is derived from mass and acceleration, then giv
Teach me composition of coplanar forces
I am in SS 3. Teach me what composition of forces means in mechanics and how it differs fr
Quiz me on unit vectors
I am in SS 3. Quiz me on finding unit vectors from given vectors in 2D and 3D, and check w
Integration practice question #3
I am in SS 3. Give me an integration problem where I must find the definite integral of x^
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 #3
I am in SS 3. Give me a kinematics problem where a body starts from rest and accelerates a
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
Kinematics: equations of motion practice #5
I am in SS 3. Give me a kinematics problem where a stone is dropped from a height of 45m,
Projectile motion problem #4
I am in SS 3. Give me a projectile motion problem where a ball is projected horizontally a
Quiz: Testing a binary operation for commutativity
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Practice: Testing a binary operation for associativity
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Practice: Converting between index form and logarithm form
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Quiz: Forming a quadratic equation whose roots are given
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Quiz: Finding alpha cubed plus beta cubed
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Practice: Factorising a cubic completely once one factor is known
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Quiz: Solving a quadratic inequality using a sign table
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