1,334 prompts matching "A conditional statement set in an everyday situation"
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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: Finding displacement by integrating velocity
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Quiz: Choosing which equation of motion to use
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Practice: The sign convention for displacement, velocity and acceleration
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Practice: The range of a projectile on level ground
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Practice: The conservation of momentum in a collision
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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
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Spot My Mistake: Finding the common ratio from two given terms
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Practice: The sum to infinity of a convergent geometric series
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Spot My Mistake: Partial fractions with an irreducible quadratic factor
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Practice: Finding a remainder without carrying out the division
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Practice: The rank correlation coefficient
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the rank corre
Explain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Order of matrices before multiplying
I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m
Solve a 3x3 simultaneous equation system with Cramer's rule #1
I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y
Solve a 3x3 simultaneous equation system with Cramer's rule #2
I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2
Find the inverse of a 2x2 matrix #1
Give me a 2x2 matrix like A=[[2,3],[1,4]] and ask me to find its inverse using the determi
Find the inverse of a 2x2 matrix #2
I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us