1,206 prompts matching "Explaining why sum to infinity only works for |r| < 1"
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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
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
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
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Learn: Connected rates of change through the chain rule
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Practice: A body thrown vertically upwards
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a body thrown
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: Finding the common ratio from two given terms
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Practice: The middle term when the power is odd
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Practice: Finding a remainder without carrying out the division
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Learn: The median of a set of ordered data
You are my personal SS3 Further Mathematics tutor. Teach me the median of a set of ordered
Practice: The rank correlation coefficient
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Add two matrices, 2x2 #1
Give me a matrix problem where A=[[2,3],[1,4]], B=[[5,-1],[0,2]] and I have to add them, s
Subtract two matrices, 2x2 #4
Give me a matrix problem where A=[[3,0],[-1,2]], B=[[-4,5],[6,1]] and I have to subtract t
Add two matrices, 3x3 #5
Give me a matrix problem where A=[[1,2,0],[3,-1,4],[0,2,1]], B=[[2,0,1],[1,1,-1],[3,-2,0]]
Subtract two matrices, 3x3 #8
Give me a matrix problem where A=[[0,5,1],[2,-2,3],[4,1,0]], B=[[1,1,-1],[0,2,2],[-3,1,1]]
Multiply matrices step by step #4
Show me how to multiply A=[[4,1,-2],[0,3,1],[2,-1,5]], B=[[1,0,2],[-1,2,3],[0,1,-1]] using