1,322 prompts matching "Proving the sum formula for a geometric progression"
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Quiz: Writing a two-dimensional vector as a column
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Spot My Mistake: Drawing a vector as a directed line segment
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Practice: A vector of stated magnitude in a given direction
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Practice: Equating real and imaginary parts to find two unknowns
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Practice: Why complex roots of a real quadratic come in conjugate pairs
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Practice: Differentiating x squared from first principles
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Practice: Differentiating sin x and cos x
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Learn: Differentiating sin of a multiple of x
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Learn: Integrating a polynomial term by term
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Learn: Finding displacement by integrating velocity
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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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Learn: Newton's second law written as F equals ma
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Spot My Mistake: Partial fractions with an irreducible quadratic factor
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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 #1
Show me how to multiply A=[[2,1],[0,-3]], B=[[1,-2],[4,3]] using the row-times-column meth