1,323 prompts matching "Completing the square with a fractional coefficient of x"
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Explain Back: A probability distribution table for a discrete random variable
I have just studied a probability distribution table for a discrete random variable in my
Practice: Using a binomial expansion to approximate a number
Act as my SS3 Further Mathematics tutor. Give me five practice questions on using a binomi
Explain Back: Finding n and p from a given mean and variance
I have just studied finding n and p from a given mean and variance in my SS3 Further Mathe
Explain Back: Converting a value to a z-score
I have just studied converting a value to a z-score in my SS3 Further Mathematics class. L
Worked Example: Finding a value from a given probability by working backwards
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Worked Example: Testing two vectors for perpendicularity
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on testin
Practice: Equating real and imaginary parts to find two unknowns
Act as my SS3 Further Mathematics tutor. Give me five practice questions on equating real
Worked Example: Squaring a complex number
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Practice: Converting a complex number from polar form back to a plus bi
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Explain Back: Differentiating one over x from first principles
I have just studied differentiating one over x from first principles in my SS3 Further Mat
Practice: Differentiating sin x and cos x
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Explain Back: Differentiating tan x
I have just studied differentiating tan x in my SS3 Further Mathematics class. Let me expl
Worked Example: Differentiating a bracket raised to a power
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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
Explain Back: Writing a recurring decimal as a geometric series
I have just studied writing a recurring decimal as a geometric series in my SS3 Further Ma
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
Add two matrices, 2x2 #3
I am in SS 3. Give me a matrix problem where A=[[6,2],[-3,1]], B=[[1,4],[2,-5]] and I have
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]]
Add two matrices, 2x2 #7
I am in SS 3. Give me a matrix problem where A=[[7,-3],[2,5]], B=[[-1,4],[3,0]] and I have